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

2019/04/09 by Kai Graban, Eva Schweickert, Graban, Kai +5 · 3 citations
Engineering · #Analysis of PDEs (math.AP) #Composite Material Mechanics #Composite Structure Analysis and Optimization #Elasticity and Material Modeling #FOS: Mathematics #History and Overview (math.HO)

paper · pdf · doi:10.48550/arxiv.1904.05164

openalex publication_date 2019/04/09 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

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

Citations

• The axiomatic deduction of the quadratic Hencky strain energy by Heinrich Hencky

Cited by

• Hyperelastic stability landscape: A check for HILL stability of isotropic, incompressible hyperelasticity depending on material parameters
• In search of constitutive conditions in isotropic hyperelasticity: polyconvexity versus true-stress-true-strain monotonicity
• Constitutive properties for isotropic energies in ideal nonlinear elasticity for solid materials: numerical evidences for invertibility and monotonicity in different stress-strain pairs

Related

• The axiomatic introduction of arbitrary strain tensors by Hans Richter -- a commented translation of "Strain tensor, strain deviator and stress tensor for finite deformations"
• The Relativistic Elasticity of Rigid Bodies
• The axiomatic deduction of the quadratic Hencky strain energy by Heinrich Hencky
• Elastic Energy Decomposition and Limit Criteria
• Felix Klein's "Über die Differentialgesetze für die Erhaltung von Impuls und Energie in der Einsteinschen Gravitationstheorie": an English translation