Abstract
In this chapter we introduce the main concepts of kinematics of continua. These concepts are universal and they do not depend on the choice of specific materials.
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Notes
- 1.
We capitalize the first character in differential operators: “\(\mathrm {Grad}\)”, “\(\mathrm {Div}\)”, “\(\mathrm {Curl}\)”, when differentiation is with respect to \(\mathbf {x}\). The operators are written as usual: “\(\mathrm {grad}\)”, “\(\mathrm {div}\)”, “\(\mathrm {curl}\)”, when differentiation is with respect to \(\mathbf {y}\).
References
Marsden JE, Hughes TJR (1983) Mathematical foundations of elasticity. Prentice-Hall, Englewood Cliffs
Ogden RW (1997) Non-linear elastic deformations. Dover, Illinois
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Volokh, K. (2019). Kinematics. In: Mechanics of Soft Materials. Springer, Singapore. https://doi.org/10.1007/978-981-13-8371-7_2
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DOI: https://doi.org/10.1007/978-981-13-8371-7_2
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