Mean‐strain eight‐node hexahedron with optimized energy‐sampling stabilization for large‐strain deformation
Abstract
A method for stabilizing the mean‐strain hexahedron for applications to anisotropic elasticity was described by Krysl (2015). The technique relied on a sampling of the stabilization energy using the mean‐strain quadrature and the full Gaussian integration rule. This combination was shown to guarantee consistency and stability. The stabilization energy was expressed in terms of input parameters of the real material, and the value of the stabilization parameter was fixed in a quasi‐optimal manner by linking the stabilization to the bending behavior of the hexahedral element (Krysl, submitted). Here, the formulation is extended to large‐strain hyperelasticity (as an example, the formulation allows for inelastic behavior to be modeled). The stabilization energy is expressed through a stored‐energy function, and contact with input parameters in the small‐strain regime is made. As for small‐strain elasticity, the stabilization parameter is determined to optimize bending performance. The accuracy and convergence characteristics of the present formulations for both solid and thin‐walled structures (shells) compare favorably with the capabilities of mean‐strain and other high‐performance hexahedral elements described in the open literature and also with a number of successful shell elements. Copyright © 2015 John Wiley & Sons, Ltd.
Document Details
- Document Type
- Pub Defense Publication
- Publication Date
- Apr 30, 2015
- Source ID
- 10.1002/nme.4907
Entities
People
- P. Krysl
Organizations
- Office of Naval Research
- University of California, San Diego