E. B. Flynn, L. C. Bassman, T. P. Smith, Z. Lalji, L. H. Fullerton, T. C. Leung, S. R. Greefield, and A. C. Koskelo, "Three-wavelength ESPI with the Fourier transform method for simulataneous measurement of microstructure scale deformations in three dimensions," Appl. Opt. 45(14), 3218-3225 (2006).

[CrossRef]
[PubMed]

M. S. Kirugulige and H. V. Tippur, "Mixed mode dynamic crack growth in functionally graded glass filled epoxy," Exp. Mech. 46, 269-281 (2006).

[CrossRef]

*Proceedings of the 2006 SEM Annual Conference and Exposition on Experimental and Applied Mechanics*, cd-rom, June 4-7, 2006 (Saint Louis, Missouri).

[PubMed]

J. W. Dally and W. F. Riley, *Experimental Stress Analysis*, 4th ed., College House Enterprises, LLC (2005).

R. C. Gonzalez, R. E. Woods, and S. L. Eddins, Digital image processing using matlab (Prentice Hall, 2004), 1st edition.

M. J. Maleski, M. S. Kirugulige, and H. V. Tippur, "A method for measuring mode-I crack tip constraint under static and dynamic loading conditions," Exp. Mech. 44(5), 522-532 (2004).

[CrossRef]

M. S. Kirugulige, R. Kitey, and H. V. Tippur, "Dynamic fracture behavior of model sandwich structures with functionally graded core; a feasibility study," Compos. Sci. Technol. 65, 1052-1068 (2004).

[CrossRef]

J. N. Perie, S. Calloch, C. Cluszel, and F. Hild, "Analysis of multiaxial test on a C/C composite by using digital image correlation and a damage model," Exp. Mech. 42(3), 318-328 (2002).

[CrossRef]

D. Zhang, C. D. Eggleton, and D. D. Arola, "Evaluating the mechanical behavior of arterial tissue using digital image correlation," Exp. Mech. 42(4), 409-416 (2002).

[CrossRef]

C. C. B. Wang, J. M. Deng, G. A. Ateshian, and C. T. Hung, "An automated approach for direct measurement of two-dimensional strain distributions within articular cartilage under unconfined compression," J. Biomed. Eng. 24, 557-567 (2002).

K. Jayadevan, R. Narasimhan, T. Ramamurthy, and B. Dattaguru, "A numerical study in dynamically loaded fracture specimens," Int. J. Solids Struct. 38(5), 4987-5005 (2001).

[CrossRef]

A. J. Moore, D. P. Hand, J. S. Barton, and J. D. C. Jones, "Transient deformation measurement with electronic speckle pattern interferometry and a high speed camera," Appl. Opt. 38(7), 1159-1162 (1999).

[CrossRef]

V. Parameswaran and A. Shukla, "Dynamic fracture of a functionally gradient material having discrete property variation," J. Mater. Sci. 33, 3303-3311 (1998).

[CrossRef]

R. J. Butcher, C.-E. Rousseau, and H. V. Tippur, "A functionally graded particulate composite: Preparation, measurements and failure analysis," Acta Mater. 47(1), 259-268 (1998).

[CrossRef]

Y. J. Chao, P. F. Luo, and J. F. Kalthoff, "An experimental study of the deformation fields around a propagating crack tip," Exp. Mech. 38(2), 79-85 (1998).

[CrossRef]

Z. K. Guo and A. S. Kobayashi, "Dynamic mixed mode fracture of concrete," Int. J. Solids Struct. 32(17), 2591-2607 (1995).

[CrossRef]

D. J. Chen, F. P. Chiang, Y. S. Tan, and H. S. Don, "Digital speckle-displacement measurement using a complex spectrum method," Appl. Opt. 32(11), 1939-1849 (1993).

[CrossRef]

P. F. Lou, Y. J. Chao, M. A. Sutton, and W. H. Peters, "Accurate measurement of three-dimensional deoformations in deformable and rigid bodies using computer vision," Exp. Mech. 33(3), 123-132 (1993).

[CrossRef]

H. V. Tippur, "Coherent gradient gensing: a Fourier optics analysis and applications to fracture," Appl. Opt. 31(22), 4429-4439 (1992).

[CrossRef]

H. V. Tippur, S. Krishnaswamy, and A. J. Rosakis, "A coherent gradient sensor for crack tip measurements: Analysis and experimental results," Int. J. Fract. 48, 193-204 (1991).

[CrossRef]

H. A. Bruck, S. R. McNeill, M. A. Sutton, and W. H. Peters, "Digital image correlation using Newton-Raphson method of partial differential correction," Exp. Mech. 29, 261-267 (1989).

[CrossRef]

M. A. Sutton, W. J. Wolters, W. H. Peters, W. F. Ranson, and S. R. McNeil, "Determination of displacements using an improved digital image correlation method," Image Vis. Comput. 1(3), 133-139 (1983).

[CrossRef]

T. Nishioka and S. N. Atluri, "Path independent integrals, energy release rates, and general solutions of near-tip fields in mixed-mode dynamic fracture mechanics," Eng. Fract. Mech. 18(1), 1-22 (1983).

[CrossRef]

W. H. Peters and W. F. Ranson, "Digital image techniques in experimental stress analysis," Opt. Eng. (Bellingham) 21, 427-431 (1982).

J. W. Dally, "Dynamic photo-elastic studies of fracture," Exp. Mech. 19(10), 349-361 (1979).

[CrossRef]

P. Craven and G. Wahba, "Smoothing noisy data with spline functions: Estimating the correct degree of smoothing by the method of generalized cross validation," Numer. Math. 31, 377-405 (1979).

[CrossRef]

C. G. Broyden, "The convergence of a class of double-rank minimization algorithms," J. Inst. Math. Appl. , 76-90 (1970).

[CrossRef]

C. H. Reinsch, "Smoothing by spline functions," Numer. Math. 10, 177-183 (1967).

[CrossRef]

H. M. Westergaard, "Bearing pressure and cracks," J. Appl. Mech. 6, A49-A53 (1939).

D. Zhang, C. D. Eggleton, and D. D. Arola, "Evaluating the mechanical behavior of arterial tissue using digital image correlation," Exp. Mech. 42(4), 409-416 (2002).

[CrossRef]

C. C. B. Wang, J. M. Deng, G. A. Ateshian, and C. T. Hung, "An automated approach for direct measurement of two-dimensional strain distributions within articular cartilage under unconfined compression," J. Biomed. Eng. 24, 557-567 (2002).

T. Nishioka and S. N. Atluri, "Path independent integrals, energy release rates, and general solutions of near-tip fields in mixed-mode dynamic fracture mechanics," Eng. Fract. Mech. 18(1), 1-22 (1983).

[CrossRef]

A. J. Moore, D. P. Hand, J. S. Barton, and J. D. C. Jones, "Transient deformation measurement with electronic speckle pattern interferometry and a high speed camera," Appl. Opt. 38(7), 1159-1162 (1999).

[CrossRef]

E. B. Flynn, L. C. Bassman, T. P. Smith, Z. Lalji, L. H. Fullerton, T. C. Leung, S. R. Greefield, and A. C. Koskelo, "Three-wavelength ESPI with the Fourier transform method for simulataneous measurement of microstructure scale deformations in three dimensions," Appl. Opt. 45(14), 3218-3225 (2006).

[CrossRef]
[PubMed]

C. G. Broyden, "The convergence of a class of double-rank minimization algorithms," J. Inst. Math. Appl. , 76-90 (1970).

[CrossRef]

H. A. Bruck, S. R. McNeill, M. A. Sutton, and W. H. Peters, "Digital image correlation using Newton-Raphson method of partial differential correction," Exp. Mech. 29, 261-267 (1989).

[CrossRef]

R. J. Butcher, C.-E. Rousseau, and H. V. Tippur, "A functionally graded particulate composite: Preparation, measurements and failure analysis," Acta Mater. 47(1), 259-268 (1998).

[CrossRef]

J. N. Perie, S. Calloch, C. Cluszel, and F. Hild, "Analysis of multiaxial test on a C/C composite by using digital image correlation and a damage model," Exp. Mech. 42(3), 318-328 (2002).

[CrossRef]

Y. J. Chao, P. F. Luo, and J. F. Kalthoff, "An experimental study of the deformation fields around a propagating crack tip," Exp. Mech. 38(2), 79-85 (1998).

[CrossRef]

P. F. Lou, Y. J. Chao, M. A. Sutton, and W. H. Peters, "Accurate measurement of three-dimensional deoformations in deformable and rigid bodies using computer vision," Exp. Mech. 33(3), 123-132 (1993).

[CrossRef]

D. J. Chen, F. P. Chiang, Y. S. Tan, and H. S. Don, "Digital speckle-displacement measurement using a complex spectrum method," Appl. Opt. 32(11), 1939-1849 (1993).

[CrossRef]

D. J. Chen, F. P. Chiang, Y. S. Tan, and H. S. Don, "Digital speckle-displacement measurement using a complex spectrum method," Appl. Opt. 32(11), 1939-1849 (1993).

[CrossRef]

J. N. Perie, S. Calloch, C. Cluszel, and F. Hild, "Analysis of multiaxial test on a C/C composite by using digital image correlation and a damage model," Exp. Mech. 42(3), 318-328 (2002).

[CrossRef]

P. Craven and G. Wahba, "Smoothing noisy data with spline functions: Estimating the correct degree of smoothing by the method of generalized cross validation," Numer. Math. 31, 377-405 (1979).

[CrossRef]

J. W. Dally and W. F. Riley, *Experimental Stress Analysis*, 4th ed., College House Enterprises, LLC (2005).

J. W. Dally, "Dynamic photo-elastic studies of fracture," Exp. Mech. 19(10), 349-361 (1979).

[CrossRef]

K. Jayadevan, R. Narasimhan, T. Ramamurthy, and B. Dattaguru, "A numerical study in dynamically loaded fracture specimens," Int. J. Solids Struct. 38(5), 4987-5005 (2001).

[CrossRef]

C. C. B. Wang, J. M. Deng, G. A. Ateshian, and C. T. Hung, "An automated approach for direct measurement of two-dimensional strain distributions within articular cartilage under unconfined compression," J. Biomed. Eng. 24, 557-567 (2002).

D. J. Chen, F. P. Chiang, Y. S. Tan, and H. S. Don, "Digital speckle-displacement measurement using a complex spectrum method," Appl. Opt. 32(11), 1939-1849 (1993).

[CrossRef]

R. C. Gonzalez, R. E. Woods, and S. L. Eddins, Digital image processing using matlab (Prentice Hall, 2004), 1st edition.

D. Zhang, C. D. Eggleton, and D. D. Arola, "Evaluating the mechanical behavior of arterial tissue using digital image correlation," Exp. Mech. 42(4), 409-416 (2002).

[CrossRef]

E. B. Flynn, L. C. Bassman, T. P. Smith, Z. Lalji, L. H. Fullerton, T. C. Leung, S. R. Greefield, and A. C. Koskelo, "Three-wavelength ESPI with the Fourier transform method for simulataneous measurement of microstructure scale deformations in three dimensions," Appl. Opt. 45(14), 3218-3225 (2006).

[CrossRef]
[PubMed]

E. B. Flynn, L. C. Bassman, T. P. Smith, Z. Lalji, L. H. Fullerton, T. C. Leung, S. R. Greefield, and A. C. Koskelo, "Three-wavelength ESPI with the Fourier transform method for simulataneous measurement of microstructure scale deformations in three dimensions," Appl. Opt. 45(14), 3218-3225 (2006).

[CrossRef]
[PubMed]

R. C. Gonzalez, R. E. Woods, and S. L. Eddins, Digital image processing using matlab (Prentice Hall, 2004), 1st edition.

E. B. Flynn, L. C. Bassman, T. P. Smith, Z. Lalji, L. H. Fullerton, T. C. Leung, S. R. Greefield, and A. C. Koskelo, "Three-wavelength ESPI with the Fourier transform method for simulataneous measurement of microstructure scale deformations in three dimensions," Appl. Opt. 45(14), 3218-3225 (2006).

[CrossRef]
[PubMed]

Z. K. Guo and A. S. Kobayashi, "Dynamic mixed mode fracture of concrete," Int. J. Solids Struct. 32(17), 2591-2607 (1995).

[CrossRef]

A. J. Moore, D. P. Hand, J. S. Barton, and J. D. C. Jones, "Transient deformation measurement with electronic speckle pattern interferometry and a high speed camera," Appl. Opt. 38(7), 1159-1162 (1999).

[CrossRef]

J. N. Perie, S. Calloch, C. Cluszel, and F. Hild, "Analysis of multiaxial test on a C/C composite by using digital image correlation and a damage model," Exp. Mech. 42(3), 318-328 (2002).

[CrossRef]

C. C. B. Wang, J. M. Deng, G. A. Ateshian, and C. T. Hung, "An automated approach for direct measurement of two-dimensional strain distributions within articular cartilage under unconfined compression," J. Biomed. Eng. 24, 557-567 (2002).

K. Jayadevan, R. Narasimhan, T. Ramamurthy, and B. Dattaguru, "A numerical study in dynamically loaded fracture specimens," Int. J. Solids Struct. 38(5), 4987-5005 (2001).

[CrossRef]

A. J. Moore, D. P. Hand, J. S. Barton, and J. D. C. Jones, "Transient deformation measurement with electronic speckle pattern interferometry and a high speed camera," Appl. Opt. 38(7), 1159-1162 (1999).

[CrossRef]

Y. J. Chao, P. F. Luo, and J. F. Kalthoff, "An experimental study of the deformation fields around a propagating crack tip," Exp. Mech. 38(2), 79-85 (1998).

[CrossRef]

M. S. Kirugulige and H. V. Tippur, "Mixed mode dynamic crack growth in functionally graded glass filled epoxy," Exp. Mech. 46, 269-281 (2006).

[CrossRef]

M. S. Kirugulige, R. Kitey, and H. V. Tippur, "Dynamic fracture behavior of model sandwich structures with functionally graded core; a feasibility study," Compos. Sci. Technol. 65, 1052-1068 (2004).

[CrossRef]

M. J. Maleski, M. S. Kirugulige, and H. V. Tippur, "A method for measuring mode-I crack tip constraint under static and dynamic loading conditions," Exp. Mech. 44(5), 522-532 (2004).

[CrossRef]

M. S. Kirugulige, R. Kitey, and H. V. Tippur, "Dynamic fracture behavior of model sandwich structures with functionally graded core; a feasibility study," Compos. Sci. Technol. 65, 1052-1068 (2004).

[CrossRef]

Z. K. Guo and A. S. Kobayashi, "Dynamic mixed mode fracture of concrete," Int. J. Solids Struct. 32(17), 2591-2607 (1995).

[CrossRef]

E. B. Flynn, L. C. Bassman, T. P. Smith, Z. Lalji, L. H. Fullerton, T. C. Leung, S. R. Greefield, and A. C. Koskelo, "Three-wavelength ESPI with the Fourier transform method for simulataneous measurement of microstructure scale deformations in three dimensions," Appl. Opt. 45(14), 3218-3225 (2006).

[CrossRef]
[PubMed]

H. V. Tippur, S. Krishnaswamy, and A. J. Rosakis, "A coherent gradient sensor for crack tip measurements: Analysis and experimental results," Int. J. Fract. 48, 193-204 (1991).

[CrossRef]

E. B. Flynn, L. C. Bassman, T. P. Smith, Z. Lalji, L. H. Fullerton, T. C. Leung, S. R. Greefield, and A. C. Koskelo, "Three-wavelength ESPI with the Fourier transform method for simulataneous measurement of microstructure scale deformations in three dimensions," Appl. Opt. 45(14), 3218-3225 (2006).

[CrossRef]
[PubMed]

E. B. Flynn, L. C. Bassman, T. P. Smith, Z. Lalji, L. H. Fullerton, T. C. Leung, S. R. Greefield, and A. C. Koskelo, "Three-wavelength ESPI with the Fourier transform method for simulataneous measurement of microstructure scale deformations in three dimensions," Appl. Opt. 45(14), 3218-3225 (2006).

[CrossRef]
[PubMed]

E. B. Li, A. K. Tieu, and W. Y. D. Yuen, "Application of digital image correlation technique to dynamic measurement of the velocity filed in the deformation zone in cold rolling," Opt. Lasers Eng. 39, 479-488 (2003).

[CrossRef]

P. F. Lou, Y. J. Chao, M. A. Sutton, and W. H. Peters, "Accurate measurement of three-dimensional deoformations in deformable and rigid bodies using computer vision," Exp. Mech. 33(3), 123-132 (1993).

[CrossRef]

Y. J. Chao, P. F. Luo, and J. F. Kalthoff, "An experimental study of the deformation fields around a propagating crack tip," Exp. Mech. 38(2), 79-85 (1998).

[CrossRef]

M. J. Maleski, M. S. Kirugulige, and H. V. Tippur, "A method for measuring mode-I crack tip constraint under static and dynamic loading conditions," Exp. Mech. 44(5), 522-532 (2004).

[CrossRef]

M. A. Sutton, W. J. Wolters, W. H. Peters, W. F. Ranson, and S. R. McNeil, "Determination of displacements using an improved digital image correlation method," Image Vis. Comput. 1(3), 133-139 (1983).

[CrossRef]

H. A. Bruck, S. R. McNeill, M. A. Sutton, and W. H. Peters, "Digital image correlation using Newton-Raphson method of partial differential correction," Exp. Mech. 29, 261-267 (1989).

[CrossRef]

A. J. Moore, D. P. Hand, J. S. Barton, and J. D. C. Jones, "Transient deformation measurement with electronic speckle pattern interferometry and a high speed camera," Appl. Opt. 38(7), 1159-1162 (1999).

[CrossRef]

K. Jayadevan, R. Narasimhan, T. Ramamurthy, and B. Dattaguru, "A numerical study in dynamically loaded fracture specimens," Int. J. Solids Struct. 38(5), 4987-5005 (2001).

[CrossRef]

T. Nishioka and S. N. Atluri, "Path independent integrals, energy release rates, and general solutions of near-tip fields in mixed-mode dynamic fracture mechanics," Eng. Fract. Mech. 18(1), 1-22 (1983).

[CrossRef]

V. Parameswaran and A. Shukla, "Dynamic fracture of a functionally gradient material having discrete property variation," J. Mater. Sci. 33, 3303-3311 (1998).

[CrossRef]

J. N. Perie, S. Calloch, C. Cluszel, and F. Hild, "Analysis of multiaxial test on a C/C composite by using digital image correlation and a damage model," Exp. Mech. 42(3), 318-328 (2002).

[CrossRef]

P. F. Lou, Y. J. Chao, M. A. Sutton, and W. H. Peters, "Accurate measurement of three-dimensional deoformations in deformable and rigid bodies using computer vision," Exp. Mech. 33(3), 123-132 (1993).

[CrossRef]

H. A. Bruck, S. R. McNeill, M. A. Sutton, and W. H. Peters, "Digital image correlation using Newton-Raphson method of partial differential correction," Exp. Mech. 29, 261-267 (1989).

[CrossRef]

M. A. Sutton, W. J. Wolters, W. H. Peters, W. F. Ranson, and S. R. McNeil, "Determination of displacements using an improved digital image correlation method," Image Vis. Comput. 1(3), 133-139 (1983).

[CrossRef]

W. H. Peters and W. F. Ranson, "Digital image techniques in experimental stress analysis," Opt. Eng. (Bellingham) 21, 427-431 (1982).

K. Jayadevan, R. Narasimhan, T. Ramamurthy, and B. Dattaguru, "A numerical study in dynamically loaded fracture specimens," Int. J. Solids Struct. 38(5), 4987-5005 (2001).

[CrossRef]

M. A. Sutton, W. J. Wolters, W. H. Peters, W. F. Ranson, and S. R. McNeil, "Determination of displacements using an improved digital image correlation method," Image Vis. Comput. 1(3), 133-139 (1983).

[CrossRef]

W. H. Peters and W. F. Ranson, "Digital image techniques in experimental stress analysis," Opt. Eng. (Bellingham) 21, 427-431 (1982).

C. H. Reinsch, "Smoothing by spline functions," Numer. Math. 10, 177-183 (1967).

[CrossRef]

J. W. Dally and W. F. Riley, *Experimental Stress Analysis*, 4th ed., College House Enterprises, LLC (2005).

H. V. Tippur, S. Krishnaswamy, and A. J. Rosakis, "A coherent gradient sensor for crack tip measurements: Analysis and experimental results," Int. J. Fract. 48, 193-204 (1991).

[CrossRef]

R. J. Butcher, C.-E. Rousseau, and H. V. Tippur, "A functionally graded particulate composite: Preparation, measurements and failure analysis," Acta Mater. 47(1), 259-268 (1998).

[CrossRef]

V. Parameswaran and A. Shukla, "Dynamic fracture of a functionally gradient material having discrete property variation," J. Mater. Sci. 33, 3303-3311 (1998).

[CrossRef]

E. B. Flynn, L. C. Bassman, T. P. Smith, Z. Lalji, L. H. Fullerton, T. C. Leung, S. R. Greefield, and A. C. Koskelo, "Three-wavelength ESPI with the Fourier transform method for simulataneous measurement of microstructure scale deformations in three dimensions," Appl. Opt. 45(14), 3218-3225 (2006).

[CrossRef]
[PubMed]

P. F. Lou, Y. J. Chao, M. A. Sutton, and W. H. Peters, "Accurate measurement of three-dimensional deoformations in deformable and rigid bodies using computer vision," Exp. Mech. 33(3), 123-132 (1993).

[CrossRef]

H. A. Bruck, S. R. McNeill, M. A. Sutton, and W. H. Peters, "Digital image correlation using Newton-Raphson method of partial differential correction," Exp. Mech. 29, 261-267 (1989).

[CrossRef]

M. A. Sutton, W. J. Wolters, W. H. Peters, W. F. Ranson, and S. R. McNeil, "Determination of displacements using an improved digital image correlation method," Image Vis. Comput. 1(3), 133-139 (1983).

[CrossRef]

D. J. Chen, F. P. Chiang, Y. S. Tan, and H. S. Don, "Digital speckle-displacement measurement using a complex spectrum method," Appl. Opt. 32(11), 1939-1849 (1993).

[CrossRef]

E. B. Li, A. K. Tieu, and W. Y. D. Yuen, "Application of digital image correlation technique to dynamic measurement of the velocity filed in the deformation zone in cold rolling," Opt. Lasers Eng. 39, 479-488 (2003).

[CrossRef]

M. S. Kirugulige and H. V. Tippur, "Mixed mode dynamic crack growth in functionally graded glass filled epoxy," Exp. Mech. 46, 269-281 (2006).

[CrossRef]

M. S. Kirugulige, R. Kitey, and H. V. Tippur, "Dynamic fracture behavior of model sandwich structures with functionally graded core; a feasibility study," Compos. Sci. Technol. 65, 1052-1068 (2004).

[CrossRef]

M. J. Maleski, M. S. Kirugulige, and H. V. Tippur, "A method for measuring mode-I crack tip constraint under static and dynamic loading conditions," Exp. Mech. 44(5), 522-532 (2004).

[CrossRef]

R. J. Butcher, C.-E. Rousseau, and H. V. Tippur, "A functionally graded particulate composite: Preparation, measurements and failure analysis," Acta Mater. 47(1), 259-268 (1998).

[CrossRef]

H. V. Tippur, "Coherent gradient gensing: a Fourier optics analysis and applications to fracture," Appl. Opt. 31(22), 4429-4439 (1992).

[CrossRef]

H. V. Tippur, S. Krishnaswamy, and A. J. Rosakis, "A coherent gradient sensor for crack tip measurements: Analysis and experimental results," Int. J. Fract. 48, 193-204 (1991).

[CrossRef]

P. Craven and G. Wahba, "Smoothing noisy data with spline functions: Estimating the correct degree of smoothing by the method of generalized cross validation," Numer. Math. 31, 377-405 (1979).

[CrossRef]

C. C. B. Wang, J. M. Deng, G. A. Ateshian, and C. T. Hung, "An automated approach for direct measurement of two-dimensional strain distributions within articular cartilage under unconfined compression," J. Biomed. Eng. 24, 557-567 (2002).

H. M. Westergaard, "Bearing pressure and cracks," J. Appl. Mech. 6, A49-A53 (1939).

M. A. Sutton, W. J. Wolters, W. H. Peters, W. F. Ranson, and S. R. McNeil, "Determination of displacements using an improved digital image correlation method," Image Vis. Comput. 1(3), 133-139 (1983).

[CrossRef]

R. C. Gonzalez, R. E. Woods, and S. L. Eddins, Digital image processing using matlab (Prentice Hall, 2004), 1st edition.

E. B. Li, A. K. Tieu, and W. Y. D. Yuen, "Application of digital image correlation technique to dynamic measurement of the velocity filed in the deformation zone in cold rolling," Opt. Lasers Eng. 39, 479-488 (2003).

[CrossRef]

D. Zhang, C. D. Eggleton, and D. D. Arola, "Evaluating the mechanical behavior of arterial tissue using digital image correlation," Exp. Mech. 42(4), 409-416 (2002).

[CrossRef]

R. J. Butcher, C.-E. Rousseau, and H. V. Tippur, "A functionally graded particulate composite: Preparation, measurements and failure analysis," Acta Mater. 47(1), 259-268 (1998).

[CrossRef]

D. J. Chen, F. P. Chiang, Y. S. Tan, and H. S. Don, "Digital speckle-displacement measurement using a complex spectrum method," Appl. Opt. 32(11), 1939-1849 (1993).

[CrossRef]

E. B. Flynn, L. C. Bassman, T. P. Smith, Z. Lalji, L. H. Fullerton, T. C. Leung, S. R. Greefield, and A. C. Koskelo, "Three-wavelength ESPI with the Fourier transform method for simulataneous measurement of microstructure scale deformations in three dimensions," Appl. Opt. 45(14), 3218-3225 (2006).

[CrossRef]
[PubMed]

T. Fricke-Begemann, "Three dimensional deformation field measurement with digital speckle correlation," Appl. Opt. 42(34), 6783-6795 (2003).

[CrossRef]
[PubMed]

R. Feiel and P. Wilksch, "High resolution laser speckle correlation for displacement and strain measurement," Appl. Opt. 39(1), 54-60 (2000).

[CrossRef]

A. J. Moore, D. P. Hand, J. S. Barton, and J. D. C. Jones, "Transient deformation measurement with electronic speckle pattern interferometry and a high speed camera," Appl. Opt. 38(7), 1159-1162 (1999).

[CrossRef]

G. Pedrini and H. J. Tiziani, "Double pulse electronic speckle interferometry for vibration analysis," Appl. Opt. 33(34), 7857-7863 (1994).

[CrossRef]
[PubMed]

D. E. Duffy, "Moiré gauging of in-plane displacement using double aperture imaging," Appl. Opt. 11(8), 1778-1781 (1972).

[CrossRef]
[PubMed]

R. S. Sirohi, J. Burke, H. Helmers, and K. D. Hinsch, "Spatial phase shifting or pure in-plane displacement and displacement-derivative measurements in ESPI," Appl. Opt. 36(23), 5787-5791 (1997).

[CrossRef]
[PubMed]

J. G. A. de Graaf, "Investigation of brittle fracture in steel by means of ultra high speed photography," Appl. Opt. 3(11), 1223-1229 (1964).

[CrossRef]

H. V. Tippur, "Coherent gradient gensing: a Fourier optics analysis and applications to fracture," Appl. Opt. 31(22), 4429-4439 (1992).

[CrossRef]

M. S. Kirugulige, R. Kitey, and H. V. Tippur, "Dynamic fracture behavior of model sandwich structures with functionally graded core; a feasibility study," Compos. Sci. Technol. 65, 1052-1068 (2004).

[CrossRef]

T. Nishioka and S. N. Atluri, "Path independent integrals, energy release rates, and general solutions of near-tip fields in mixed-mode dynamic fracture mechanics," Eng. Fract. Mech. 18(1), 1-22 (1983).

[CrossRef]

P. F. Lou, Y. J. Chao, M. A. Sutton, and W. H. Peters, "Accurate measurement of three-dimensional deoformations in deformable and rigid bodies using computer vision," Exp. Mech. 33(3), 123-132 (1993).

[CrossRef]

M. J. Maleski, M. S. Kirugulige, and H. V. Tippur, "A method for measuring mode-I crack tip constraint under static and dynamic loading conditions," Exp. Mech. 44(5), 522-532 (2004).

[CrossRef]

J. N. Perie, S. Calloch, C. Cluszel, and F. Hild, "Analysis of multiaxial test on a C/C composite by using digital image correlation and a damage model," Exp. Mech. 42(3), 318-328 (2002).

[CrossRef]

H. A. Bruck, S. R. McNeill, M. A. Sutton, and W. H. Peters, "Digital image correlation using Newton-Raphson method of partial differential correction," Exp. Mech. 29, 261-267 (1989).

[CrossRef]

M. S. Kirugulige and H. V. Tippur, "Mixed mode dynamic crack growth in functionally graded glass filled epoxy," Exp. Mech. 46, 269-281 (2006).

[CrossRef]

D. Zhang, C. D. Eggleton, and D. D. Arola, "Evaluating the mechanical behavior of arterial tissue using digital image correlation," Exp. Mech. 42(4), 409-416 (2002).

[CrossRef]

J. W. Dally, "Dynamic photo-elastic studies of fracture," Exp. Mech. 19(10), 349-361 (1979).

[CrossRef]

Y. J. Chao, P. F. Luo, and J. F. Kalthoff, "An experimental study of the deformation fields around a propagating crack tip," Exp. Mech. 38(2), 79-85 (1998).

[CrossRef]

M. A. Sutton, W. J. Wolters, W. H. Peters, W. F. Ranson, and S. R. McNeil, "Determination of displacements using an improved digital image correlation method," Image Vis. Comput. 1(3), 133-139 (1983).

[CrossRef]

H. V. Tippur, S. Krishnaswamy, and A. J. Rosakis, "A coherent gradient sensor for crack tip measurements: Analysis and experimental results," Int. J. Fract. 48, 193-204 (1991).

[CrossRef]

Z. K. Guo and A. S. Kobayashi, "Dynamic mixed mode fracture of concrete," Int. J. Solids Struct. 32(17), 2591-2607 (1995).

[CrossRef]

K. Jayadevan, R. Narasimhan, T. Ramamurthy, and B. Dattaguru, "A numerical study in dynamically loaded fracture specimens," Int. J. Solids Struct. 38(5), 4987-5005 (2001).

[CrossRef]

H. M. Westergaard, "Bearing pressure and cracks," J. Appl. Mech. 6, A49-A53 (1939).

C. C. B. Wang, J. M. Deng, G. A. Ateshian, and C. T. Hung, "An automated approach for direct measurement of two-dimensional strain distributions within articular cartilage under unconfined compression," J. Biomed. Eng. 24, 557-567 (2002).

C. G. Broyden, "The convergence of a class of double-rank minimization algorithms," J. Inst. Math. Appl. , 76-90 (1970).

[CrossRef]

V. Parameswaran and A. Shukla, "Dynamic fracture of a functionally gradient material having discrete property variation," J. Mater. Sci. 33, 3303-3311 (1998).

[CrossRef]

C. H. Reinsch, "Smoothing by spline functions," Numer. Math. 10, 177-183 (1967).

[CrossRef]

P. Craven and G. Wahba, "Smoothing noisy data with spline functions: Estimating the correct degree of smoothing by the method of generalized cross validation," Numer. Math. 31, 377-405 (1979).

[CrossRef]

W. H. Peters and W. F. Ranson, "Digital image techniques in experimental stress analysis," Opt. Eng. (Bellingham) 21, 427-431 (1982).

E. B. Li, A. K. Tieu, and W. Y. D. Yuen, "Application of digital image correlation technique to dynamic measurement of the velocity filed in the deformation zone in cold rolling," Opt. Lasers Eng. 39, 479-488 (2003).

[CrossRef]

*Proceedings of the 2006 SEM Annual Conference and Exposition on Experimental and Applied Mechanics*, cd-rom, June 4-7, 2006 (Saint Louis, Missouri).

[PubMed]

*Proceedings of the International Society for Optical Engineering*, cd-rom, Vols. 5580 and 6302.

[PubMed]

R. C. Gonzalez, R. E. Woods, and S. L. Eddins, Digital image processing using matlab (Prentice Hall, 2004), 1st edition.

matlab 7.0, The MathWorks, Incorporated, http://www.mathworks.com, 2006.

J. W. Dally and W. F. Riley, *Experimental Stress Analysis*, 4th ed., College House Enterprises, LLC (2005).