Contact and Fracture Besson, Jacques creator aut Lebon, Frédéric aut Lorentz, Eric aut text xxu Wiley 2024 |||| 1 monographic eng

electronic

electronic resource

access 384pp.; 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. specialized Jacques Besson, Frédéric Lebon, Eric Lorentz Computational / Numerical Methods Mathematical Modeling Numerical Methods & Algorithms contact/friction; damage phenomena; nonlinearity; algebraic systems; bifurcation points; limit loads; structural instabilities; numerical methods 9781394340507 https://onlinelibrary.wiley.com/action/showBook?doi=10.1002%2F9781394340507 https://onlinelibrary.wiley.com/cms/asset/081586e8-1f0d-47aa-98ec-d06e72d6f87a/9781394340507.cover.gif https://onlinelibrary.wiley.com/action/showBook?doi=10.1002%2F9781394340507 https://onlinelibrary.wiley.com/cms/asset/081586e8-1f0d-47aa-98ec-d06e72d6f87a/9781394340507.cover.gif 241223 20251030120306.0 10.1002/9781394340507