Singular Solutions in Plasticity [electronic resource] /
By: Alexandrov, Sergei [author.].
Contributor(s): SpringerLink (Online service).
Series: SpringerBriefs in Continuum Mechanics: Publisher: Singapore : Springer Singapore : Imprint: Springer, 2018Edition: 1st ed. 2018.Description: XI, 107 p. 40 illus.Content type: text Media type: computer Carrier type: online resourceISBN: 9789811052279.Subject(s): Mechanics | Mechanics, Applied | Materials science | Solid Mechanics | Characterization and Evaluation of MaterialsDDC classification: 531 Online resources: Click here to access eBook in Springer Nature platform. (Within Campus only.)Introduction -- Rigid perfectly plastic material -- Rigid viscoplastic material -- Double shearing model -- Concluding Remarks.
This book deals with singular solutions that appear in the vicinity of maximum friction surfaces for several rigid plastic models. In particular, it discusses precise asymptotic expansions as a necessary ingredient for the development of efficient numerical methods to solve boundary value problems that involve the maximum friction law as a boundary condition. An applied aspect of the singular solutions considered is that these solutions are capable of predicting the development of narrow hard layers near frictional interfaces in manufacturing processes.
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