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Contact Problem for a Rigid Punch and an Elastic Half Space as an Inverse Problem
We solve a contact problem of indentation of a punch into an elastic half space with regard for the friction and in the presence of the zones of...
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Duality Method for Solving 3D Contact Problems with Friction
AbstractThe article studies a 3D contact problem with Coulomb friction for an elastic body resting on a rigid support. The solution of the...
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Behavior of Solutions of One-Sided Variational Problems on Phase Transitions in Continuum Mechanics at High Temperatures
The variational problem on the equilibrium of a two-phase elastic medium is studied for conditions of the Signorini type. The strong convergence of...
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Mathematical Modeling in Contact Mechanics
In this chapter, we present preliminary material needed in modeling and analysis of contact problems. This concerns the function spaces, the balance... -
On the Signorini’s Contact Problem with Non-local Coulomb’s Friction in Thermo-Piezoelectricity
This paper deals with the quasi-static frictional contact problem between a thermo-piezoelectric body and a rigid foundation. The body’s material is...
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Strong Convergence of an Inertial Extragradient Method with an Adaptive Nondecreasing Step Size for Solving Variational Inequalities
In this work, we investigate a classical pseudomonotone and Lipschitz continuous variational inequality in the setting of Hilbert space, and present...
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Stochastic Navier–Stokes Variational Inequalities with Unilateral Boundary Conditions: Probabilistic Weak Solvability
We initiate the investigation of stochastic Navier–Stokes variational inequalities involving unilateral boundary conditions and nonlinear forcings...
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Francesco Severi’s Mathematical Library
We introduce and offer the inventory of the mathematical library of Francesco Severi (1879–1961), which is held at the Istituto Nazionale di Alta... -
The Obstacle Problem at Zero for the Fractional p-Laplacian
In this paper we establish a multiplicity result for a class of unilateral, nonlinear, nonlocal problems with nonsmooth potential...
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Modified Inertial Projection Method for Solving Pseudomonotone Variational Inequalities with Non-Lipschitz in Hilbert Spaces
This paper deals with a class of inertial gradient projection methods for solving a variational inequality problem involving pseudomonotone and...
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Hybrid High-Order Methods for the Elliptic Obstacle Problem
Hybrid High-Order methods are introduced and analyzed for the elliptic obstacle problem in two and three space dimensions. The methods are formulated...
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Optimal location of a thin rigid inclusion for a problem describing equilibrium of a composite Timoshenko plate with a crack
We consider equilibrium problems for a cracked composite plate with a thin cylindrical rigid inclusion. Deformation of an elastic matrix is described...
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The Signorini Problem and More Nonsmooth BVPs and Their Boundary Integral Formulation
In this chapter we deal with unilateral and nonsmooth boundary value problems, in particular Signorini problems without and with Tresca friction and... -
Nonsmooth dynamic analysis of rigid-flexible interaction collision
This paper aims to explore the deformation of the collided bodies in multi-body systems and to effectively simulate the motion path of colliding...
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A Class of Multivalued Quasi-Variational Inequalities with Applications
In this paper we deal with a class of nonlinear quasi-variational inequalities involving a set-valued map and a constraint set. First, we prove that...
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On the spectrum of Schur complements of 2D elastic clusters joined by rigid edge modes and hybrid domain decomposition
The hybrid FETI-DP method proposed by Klawonn and Rheinbach uses a two-level decomposition of the domain into subdomains and clusters. Here we give...
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First-order least-squares method for the obstacle problem
We define and analyse a least-squares finite element method for a first-order reformulation of the obstacle problem. Moreover, we derive variational...
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Mathematical Modeling of Finite Deformations in Shape Memory Materials
AbstractWithin the framework of the formalized approach, which was proposed in our previous works to construct mathematical models describing the...
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Impact Loading of Interface Cracks: Effects of Cracks Closure and Friction
In the current study, the 2-D problem for a linear interface crack under the Heaviside normal shear pulse is solved using the boundary integral...