Constitutive laws for nonlinear elastic bodies
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Two groups of quantities were introduced for consideration in Chapters 1 and 2. The first group determines the stress tensor and serves to describe the state of stress due to the external mass and surface forces, whilst the quantities of the second group (the strain measures and the strain tensors) describe the change in the geometry of the objects (line, surface, volume) under deformation of the medium. No assumption about the relationships between the quantities of these groups, that is the constitutive laws, have been made. For this reason, the previous analysis is applicable to any medium. However it is not sufficient for describing the behaviour of a particular medium.
KeywordsStress Tensor Linear Theory Strain Tensor Elastic Body Incompressible Material
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