Uniqueness and reciprocity in the boundary-initial value problem for a mixture of two elastic solids occupying an unbounded domain

DOI10.1007/BF01176767zbMath0514.73005OpenAlexW2084267482MaRDI QIDQ1051465

Maria Christina Patria, Alessandra Borrelli

Publication date: 1983

Published in: Acta Mechanica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01176767

zbMATH Keywords

unbounded domainsreciprocity theoremboundary-initial value problemdisplacement problemabsence of artificial restrictions upon behaviour of unknown fields at infinitymixture of two linear elastic solids

Mathematics Subject Classification ID

Anisotropy in solid mechanics (74E10) Dynamical problems in solid mechanics (74H99) Uniqueness of solutions of dynamical problems in solid mechanics (74H25) Uniqueness of solutions of equilibrium problems in solid mechanics (74G30) Elastic materials (74B99)

Related Items (5)

Plane waves and uniqueness theorems in the theory of viscoelastic mixtures ⋮ Energy bounds for a mixture of two linear elastic solids occupying a semi-infinite cylinder ⋮ Uniqueness theorems in the theory of thermoelasticity for solids with double porosity ⋮ The Galerkin vector solution for a mixture of two elastic solids and Boussinesq problem ⋮ Uniqueness in the boundary-value problems for the static equilibrium equations of a mixture of two elastic solids occupying an unbounded domain

Cites Work

• Unnamed Item
• Theorems in linear elastostatics for exterior domains
• A variational theorem in the linear theory of mixtures of two elastic solids. The quasi-static case
• Growth and instability theorems for wave equations with dissipation, with applications in contemporary continuum mechanics
• Some theorems in classical elastodynamics
• Uniqueness in the linear theory of a mixture of two elastic solids
• CONTINUUM THEORIES OF MIXTURES: BASIC THEORY AND HISTORICAL DEVELOPMENT
• ON THERMODYNAMICS AND THE NATURE OF THE SECOND LAW FOR MIXTURES OF INTERACTING CONTINUA
• APPLICATIONS OF A THEORY OF INTERACTING CONTINUA
• Uniqueness theorems for linearized theories of interacting continua
• Wave Equations with Weak Damping
• Some results in the linear dynamical theory of anisotropic elastic solids

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