02426nam a22003614u 450000100220000000300060002200500170002800700150004500800410006002000300010102400310013104100080016210000210017024501010019125000060029226000160029826400160031430000120033033600260034233700260036833800360039434700210043034700080045152009140045965000360137365000500140965000420145965302190150177600360172085600640175685601020182085601420192210.1002/9781394297535Wiley20251030120303.0cr nn 008mam|a240618t2024||||xxu fs| |0|| 0|eng|| a9781394297535qelectronic7 a10.1002/97813942975352doi aeng1 aLe van, Anh4aut10aContact in Structural MechanicsbA Weighted Residual Approachh[electronic resource]cAnh Le van a1 bWileyc2024 1bWileyc2024 a288pp.; atextbtxt2rdacontent acomputerbc2rdamedia aonline resourcebcr2rdacarrier atext file2rdaft bPDF aContact in Structural Mechanics treats the problem of contact in the context of large deformations and the Coulomb friction law. The proposed formulation is based on a weak form that generalizes the classical principle of virtual powers in the sense that the weak form also encompasses all the contact laws. This formulation is thus a weighted residue method and has the advantage of being amenable to a standard finite element discretization. This book provides the reader with a detailed description of contact kinematics and the variation calculus of kinematic quantities, two essential subjects for any contact study. The numerical resolution is carried out in statics and dynamics. In both cases, the derivation of the contact tangent matrix - an essential ingredient for iterative calculation - is explained in detail. Several numerical examples are presented to illustrate the efficiency of the method. 4aMechanical Engineering - Design 4aGeneral & Introductory Mechanical Engineering 4aMechanical Engineering Special Topics00astructural mechanics; Coulomb friction law; large deformations; contact laws; weighted residue method; standard finite element discretization; contact kinematics; statics and dynamics; contact tangent matrix08iPrinted edition:z978178630906840uhttps://doi.org/10.1002/9781394297535aWiley Online Library40uhttps://onlinelibrary.wiley.com/action/showBook?doi=10.1002%2F9781394297535aWiley Online Library423Cover Imageuhttps://onlinelibrary.wiley.com/cms/asset/737010ca-b763-4d43-a4b8-9a5a01ff5cbb/9781394297535.cover.gifaWiley Online Library