Antiplane Shear Deformation of Elastic Cylinders in Contact with a Rigid Foundation

Authors :: Csaba Varga
Nicuşor Costea
Alexandru Kristály
Source :: Variational and Monotonicity Methods in Nonsmooth Analysis ISBN: 9783030816704
Publication Year :: 2021
Publisher :: Springer International Publishing, 2021.
Abstract: We analyze the antiplane shear deformation of an elastic cylinder in frictional contact with a rigid foundation, for static processes, under the small deformations hypothesis. Using the KKM lemma due to Fan (see Corollary D.1), we prove that the model has at least one weak solution. Moreover, we present several examples of constitutive laws and friction laws for which our theoretical results are valid.

Subjects :: Physics
Lemma (mathematics)
Corollary
Weak solution
Foundation (engineering)
Mechanics
Deformation (engineering)
Antiplane shear
Elastic cylinder

ISBN :: 978-3-030-81670-4
ISBNs :: 9783030816704
Database :: OpenAIRE
Journal :: Variational and Monotonicity Methods in Nonsmooth Analysis ISBN: 9783030816704
Accession number :: edsair.doi...........0c08e5b845325f7e16bc8cc901d0e7f6
Full Text :: https://doi.org/10.1007/978-3-030-81671-1_11

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