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2022 | OriginalPaper | Chapter

4. Kinematics at Singular Sets

Author : Paul Steinmann

Published in: Spatial and Material Forces in Nonlinear Continuum Mechanics

Publisher: Springer International Publishing

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Abstract

This chapter revisits the relevant continuum kinematics at singular sets, i.e. at singular surfaces and at singular curves and points, thereby elaborating on the jumps in the nonlinear deformation maps and their associated tangent, cotangent, and measure maps.

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previous chapter Kinematics on Dimensionally Reduced Smooth Manifolds
next chapter Generic Balances
Literature
1.
Truesdell C, Noll W (2004) The non-linear field theories of mechanics. Springer, BerlinCrossRef
2.
Abeyaratne R, Knowles JK (1990) On the driving traction acting on a surface of strain discontinuity in a continuum. J Mech Phys Solids 38:345–360MathSciNetCrossRef
Metadata
Title
Kinematics at Singular Sets
Author
Paul Steinmann
Copyright Year
2022
Book
Spatial and Material Forces in Nonlinear Continuum Mechanics

Print ISBN: 978-3-030-89069-8

Electronic ISBN: 978-3-030-89070-4

Copyright Year: 2022

DOI
https://doi.org/10.1007/978-3-030-89070-4_4

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