Le van, Anh <br/><br/>
Contact in Structural Mechanics  A Weighted Residual Approach  [electronic resource] 
Anh Le van 
 - 1 
 -  Wiley  2024 
 - 288pp.; 
<br/><br/> Contact 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. 
<br/><br/><label>ISBN: </label>9781394297535 
<br/><br/><label>Standard No.: </label>10.1002/9781394297535  doi 
<br/><br/><label>Subjects--Topical Terms: </label><br/><br/><br/>
<br/><br/><label>Subjects--Index Terms: </label>structural mechanics; Coulomb friction law; large deformations; contact laws; weighted residue method; standard finite element discretization; contact kinematics; statics and dynamics; contact tangent matrix