Abstract
In this chapter we discuss the role of tensors in explaining some kinematic aspects of continuum mechanics that deal with changes of the position and the shape of the material. The changes may include translation, rotation and deformation. Materials subjected to stresses experience deformation termed strain. As seen in previous chapter, there is a direct relationship between the stress and the deformation through the constitutive equation of material. This chapter provides the tools required for understanding the strain relation and its mathematical formulation.
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Notes
- 1.
Actually, during the deformation process the Cartesian configuration generally changes to a curvilinear configuration. This subject is treated in Chap. 6.
References
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Schobeiri, M.T. (2021). Tensors and Kinematics. In: Tensor Analysis for Engineers and Physicists - With Application to Continuum Mechanics, Turbulence, and Einstein’s Special and General Theory of Relativity . Springer, Cham. https://doi.org/10.1007/978-3-030-35736-8_4
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DOI: https://doi.org/10.1007/978-3-030-35736-8_4
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