Modified H-R mixed variational principle for magnetoelectroelastic bodies and state-vector equation

DOI10.1007/BF02465422zbMath1144.74325MaRDI QIDQ939931

Yan-Hong Liu, Jia-Jun Qiu, Guang-hui Qing

Publication date: 1 September 2008

Published in: Applied Mathematics and Mechanics. (English Edition) (Search for Journal in Brave)

zbMATH Keywords

variational principlelaminated platessemi-analytical solutionmagnetoelectroelastic bodystate-vector equation

Mathematics Subject Classification ID

Plates (74K20) Energy minimization in equilibrium problems in solid mechanics (74G65) Electromagnetic effects in solid mechanics (74F15) Elastic materials (74B99) Variational principles of physics (49S05)

Related Items (6)

Generalized variational principles for boundary value problem of electromagnetic field in electrodynamics ⋮ Variation principle of piezothermoelastic bodies, canonical equation and homogeneous equation ⋮ State-vector equation with damping and vibration analysis of laminates ⋮ On the fundamental equations of electromagnetoelastic media in variational form with an application to shell/laminae equations ⋮ Highly accurate symplectic element based on two variational principles ⋮ Modeling vibration behavior of delaminated composite laminates using meshfree method in Hamilton system

Cites Work

• Fundamental solutions for transversely isotopic magnetoelectro-elastic media and boundary integral formulation
• Hamiltonian system and symplectic geometry in mechanics of materials. III: Flexure and free vibration of plates
• State vector approach to analysis of multilayered magneto-electro-elastic plates.
• General solution for the coupled equations of transversely isotropic magnetoelectroelastic solids
• Exact Solution for Simply Supported and Multilayered Magneto-Electro-Elastic Plates
• Modified Mixed Variational Principle and the State-Vector Equation for Elastic Bodies and Shells of Revolution
• On a Variational Theorem in Elasticity

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