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A time-fractional of a viscoelastic frictionless contact problem with normal compliance
In this paper, we propose a new model of dynamic frictionless contact problem between a viscoelastic body and a rigid foundation. The constitutive...
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History-Dependent Inequalities for Contact Problems with Locking Materials
We consider a class of history-dependent variational–hemivariational inequalities with constraints. Besides the unique solvability of the...
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A Class of Variational-Hemivariational Inequalities in Reflexive Banach Spaces
We study a new class of elliptic variational-hemivariational inequalities in reflexive Banach spaces. An inequality in the class is governed by a...
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Evolutionary Oseen Model for Generalized Newtonian Fluid with Multivalued Nonmonotone Friction Law
The paper deals with the non-stationary Oseen system of equations for the generalized Newtonian incompressible fluid with multivalued and nonmonotone...
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A Dynamic Contact Problem with History-Dependent Operators
In this paper we present results on existence, uniqueness and convergence of solutions to the Cauchy problem for abstract first order evolutionary...
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Non-smooth engineering dynamics
In the meantime it is well known that multibody systems including multiple contacts, either as phenomena with contacts and detachment or with stick...
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Hyperbolic Hemivariational Inequalities for Dynamic Viscoelastic Contact Problems
The paper deals with second order nonlinear evolution inclusions and their applications. First, we study an evolution inclusion involving...
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On non-smooth dynamics
The fundamentals of non-smooth mechanics have been developed in Europe in the second half of the last century and since then continuously extended...
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A Unified Approach to Dynamic Contact Problems in Viscoelasticity
In this paper we consider mathematical models describing dynamic viscoelastic contact problems with the Kelvin–Voigt constitutive law and...
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Semilinear Hemivariational Inequalities with Dirichlet Boundary Condition
The paper studies nonsmooth semilinear elliptic boundary value problems which are expressed in the form of hemivariational inequalities. The approach... -
Elastodynamic Unilateral Contact Problems with Friction for Bodies with Cracks
A complete and consistent review is made of the results of studies into the contact interaction of crack edges by methods of fracture mechanics. Also...
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Concluding Remarks
Traditionally, the dynamics of rigid body systems is attributed to the area of analytical mechanics which connects mathematics with applied technical... -
Representation of Scalar Force Laws
In this chapter we are mainly interested in a further discussion of the force laws from the last two equations in (5.19). We will present a... -
Unilateral Multibody Dynamics
Contact processes may be represented by local discretization, by a rigid body approach or by a mixed method using both ideas. For the dynamics of...
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A Mathematical Approach to the Rock Interface Problem
In the present paper a method is presented for the analysis of rock interface. The mechanical response of rock interface involves nonlinear...
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Double Eigenvalue Problems for Hemivariational Inequalities
The aim of the present paper is to study a new type of eigenvalue problem, called a double eigenvalue problem, which arises in hemivariational...
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On Debonding and Delamination Effects in Adhesively Bonded Cracks on Fractal Type
The present paper studies the influence of adhesives on the behaviour of cracks in deformable bodies. Especially the delamination and debonding...
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Stability of elastic bodies with nonmonotone multivalued boundary conditions of the quasidifferential type
Necessary conditions for the stability of elastic bodies subjected to nonmonotone multivalued boundary conditions are derived. These conditions are...
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Neural networks for computing in the elastoplastic analysis of structures
A neural network model is proposed and studied for the treatment of elastoplastic analysis problems. These problems are formulated as Q.P.P.s with...
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Adhesive joints and interfaces of linear elastic bodies in loading and unloading. Semicoercive hemivariational inequalities
The present paper deals with the behaviour of adhesive joints and of interfaces in elastic bodies. Especially the possibility of debonding effects in...