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Title: Benchmark solution of the dynamic response of a spherical shell at finite strain

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.
Authors:
ORCiD logo [1] ;  [2]
  1. Los Alamos National Lab. (LANL), Los Alamos, NM (United States). Theoretical Division
  2. Los Alamos National Lab. (LANL), Los Alamos, NM (United States). Computational Physics
Publication Date:
Report Number(s):
LA-UR-16-26353
Journal ID: ISSN 0997-7538
Grant/Contract Number:
AC52-06NA25396
Type:
Accepted Manuscript
Journal Name:
European Journal of Mechanics. A, Solids
Additional Journal Information:
Journal Volume: 61; Journal Issue: C; Journal ID: ISSN 0997-7538
Research Org:
Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
Sponsoring Org:
USDOE Office of Science (SC). Advanced Scientific Computing Research (ASCR) (SC-21)
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; Spherical shell; Dynamic analysis; Total Lagrangian; Finite strain; Implicit Runge–Kutta
OSTI Identifier:
1337111

Versino, Daniele, and Brock, Jerry S. Benchmark solution of the dynamic response of a spherical shell at finite strain. United States: N. p., Web. doi:10.1016/j.euromechsol.2016.09.012.
Versino, Daniele, & Brock, Jerry S. Benchmark solution of the dynamic response of a spherical shell at finite strain. United States. doi:10.1016/j.euromechsol.2016.09.012.
Versino, Daniele, and Brock, Jerry S. 2016. "Benchmark solution of the dynamic response of a spherical shell at finite strain". United States. doi:10.1016/j.euromechsol.2016.09.012. https://www.osti.gov/servlets/purl/1337111.
@article{osti_1337111,
title = {Benchmark solution of the dynamic response of a spherical shell at finite strain},
author = {Versino, Daniele and Brock, Jerry S.},
abstractNote = {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.},
doi = {10.1016/j.euromechsol.2016.09.012},
journal = {European Journal of Mechanics. A, Solids},
number = C,
volume = 61,
place = {United States},
year = {2016},
month = {9}
}