281 citations · 921 across the 53 of their papers we have counts for
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Vector and matrix monotonicity characterisation of the "load forces" in nonlinear elasticity: compressible versus incompressible response
Jendrik Voss, Ionel-Dumitrel Ghiba, Robert J. Martin +1
In this paper, we study the relation between different notions of monotonicity for isotropic hyperelastic compressible and incompressible materials. We study how to define the mono…
Polyconvexity for Cosserat nonlinear elasticity and nonlinear couple-stress theory
Diana Ciotir, Ionel-Dumitrel Ghiba, Patrizio Neff
We study a class of nonlinear elastic energies whose constitutive structure is naturally expressed in terms of a stretch variable but is not directly covered by the standard polyco…
Monotonicity of isotropic tensor functions on the set of symmetric matrices: completing Rodney Hill's generalization of the Chandler Davis convexity theorem
Jendrik Voss, Robert J. Martin, Ionel-Dumitrel Ghiba +2
Motivated by classical constitutive inequalities in isotropic nonlinear elasticity theory, we investigate the monotonicity of isotropic tensor functions of the form \[ Σ_f\colon\ma…
Polyconvexity implies Hill's inequality in
Ionel-Dumitrel Ghiba, Maximilian P. Wollner, Patrizio Neff
For compressible nonlinear isotropic elasticity it is well known that rank-one convexity, polyconvexity and the monotonicity of the Cauchy stress tensor with respect to the logarit…
Nonlinear Kirchhoff--Love shell models derived from the Ciarlet--Geymonat energy: modelling and existence of minimizers
Ionel-Dumitrel Ghiba, Trung Hieu Giang, Catalina Ureche
Starting from a three-dimensional model based on the Ciarlet--Geymonat energy, we derive nonlinear shell models within the classical elasticity theory of compressible isotropic mat…