Three-Dimensional General Solution For Fully Coupled Electro-magneto-thermo-elastic Multiphase Composites With Application

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. For this object, A series of classical problems for thermoelastic,piezothermoelastic and magneto-electro-thermo-elastic structures under coupled loadings are studied in this thesis and the corresponding coupled field are obtained.For thermoelastic stucture, the general solution of transversely isotropic thermoelastic materials, which is expressed in harmonic functions, are rewritten into a non-dimensional form. Based on the non-dimensional general solution, the coupled field in cones under various loads can be obtained by virtue of several constructed harmonic functions. These solutions all can be degenerated to the semi-infinite body problem. At last, the numerical results of coupled fields in cone are presented in details.For piezothermoelasticity, the general solution of transversely isotropic piezothermoelastic materials, which is expressed in harmonic functions, are rewritten into a non-dimensional form. Based on the non-dimensional general solution, the coupled field in cones under various loads can be obtained by virtue of several constructed harmonic functions. This solution can be degenerated to the semi-infinite body problem. At last, the numerical results of coupled fields in cone are presented in details.For magneto-electro-thermo-elastic structure, the general solution of transversely isotropic piezothermoelastic materials, which is expressed in harmonic functions, are rewritten into a non-dimensional form. Based on the non-dimensional general solution, the coupled field in simply-supported circular plates and cones under various loads can be obtained by virtue of several constructed harmonic functions. These solutions about plate can be degenerated to the corresponding ones of solid circular plate, while the solutions of cone can be degenerated to the semi-infinite body problem. At last, the numerical results of coupled fields in cone are presented in details.