The Saint-Venant Problem for Monoclinic Piezoelectric Cylinders

DOI<link itemprop=identifier href="https://doi.org/10.1002/(SICI)1521-4001(199803)78:3<147::AID-ZAMM147>3.0.CO;2-Z" /><147::AID-ZAMM147>3.0.CO;2-Z 10.1002/(SICI)1521-4001(199803)78:3<147::AID-ZAMM147>3.0.CO;2-ZzbMath0904.73007OpenAlexW2043822866MaRDI QIDQ3843003

Paolo Bisegna

Publication date: 5 November 1998

Full work available at URL: https://doi.org/10.1002/(sici)1521-4001(199803)78:3<147::aid-zamm147>3.0.co;2-z

zbMATH Keywords

well-posednessrelaxed formulationfive fundamental solutionsClebsch-type assumptionsexponential decay of free energytwo-dimensional Dirichlet-type problem

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Saint-Venant's principle (74G50) Electromagnetic effects in solid mechanics (74F15)

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The Saint-Venant problem for general anisotropic piezoelectric cylinders with applications to smart metamaterials design ⋮ Saint-Venant's problem for compound piezoelectric beams ⋮ A semi-analytic meshfree method for Almansi-Michell problems of piezoelectric cylinders ⋮ Mathematical and numerical analysis of an obstacle problem for elastic piezoelectric beams ⋮ Prandtl's formulation for the Saint-Venant's torsion of homogeneous piezoelectric beams ⋮ A variational formulation for the torsional problem of piezoelastic beams ⋮ Spatial behavior and continuous dependence results in the linear dynamic theory of magnetoelectroelasticity ⋮ A frame-independent solution to Saint-Venant's flexure problem ⋮ Pure bending of a piezoelectric layer in second gradient electroelasticity theory ⋮ Saint-Venant torsion of orthotropic piezoelectric elliptical bar

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