Besson, Jacques <br/><br/>
Numerical Methods for Strong Nonlinearities in Mechanics  Contact and Fracture  [electronic resource] 
Jacques Besson, Frédéric Lebon, Eric Lorentz 
 - 1 
 -  Wiley  2024 
 - 384pp.; 
<br/><br/> 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. 
<br/><br/><label>ISBN: </label>9781394340507 
<br/><br/><label>Standard No.: </label>10.1002/9781394340507  doi 
<br/><br/><label>Subjects--Topical Terms: </label><br/><br/><br/>
<br/><br/><label>Subjects--Index Terms: </label>contact/friction; damage phenomena; nonlinearity; algebraic systems; bifurcation points; limit loads; structural instabilities; numerical methods