Besson J Numerical Methods for Strong Nonlinearities in Mechanics 2025
General:
Name: Besson J Numerical Methods for Strong Nonlinearities in Mechanics 2025
Format: pdf
Size: 43.74 MB
Book:
Title: Numerical Methods for Strong Nonlinearities in Mechanics
Author: Jacques Besson, Frédéric Lebon, Eric Lorentz
Language: angielski
Year: 2024
Subjects: Science & Technology, Mathematics, Numerical Analysis & Solutions
Publisher: Wiley
ISBN: 9781394340491
Total pages: 374
Description:
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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