Scipediacontent: Scipediacontent moved page Draft Content 740589502 to Sielenkamper et al 2021a

2021-03-11T16:01:46Z

Scipediacontent moved page Draft Content 740589502 to Sielenkamper et al 2021a

Scipediacontent: Created page with "== Abstract == Finite deformation plasticity often involves the multiplicative split of the deformation gradient into an elastic and plastic part. Motivated by observations i..."

2021-03-11T16:01:43Z

Created page with "== Abstract == Finite deformation plasticity often involves the multiplicative split of the deformation gradient into an elastic and plastic part. Motivated by observations i..."

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== Abstract ==

Finite deformation plasticity often involves the multiplicative split of the deformation gradient into an elastic and plastic part. Motivated by observations in physics, the plastic part is assumed to be volume preserving, i.e., the plastic part of the deformation gradient is unimodular. In order to not accumulate errors, in the best case, one fulfills this constraint exactly to obtain accurate results (see, e.g., [3]). While other approaches where pursued as well, many authors therefore adopted the use of the exponential map, which is a geometric integrator preserving the plastic incompressibility. However, it's computation is not straightforward and performing the eigenvalue decomposition and it's linearization for the exponential function is numerically elaborate. Therefore, in this work, a new approach which also exactly preserves the incompressibility constraint is developed. It makes use of a projection of all symmetric tensors onto the manifold of unimodular tensors. The proposed method is compared to models utilizing the exponential map in numerical experiments.

== Full document ==
<pdf>Media:Draft_Content_740589502p2212.pdf</pdf>

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Sielenkamper et al 2021a - Revision history

Scipediacontent: Scipediacontent moved page Draft Content 740589502 to Sielenkamper et al 2021a

Scipediacontent: Created page with "== Abstract == Finite deformation plasticity often involves the multiplicative split of the deformation gradient into an elastic and plastic part. Motivated by observations i..."