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20132026
most citedPolyconvex anisotropic hyperelasticity with neural networks

238 citations · 611 across the 32 of their papers we have counts for

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Showing 2019Show all

5 papers · 1 filter

math.AP2019★ 1 cited

Refined dimensional reduction for isotropic elastic Cosserat shells with initial curvature

Mircea Birsan, Ionel-Dumitrel Ghiba, Robert J. Martin +1

Using a geometrically motivated 8-parameter ansatz through the thickness, we reduce a three-dimensional shell-like geometrically nonlinear Cosserat material to a fully two-dimensio…

math.HO2019

The axiomatic introduction of arbitrary strain tensors by Hans Richter -- a commented translation of "Strain tensor, strain deviator and stress tensor for finite deformations"

Patrizio Neff, Kai Graban, Eva Schweickert +1

We provide a faithful translation of Hans Richter's important 1949 paper "Verzerrungstensor, Verzerrungsdeviator und Spannungstensor bei endlichen Formänderungen" from its original…

math.HO2019

A commented translation of Hans Richter's early work "The isotropic law of elasticity"

Kai Graban, Eva Schweickert, Robert J. Martin +1

We provide a faithful translation of Hans Richter's important 1948 paper "Das isotrope Elastizitätsgesetz" from its original German version into English. Our introduction summarize…

math.AP2019★ 9 cited

A note on non-homogeneous deformations with homogeneous Cauchy stress for a strictly rank-one convex energy in isotropic hyperelasticity

Eva Schweickert, L. Angela Mihai, Robert J. Martin +1

It has recently been shown that for a Cauchy stress response induced by a strictly rank-one convex hyperelastic energy potential, a homogeneous Cauchy stress tensor field cannot co…

math.AP2019

Quasiconvex relaxation of isotropic functions in incompressible planar hyperelasticity

Robert J. Martin, Jendrik Voss, Ionel-Dumitrel Ghiba +1

In this note, we provide an explicit formula for computing the quasiconvex envelope of any real-valued function with f…