On weak solutions of boundary values problem in the theory of Cosserat porous bodies
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Publication:6121400
DOI10.1002/zamm.202200164MaRDI QIDQ6121400
Holm Altenbach, Ibrahim A. A. Abbas, Marin I. Marin
Publication date: 26 March 2024
Published in: ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik (Search for Journal in Brave)
Sobolev spaceuniquenessregularity conditionelliptic boundary value problemexistence: generalized solution
Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.) (74F10) Uniqueness of solutions of equilibrium problems in solid mechanics (74G30) PDEs in connection with mechanics of deformable solids (35Q74) Existence of solutions of equilibrium problems in solid mechanics (74G22)
Cites Work
- Theory of thin thermoelastic rods made of porous materials
- The Korn-type inequality in a Cosserat model for thin thermoelastic porous rods
- On existence and uniqueness in thermoelasticity of materials with voids
- Foundations of micropolar mechanics
- Linear elastic materials with voids
- A theory of thermoelastic materials with voids
- A nonlinear theory of elastic materials with voids
- Continuous dependence results for initially prestressed thermoelastic bodies
- Structural stability and continuous dependence of solutions of thermoelasticity of type III
- Rayleigh waves in Cosserat elastic materials
- Continuous dependence on initial-time geometry for a thermoelastic system with sign-indefinite elasticities
- On the Cosserat model for thin rods made of thermoelastic materials with voids
- Cellular and porous materials in structures and processes.
- On generalized Cosserat-type theories of plates and shells: a short review and bibliography
- An extension of Dafermos's results for bodies with a dipolar structure
- Continuum theory for mechanical metamaterials with a cubic lattice substructure
- Deformation of porous Cosserat elastic bars
- On the theory of porous elastic rods
- On inequalities of Korn's type. I: Boundary-value problems for elliptic systems of partial differential equations
- A continuum theory for granular materials
- Theory of thermo-microstretch elastic solids
- On the linear theory of micropolar plates
- Microcontinuum Field Theories
- Strain gradient theory of chiral Cosserat thermoelasticity without energy dissipation
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