Benchmark solution of the dynamic response of a spherical shell at finite strain
- Los Alamos National Lab. (LANL), Los Alamos, NM (United States). Theoretical Division
- Los Alamos National Lab. (LANL), Los Alamos, NM (United States). Computational Physics
Our paper describes the development of high fidelity solutions for the study of homogeneous (elastic and inelastic) spherical shells subject to dynamic loading and undergoing finite deformations. The goal of the activity is to provide high accuracy results that can be used as benchmark solutions for the verification of computational physics codes. Furthermore, the equilibrium equations for the geometrically non-linear problem are solved through mode expansion of the displacement field and the boundary conditions are enforced in a strong form. Time integration is performed through high-order implicit Runge–Kutta schemes. Finally, we evaluate accuracy and convergence of the proposed method by means of numerical examples with finite deformations and material non-linearities and inelasticity.
- Research Organization:
- Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
- Sponsoring Organization:
- USDOE Office of Science (SC). Advanced Scientific Computing Research (ASCR) (SC-21)
- Grant/Contract Number:
- AC52-06NA25396
- OSTI ID:
- 1337111
- Report Number(s):
- LA-UR-16-26353
- Journal Information:
- European Journal of Mechanics. A, Solids, Journal Name: European Journal of Mechanics. A, Solids Journal Issue: C Vol. 61; ISSN 0997-7538
- Country of Publication:
- United States
- Language:
- English
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