Shell-type constitutive equations
In this chapter we assume that the constitutive equation for a 3D body is given and we derive various forms of constitutive equation for shells. The elastic materials, compressible and incompressible, are considered. The shell-type constitutive equations are discussed as follows: for the 3D shells in Sect. 7.1, while for the shells for which the normal strain is recovered in Sect. 7.2. The correction factors for the transverse shear are derived in Sect. 7.3.
KeywordsConstitutive Equation Normal Strain Transverse Shear Incompressible Material Principal Stretch
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