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.
8,091 m 28\(^\circ \)35’46"N 83\(^\circ \)49’13"E
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References
Truesdell C, Noll W (2004) The non-linear field theories of mechanics. Springer, Berlin
Abeyaratne R, Knowles JK (1990) On the driving traction acting on a surface of strain discontinuity in a continuum. J Mech Phys Solids 38:345–360
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Steinmann, P. (2022). Kinematics at Singular Sets. In: Spatial and Material Forces in Nonlinear Continuum Mechanics. Solid Mechanics and Its Applications, vol 272. Springer, Cham. https://doi.org/10.1007/978-3-030-89070-4_4
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DOI: https://doi.org/10.1007/978-3-030-89070-4_4
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Publisher Name: Springer, Cham
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Online ISBN: 978-3-030-89070-4
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