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- W44336611 abstract "In this chapter we admit the possibility that deformations can become large during a loading process. In such cases it is necessary to distinguish between the reference configuration where initial shape of the body or bodies to be analyzed is known and the current or deformed configuration after loading is applied. The chapter presents a summary on finite deformation kinematics and various strain measures. This is followed by a description of various stress measures, expressions for equilibrium, and expressions for the boundary and initial conditions. Constitutive behavior is limited to simple hyperelastic behavior derived from a stored energy function. A variational description in the reference and current configurations is described together with all matrix expressions necessary for a finite element solution. Both irreducible and mixed finite element forms are considered. The mixed form is designed to perform well on problems in which near-incompressibility is encountered. This chapter presents a unified approach for all finite deformation problems. The various procedures for solution of the resulting nonlinear algebraic system follow those presented in Chapter 2 and Chapter 3. Although not discussed extensively in the chapter, transient (dynamic) situations are also included." @default.
- W44336611 created "2016-06-24" @default.
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- W44336611 date "2005-01-01" @default.
- W44336611 modified "2023-10-10" @default.
- W44336611 title "Geometrically non-linear problems — finite deformation" @default.
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- W44336611 doi "https://doi.org/10.1016/b978-075066431-8.50192-2" @default.
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