Advanced Search

Query:

Fill in the form and click »Search«...

Format:

Display: entries per page entries

Zbl 1090.74041
Chau, Oanh; Motreanu, Dumitru; Sofonea, Mircea
Quasistatic frictional problems for elastic and viscoelastic materials. (English)
[J] Appl. Math., Praha 47, No. 4, 341-360 (2002). ISSN 0862-7940; ISSN 1572-9109/e

An approach to quasistatic frictional problems whose variational formulations include a subspace as a set of admissible functions is presented. The approach is suitable for the evolution problems of the normal-compliance type as well as for the homogeneous Dirichlet boundary condition (sometimes considered as a two-sided contact problem) if possible acceleration is neglected. The existence and uniqueness of solutions is proved for both viscoelastic and purely elastic materials. The convergence of solutions of the viscoelastic problems to the solution of the elastic one for the vanishing viscosity is proved as well. At the end, a list of several models solvable by the approach is added. A possible modification or limit to unilateral contact conditions (respecting in particular the freedom of the body to move from the obstacle) is not considered.
[Jiř\'{i} Jarušek (Praha)]

MSC 2000:: *74M10 Friction
74D05 Linear constitutive equations
58E35 Variational inequalities (global problems)
35J65 (Nonlinear) BVP for (non)linear elliptic equations

Keywords: penalized or two-sided contact condition; friction; viscoelastic material; elastic material; quasistatic variational inequality; weak solution

Comment on this Item PDF MathML XML ASCII DVI PS BibTeX Online Ordering Article Article Journal

	Scientific prize winners of the ICM 2010
	Overhang
	Lie groups, physics and geometry. An introduction for physicists, engineers and chemists.

Advanced Search

Zentralblatt MATH Berlin [Germany]