A softening hyperelastic continuum model is proposed for analysis of brittle fracture. Isotropic material is characterized by two standard parameters—shear and bulk modulus—and an additional parameter of the volumetric separation work. The model can be considered as a volumetric generalization of the concept of the cohesive surface. The meaning of the proposed constitutive equations is clarified by the examples of simple shear and hydrostatic pressure. It is emphasized that the proposed constitutive model includes only smooth functions and the necessary computational techniques are those of nonlinear elasticity.
Nonlinear Elasticity for Modeling Fracture of Isotropic Brittle Solids
Contributed by the Applied Mechanics Division of THE AMERICAN SOCIETY OF MECHANICAL ENGINEERS for publication in the ASME JOURNAL OF APPLIED MECHANICS. Manuscript received by the ASME Applied Mechanics Division, October 21, 2002; final revision, August 18, 2003. Associate Editor: H. Gao.
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Volokh , K. Y. (March 17, 2004). "Nonlinear Elasticity for Modeling Fracture of Isotropic Brittle Solids ." ASME. J. Appl. Mech. January 2004; 71(1): 141–143. https://doi.org/10.1115/1.1636795
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