02363nam a22003734u 450000100220000000300060002200500170002800700150004500800410006002000300010102400310013104100080016210000250017024501560019525000060035126000160035726400160037330000120038933600260040133700260042733800360045334700210048934700080051052008900051865000380140865000260144665000350147265301500150770000290165770000230168677600360170985601020174585601420184710.1002/9781394340507Wiley20251030120306.0cr nn 008mam|a241223t2024||||xxu    fs|   |0|| 0|eng||  a9781394340507qelectronic7 a10.1002/97813943405072doi  aeng1 aBesson, Jacques4aut10aNumerical Methods for Strong Nonlinearities in MechanicsbContact and Fractureh[electronic resource]cJacques Besson, Frédéric Lebon, Eric Lorentz  a1  bWileyc2024 1bWileyc2024  a384pp.;  atextbtxt2rdacontent  acomputerbc2rdamedia  aonline resourcebcr2rdacarrier  atext file2rdaft  bPDF  aNumerical 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. 4aComputational / Numerical Methods 4aMathematical Modeling 4aNumerical Methods & Algorithms00acontact/friction; damage phenomena; nonlinearity; algebraic systems; bifurcation points; limit loads; structural instabilities; numerical methods1 aLebon, Frédéric4aut1 aLorentz, Eric4aut08iPrinted edition:z978178945081140uhttps://onlinelibrary.wiley.com/action/showBook?doi=10.1002%2F9781394340507aWiley Online Library423Cover Imageuhttps://onlinelibrary.wiley.com/cms/asset/081586e8-1f0d-47aa-98ec-d06e72d6f87a/9781394340507.cover.gifaWiley Online Library