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Weak solutions in elasticity of dipolar porous materials. (English) Zbl 1149.74009

Summary: We use some general results from the theory of elliptic equations in order to prove existence and uniqueness of generalized solutions for boundary value problems in elasticity of initially stressed bodies with voids (porous materials).

MSC:

74A35 Polar materials
74B10 Linear elasticity with initial stresses
74F10 Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.)
74G25 Global existence of solutions for equilibrium problems in solid mechanics (MSC2010)
74G30 Uniqueness of solutions of equilibrium problems in solid mechanics
35Q72 Other PDE from mechanics (MSC2000)
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References:

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