科研之友
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摘要
Typical models of membrane-like structures use a Lagrangian formulation of a hyperelastic membrane with a specified reference configuration. Here, an Eulerian formulation is proposed for modeling elastically isotropic, elastic-viscoplastic membranes. The membrane is modeled as a composite of an elastic and an inelastic component with evolution equations for elastic deformation tensors for each component. The model includes hyperelastic response as a special case and has a smooth elastic-inelastic transition capable of modeling both rate-independent and rate-dependent inelastic response. Strongly objective numerical algorithms are developed for integrating the proposed evolution equations. Also, an example of an initially flat circular membrane loaded by a follower pressure is considered to examine: rate-independent elastic and elastic-plastic responses, as well as rate-dependent inelastic relaxation effects.
- 出版日期2016-5
