Dynamic relaxation applied to the quasi-static, large deformation, inelastic response of axisymmetric solids
The use of dynamic relaxation as a solution strategy for the quasi-static, large deformation, inelastic response of solids is examined. The underlying mechanics, the constitutive theories of interest, the incremental form of the equations, the spatial discretization, and the implementation of dynamic relaxation for path and/or time dependent material response are each discussed. The mechanics are carried out in the current configuration of the body described by a fixed spatial coordinate system and using the Cauchy stress. Finite strain constitutive theories for elastic, elastoplastic, and creep behavior are introduced. An incremental form of the problem allowing a sequence of equilibrium solutions to be found is presented. A constant bulk strain, bilinear displacement isoparametric quadrilateral finite element is employed for the spatial discretization. The solution strategy used to generate the sequence of equilibrium solutions is dynamic relaxation which in the form adopted is based on explicit central difference pseudo-time integration and artificial damping. It is used to find the next solution as a result of an increment in time and/or load. Each solution must satisfy equilibrium to within a prescribed tolerance before proceeding to the next increment. Several example calculations are presented.
- Research Organization:
- Sandia National Labs., Albuquerque, NM (USA)
- DOE Contract Number:
- AC04-76DP00789
- OSTI ID:
- 7036092
- Report Number(s):
- SAND-80-1605C; CONF-800781-1
- Country of Publication:
- United States
- Language:
- English
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