Two-Dimensional General Solutions and Fundamental Solutions for Orthotropic Thermoelastic Materials, Piezothermoelastic Materials and Electro-magneto-thermo-elastic Materials with Applications;

The theories of thermopiezoelectricity and magnetoelasticty for microplar continua have been systemetically developed by W.

Based upon piezothermoelastic material governing equations, the homogeneous state equation for the mechanical, electric, thermal coupling problem of piezothermoelastic materials is derived by means of reforming the constitutive equations of piezothermoelastic materials as well as combining the piezothermoelastic material thermal equilibrium equations.

The research on classical problems for thermoelastic、piezothermoelastic and magneto-electro-thermo-elastic structures not only can provide the analytical solution for engineering applications but also acts as the necessary benchmarks for various approximate theories and calculation methods.

The research on axisymmetric classical problems for thermoelastic and piezothermoelastic structures not only can provide the analytical solution for engineering applications but also acts as the necessary benchmarks for various theories of thin plates and calculation methods.

To apply finite element methods in the numerical calculation of basic equations of finite deformation thermopiezoelectric elastodynamics, it is first necessary that relevant regionwise variational principles and regionwise generalized variational principles are set up.

The variation of new Gurtin_type region_wise variational principles results in continuous conditions, boundary conditions, all equations and relations in linear thermopiezoelectric elastodynamics.