Bifurcations in elastic-damaging materials
- Sandia National Labs., Albuquerque, NM (United States)
- New Mexico Univ., Albuquerque, NM (United States). Dept. of Mechanical Engineering
Continuum damage theories describe the progressive reduction in stiffness and strength of brittle materials resulting from the initiation and growth of microcracks and microvoids. When brittle materials are loaded into the nonlinear regime, they often exhibit localized zones of intense deformation and the eventual formation of macrocracks. Criteria for diffuse and discontinuous bifurcations have previously been developed and used to study the initiation of necking and localization in elastic-plastic materials. In this investigation, the same bifurcation criteria are applied to continuum damage theories. Since the bifurcation criteria depend on the fourth-order tangent modulus tensor, the first step in this investigation is the derivation of the tangent modulus tensor for a general continuum damage theory. An eigenanalysis of the symmetric part of the tangent modulus tensor is then shown to fully characterize the potential diffuse and discontinuous bifurcations associated with a given continuum damage theory.
- Research Organization:
- Sandia National Labs., Albuquerque, NM (United States); New Mexico Univ., Albuquerque, NM (United States). Dept. of Mechanical Engineering
- Sponsoring Organization:
- DOE; USDOE, Washington, DC (United States)
- DOE Contract Number:
- AC04-76DP00789
- OSTI ID:
- 7274133
- Report Number(s):
- SAND-92-1571C; CONF-921110--13; ON: DE92018818
- Country of Publication:
- United States
- Language:
- English
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Related Subjects
75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
BOUNDARY CONDITIONS
BRITTLENESS
COMPUTERIZED SIMULATION
CRACK PROPAGATION
CRACKS
DAMAGE
DEFORMATION
ELASTICITY
MATERIALS
MECHANICAL PROPERTIES
SIMULATION
STRAINS
STRESSES
TENSILE PROPERTIES
TENSORS
VOIDS