Nonlinear Elasticity for Modeling Fracture of Isotropic Brittle Solids

[+] Author and Article Information
K. Y. Volokh

Faculty of Civil and Environmental Engineering, Technion, Haifa 32000, Israel

J. Appl. Mech 71(1), 141-143 (Mar 17, 2004) (3 pages) doi:10.1115/1.1636795 History: Received October 21, 2002; Revised August 18, 2003; Online March 17, 2004
Copyright © 2004 by ASME
Your Session has timed out. Please sign back in to continue.


Barenblatt,  G. I., 1959, “The Formation of Equilibrium Cracks During Brittle Fracture—General Ideas and Hypotheses. Axially Symmetric Cracks,” J. Appl. Math. Mech., 23, pp. 622–636.
Rice,  J. R., and Wang,  J. S., 1989, “Embrittlement of Interfaces by Solute Segregation,” Mater. Sci. Eng., A, 107, pp. 23–40.
Tvergaard,  V., and Hutchinson,  J. W., 1992, “The Relation Between Crack Growth Resistance and Fracture Process Parameters in Elastic-Plastic Solids,” J. Mech. Phys. Solids, 40, pp. 1377–1397.
Xu,  X. P., and Needleman,  A., 1994, “Numerical Simulations of Fast Crack Growth in Brittle Solids,” J. Mech. Phys. Solids, 42, pp. 1397–1434.
Needleman,  A., 1987, “A Continuum Model for Void Nucleation by Inclusion Debonding,” ASME J. Appl. Mech., 54, pp. 525–531.
de Borst,  R., 2001, “Some Recent Issues in Computational Failure Mechanics,” Int. J. Numer. Methods Eng., 52, pp. 63–95.
Belytschko,  T., Moes,  N., Usiu,  S., and Parimi,  C., 2001, “Arbitrary Discontinuities in Finite Elements,” Int. J. Numer. Methods Eng., 50, pp. 993–1013.
Gao,  H., and Klein,  P., 1998, “Numerical Simulation of Crack Growth in an Isotropic Solid With Randomized Internal Cohesive Bonds,” J. Mech. Phys. Solids, 46, pp. 187–218.
Bazant, Z. P., and Planas, J., 1998, Fracture and Size Effect of Concrete and Other Quasibrittle Materials, CRC Press, Boca Raton, FL.
Gao,  H., and Ji,  B., 2003, “Modeling Fracture of Nanomaterials via a Virtual Internal Bond Method,” Eng. Fract. Mech., 70, pp. 1777–1791.
de Borst, R., and van der Giessen, E., 1998, Material Instabilities in Solids, John Wiley and Sons, Chichister, UK.
Hutchinson,  J. W., 2000, “Plasticity at the Micron Scale,” Int. J. Solids Struct., 37, pp. 225–238.
Crisfield, M. A., 1991, 1997, Non-linear Finite Element Analysis of Solids and Structures, Vols. 1, 2, John Wiley and Sons, Chichester, UK.
Riks,  E., 1998, “Buckling Analysis of Elastic Structures: A Computational Approach,” Adv. Appl. Mech., 34, pp. 1–76.
Belytschko, T., Liu, W. K., and Moran, B., 2000, Nonlinear Finite Elements for Continua and Structures, John Wiley and Sons, New York.


Grahic Jump Location
Simple shear. Normalized traction (vertical axis) versus shear deformation (horizontal axis) as defined by Eq. (3.7).
Grahic Jump Location
Hydrostatic pressure. Normalized pressure (vertical axis) versus volumetric deformation (horizontal axis) as defined by Eq. (4.3).



Some tools below are only available to our subscribers or users with an online account.

Related Content

Customize your page view by dragging and repositioning the boxes below.

Related Journal Articles
Related eBook Content
Topic Collections

Sorry! You do not have access to this content. For assistance or to subscribe, please contact us:

  • TELEPHONE: 1-800-843-2763 (Toll-free in the USA)
  • EMAIL: asmedigitalcollection@asme.org
Sign In