A Critical Revisiting of Finite Elasto-Plasticity
نویسندگان
چکیده
منابع مشابه
A Critical Revisiting of Finite Elasto-Plasticity
We propose a new evolution model for large strain elastoplasticity. In a quasi-static setting the suggested model can be formulated as a variational evolution. We establish existence of a closely related evolution in a regularized context. We then discuss how the proposed model performs in both a rigid-plastic, and a one-dimensional settings and compare the results with those that could be achi...
متن کاملExistence of Minimizers in Incremental Elasto-Plasticity with Finite Strains
We consider elasto-plastic deformations of a body which is subjected to a time-dependent loading. The model includes fully nonlinear elasticity as well as the multiplicative split of the deformation gradient into an elastic part and a plastic part. Using the energetic formulation for this rate-independent process we derive a time-incremental problem, which is a minimization problem with respect...
متن کاملA comparison of mapping algorithms for hierarchical adaptive FEM in finite elasto-plasticity
The aim of this contribution is a comparison of different mapping techniques usually applied in the field of hierarchical adaptive FE-codes. The calculation of mechanical field variables for the modified mesh is an important but sensitive aspect of adaptation approaches of the spatial discretization. Regarding non-linear boundary value problems procedures of mesh refinement and coarsening imply...
متن کاملA posteriori error estimation and mesh adaptation for finite element models in elasto-plasticity
A new approach to a posteriori error estimation and adaptive mesh design based on techniques from optimal control is presented for primal-mixed finite element models in elasto-plasticity. This method uses global duality arguments for deriving weighted a posteriori error bounds for arbitrary functionals of the error representing physical quantities of interest. In these estimates local residuals...
متن کاملElasto-plasticity in wrinkled polymerized lipid membranes
Biomembranes shown to behave like elastic sheets, can also suffer plastic deformations. Neutron scattering experiments on partially polymerised wrinkled membranes revealed that when a critical degree of polymerisation is crossed, the wrinkled membranes do not resume their spherical shapes. Instead they remain wrinkled and rigid while their non-polymerised counterparts resume their spherical flo...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: SIAM Journal on Mathematical Analysis
سال: 2015
ISSN: 0036-1410,1095-7154
DOI: 10.1137/140965090