Geometrically non-linear problems — finite deformation

摘要: In this chapter we admit the possibility that deformations can become large during a loading process. such cases it is necessary to distinguish between reference configuration where initial shape of body or bodies be analyzed known and current deformed after applied. The presents summary on finite deformation kinematics various strain measures. This followed by description stress measures, expressions for equilibrium, boundary conditions. Constitutive behavior limited simple hyperelastic derived from stored energy function. A variational in configurations described together with all matrix element solution. Both irreducible mixed forms are considered. form designed perform well problems which near-incompressibility encountered. unified approach problems. procedures solution resulting nonlinear algebraic system follow those presented Chapter 2 3. Although not discussed extensively chapter, transient (dynamic) situations also included.