02476nam a22003974u 4500 10.1002/9781394340507 Wiley 20251030120306.0 cr nn 008mam|a 241223t2024||||xxu fs| |0|| 0|eng|| 9781394340507 electronic 10.1002/9781394340507 doi eng Besson, Jacques aut 91470 Numerical Methods for Strong Nonlinearities in Mechanics Contact and Fracture [electronic resource] Jacques Besson, Frédéric Lebon, Eric Lorentz 1 Wiley 2024 Wiley 2024 384pp.; text txt rdacontent computer c rdamedia online resource cr rdacarrier text file rdaft PDF 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. Computational / Numerical Methods 91471 Mathematical Modeling 91472 Numerical Methods & Algorithms 91473 contact/friction; damage phenomena; nonlinearity; algebraic systems; bifurcation points; limit loads; structural instabilities; numerical methods Lebon, Frédéric aut 91474 Lorentz, Eric aut 91475 Printed edition: 9781789450811 https://onlinelibrary.wiley.com/action/showBook?doi=10.1002%2F9781394340507 Wiley Online Library Cover Image https://onlinelibrary.wiley.com/cms/asset/081586e8-1f0d-47aa-98ec-d06e72d6f87a/9781394340507.cover.gif Wiley Online Library 66967 66967