A mixed-enhanced strain method: Part II: Geometrically nonlinear problems

✍ Scribed by Eric P. Kasper; Robert L. Taylor

• Book ID: 104269231
• Publisher: Elsevier Science
• Year: 2000
• Tongue: English
• Weight: 525 KB
• Volume: 75
• Category: Article
• ISSN: 0045-7949
• DOI: 10.1016/s0045-7949(99)00135-2

✦ Synopsis

In Part 1 of this paper we presented a mixed-enhanced approach to formulating elements for application to geometrically linear problems. In the present work we consider an extension to the geometrically nonlinear case. A mixed deformation gradient is presented and enhancements developed, resulting in a formulation which produces coarse mesh accuracy in bending dominated problems and locking-free response in the near incompressible limit. As in Part 1, variational stress recovery is permissible, due to the mixed ®elds present. Representative simulations illustrate the performance of the formulation in the setting of incompressible hyperelasticity.