Overview about solution representations for elasticity problems and some selected particular solutions

Solution representations for elasticity problems are presented in this over view article. The types of problems covered are (i) plane strain/stress for isotropic and anisotropic materials, (ii) plate bending for isotropic and anisotropic thin plates, (iii) three-dimensional plate analysis, and (iv) t hree-dimensional elasticity problems. The solution contributions are decomp osed into homogeneous and particular solutions. All homogeneous solution re presentations involve arbitrary complex valued functions. Choosing differen t types of complex functions, it becomes possible to construct easily infin ite sets of functions satisfying the governing differential equations. The solution representations are very useful for (i) solving problems analytica lly, (ii) analyzing a local solution behavior (as, for example, near comets , cracks, or holes), and (iii) for application in numerical methods.