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The Elasticity Problem
The equilibrium problem of continuum mechanics is concerned with the stress field distribution resulting from a given external loading. It is well...
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Stochastic Elasticity A Nondeterministic Approach to the Nonlinear Field Theory
Stochastic elasticity is a fast develo** field that combines nonlinear elasticity and stochastic theories in order to significantly improve model...
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A discrete elasticity complex on three-dimensional Alfeld splits
We construct conforming finite element elasticity complexes on the Alfeld splits of tetrahedra. The complex consists of vector fields and symmetric...
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Antonio Signorini and the proto-history of the non-linear theory of elasticity
Antonio Signorini’s contribution to the constitutive theory of non-linear elasticity is reconstructed and analyzed. Some uninformed opinions...
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Procedure of Continuation of Boundary Conditions in the Problems of Elasticity Theory
To find solutions of two-dimensional problems of the theory of elasticity in domains bounded by two pairs of different coordinate lines, we propose...
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On General Representations of Papkovich–Neuber Solutions in Gradient Elasticity
AbstractIn the article we conside the general model of the gradient theory of elasticity, in which the deformed state energy is determined in...
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A direct method for calculating M-eigenvalues of an elasticity tensor
The strong ellipticity condition (abbr. SE-condition) of the displacement equations of equilibrium for general nonlinearly elastic materials plays an...
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Structural Analysis in the Problems of Gradient Elasticity
AbstractThe article deals with the problems of gradient elasticity from the viewpoint of structural analysis of the solutions. On the basis of...
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Live load matrix recovery from scattering data in linear elasticity
We study the numerical approximation of the inverse scattering problem in the two-dimensional homogeneous isotropic linear elasticity with an unknown...
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Two-Term Spectral Asymptotics in Linear Elasticity
We establish the two-term spectral asymptotics for boundary value problems of linear elasticity on a smooth compact Riemannian manifold of arbitrary...
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Computational algorithms for solving optimal control in linear elasticity
This paper mainly investigates linear elastic optimal control problems with two constraints: distributed load control and boundary load control. The...
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Numerical Solution of the Biot/Elasticity Interface Problem Using Virtual Element Methods
We propose, analyse and implement a virtual element discretisation for an interfacial poroelasticity/elasticity consolidation problem. The...
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An efficient adaptive multigrid method for the elasticity eigenvalue problem
This paper aims to introduce a novel adaptive multigrid method for the elasticity eigenvalue problem. Different from the develo** adaptive...
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Intrinsic Nonlinear Elasticity: An Exterior Calculus Formulation
In this paper, we formulate the theory of nonlinear elasticity in a geometrically intrinsic manner using exterior calculus and bundle-valued...
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Shape optimization for composite materials in linear elasticity
This article is devoted to the optimal design of the microstructure in composite materials, which are governed by the equations of linear elasticity....
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Elasticity Tensor Identification in Elastic Body with Thin Inclusions: Non-coercive Case
In the paper, we analyze problems of elasticity tensor identification for an elastic body with incorporated thin elastic and rigid inclusions in a...
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Topology Optimization in Linear Elasticity, Plasticity and Fracture Mechanics
This chapter presents the theoretical and the numerical study of shape and topology optimization for linear elasticity, plasticity and fracture using...
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Application of Papkovich–Neuber General Solution for Crack Problems in Strain Gradient Elasticity
AbstractIn this paper, we use the Papkovich–Neuber potentials to derive the variant of general solution for the plain problems of strain gradient...
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Finite Element Grad Grad Complexes and Elasticity Complexes on Cuboid Meshes
This paper constructs two conforming finite element grad grad and elasticity complexes on the cuboid meshes. For the finite element grad grad...
