zbMATH — the first resource for mathematics

Examples
Geometry Search for the term Geometry in any field. Queries are case-independent.
Funct* Wildcard queries are specified by * (e.g. functions, functorial, etc.). Otherwise the search is exact.
"Topological group" Phrases (multi-words) should be set in "straight quotation marks".
au: Bourbaki & ti: Algebra Search for author and title. The and-operator & is default and can be omitted.
Chebyshev | Tschebyscheff The or-operator | allows to search for Chebyshev or Tschebyscheff.
"Quasi* map*" py: 1989 The resulting documents have publication year 1989.
so: Eur* J* Mat* Soc* cc: 14 Search for publications in a particular source with a Mathematics Subject Classification code (cc) in 14.
"Partial diff* eq*" ! elliptic The not-operator ! eliminates all results containing the word elliptic.
dt: b & au: Hilbert The document type is set to books; alternatively: j for journal articles, a for book articles.
py: 2000-2015 cc: (94A | 11T) Number ranges are accepted. Terms can be grouped within (parentheses).
la: chinese Find documents in a given language. ISO 639-1 language codes can also be used.

Operators
a & b logic and
a | b logic or
!ab logic not
abc* right wildcard
"ab c" phrase
(ab c) parentheses
Fields
any anywhere an internal document identifier
au author, editor ai internal author identifier
ti title la language
so source ab review, abstract
py publication year rv reviewer
cc MSC code ut uncontrolled term
dt document type (j: journal article; b: book; a: book article)
A class of contact and friction dynamic problems in thermoelasticity and in thermoviscoelasticity. (English) Zbl 0899.73473
Summary: We consider a class of dynamical contact problems with friction in the framework of thermoelasticity and thermoviscoelasticity theories. The results are valid for both elastic and viscoelastic materials (with short and long memory terms), for contact conditions, of the power law type, both on the normal and on the tangential stress components, including also unilateral contact conditions on the temperature or heat flux. Some existence and nonexistence; unicity and nonunicity results are presented, as a function of the relationship between the elasticity, viscous, thermal and contact coefficients. This work extends previous results of Duvaut and Lions and of Martins and Oden for the elastodynamics case. We use a penalty method in order to take into account the variational inequality equations and a regularization method for the approximation of the friction functional.
MSC:
74A55Theories of friction (tribology)
74M15Contact (solid mechanics)
74D05Linear constitutive equations (materials with memory)
74D10Nonlinear constitutive equations (materials with memory)
80A20Heat and mass transfer, heat flow