Anti-Plane Shear Deformations in Linear and Nonlinear Solid Mechanics

摘要: The intent of this expository paper is to draw the attention applied mathematics community an interesting two-dimensional mathematical model arising in solid mechanics involving a single second-order linear or quasi-linear partial differential equation. This has virtue relative simplicity without loss essential physical relevance. Anti-plane shear deformations are one simplest classes that solids can undergo. In anti-plane (or longitudinal shear, generalized shear) cylindrical body, displacement parallel generators cylinder and independent axial coordinate. Thus with just scalar field, may be viewed as complementary more complicated (yet perhaps familiar) plane strain deformation, its two in-plane displacements. recent years, considerable been paid analysis within context variou...