Abstract
Displacements with respect to a reference coordinate system may be physically observed, calculated, or measured for a deformed elastic body. Each displacement may be considered to have two components, one of which is due to relative movements or distortions within the body and the other which is uniform throughout the body, the so-called rigid body motion. The relationships between the displacements and the corresponding distortions are known as the kinematic or the strain–displacement equations of the theory of elasticity and may take several forms, depending on the expected magnitude of the distortions and displacements. Using vector mechanics, the kinematic relations are derived in a general form and then reduced to linear equations. Also nonlinear strain-displacement considerations are introduced. These relationships are important in contemporary fields such as biomechanics.
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Gould, P.L. (2013). Deformations. In: Introduction to Linear Elasticity. Springer, New York, NY. https://doi.org/10.1007/978-1-4614-4833-4_3
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DOI: https://doi.org/10.1007/978-1-4614-4833-4_3
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