Numerical Methods for Strong Nonlinearities in Mechanics

Numerical Methods for Strong Nonlinearities in Mechanics
Author :
Publisher : John Wiley & Sons
Total Pages : 388
Release :
ISBN-10 : 9781789450811
ISBN-13 : 1789450810
Rating : 4/5 (11 Downloads)

Book Synopsis Numerical Methods for Strong Nonlinearities in Mechanics by : Jacques Besson

Download or read book Numerical Methods for Strong Nonlinearities in Mechanics written by Jacques Besson and published by John Wiley & Sons. This book was released on 2025-01-09 with total page 388 pages. Available in PDF, EPUB and Kindle. Book excerpt: Numerical Methods for Strong Nonlinearities in Mechanics deals with recent advances in the numerical treatment of contact/friction and damage phenomena. Although physically distinct, these phenomena both lead to a strong nonlinearity in the mechanical problem, therefore limiting the regularity of the problem, which is now non-differentiable. This has two direct consequences: on the one hand, the mathematical characteristics of the problem deviate from wellestablished forms, requiring innovative discretization schemes; on the other hand, the low regularity makes it particularly difficult to solve the corresponding large-scale algebraic systems robustly and efficiently. In addition, neither the uniqueness, nor the existence of solutions, remain assured, resulting in bifurcation points, limit loads and structural instabilities, which are always tricky to overcome numerically.


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