Problems of Nonlinear Deformation

Name: Problems of Nonlinear Deformation
Brand: Springer
SKU: 9789401056816
Price: 641.76 PLN
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The Continuation Method Applied to Nonlinear Problems in Solid Mechanics

Autor: E. I. Grigolyuk, V. I. Shalashilin

Język:

Oprawa: Miękka

Wydawca: Springer

Dostępność: Dostępna u dostawcy

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Interest in nonlinear problems in mechanics has been revived and intensified by the capacity of digi...

Informacje o książce

Autor

E. I. Grigolyuk, V. I. Shalashilin

Język

Angielski

Oprawa

Książka - Miękka

Data wydania

2012

strony

262

EAN

9789401056816

ISBN

9401056811

Enbook ID

06948320

Wydawca

Springer

Waga

427

Wymiary

155 x 235 x 16

Pełny opis

Interest in nonlinear problems in mechanics has been revived and intensified by the capacity of digital computers. Consequently, a question offundamental importance is the development of solution procedures which can be applied to a large class of problems. Nonlinear problems with a parameter constitute one such class. An important aspect of these problems is, as a rule, a question of the variation of the solution when the parameter is varied. Hence, the method of continuing the solution with respect to a parameter is a natural and, to a certain degree, universal tool for analysis. This book includes details of practical problems and the results of applying this method to a certain class of nonlinear problems in the field of deformable solid mechanics. In the Introduction, two forms of the method are presented, namely continu ous continuation, based on the integration of a Cauchy problem with respect to a parameter using explicit schemes, and discrete continuation, implementing step wise processes with respect to a parameter with the iterative improvement of the solution at each step. Difficulties which arise in continuing the solution in the neighbourhood of singular points are discussed and the problem of choosing the continuation parameter is formulated.

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Problems of Nonlinear Deformation

The Continuation Method Applied to Nonlinear Problems in Solid Mechanics

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