Article
Licensed
Unlicensed
Requires Authentication
Analysis and approximation of frictionless contact problems between two piezoelectric bodies with adhesion
-
,
Published/Copyright:
November 8, 2014
Abstract
We consider a mathematical frictionless contact problem between two electro-elastic bodies. The contact is modelled with normal compliance and adhesion. We provide a variational formulation for the problem and prove the existence of a unique weak solution. The proofs are based on arguments of time-dependent variational inequalities, the Cauchy–Lipschitz Theorem and the Banach Fixed-Point Theorem. Then, a discrete scheme is introduced based on the finite element method to approximate the spatial variable. Furthermore, we provide optimal a priori error estimates for the displacements, the electric potential and the bonding at the contact interface.
Received: 2013-2-3
Revised: 2013-5-15
Accepted: 2014-1-20
Published Online: 2014-11-8
Published in Print: 2014-12-1
© 2014 by De Gruyter
You are currently not able to access this content.
You are currently not able to access this content.
Articles in the same Issue
- Frontmatter
- Existence of positive solutions for a class of fractional differential equation systems with multi-point boundary conditions
- Two-quadratic modules and cofibration category
- Solutions of integro-differential equations related to contact problems of viscoelasticity
- Some Tauberian conditions obtained through weighted generator sequences
- On improvements of Opial-type inequalities
- Connections between the iterated (anti)derivatives of es·x1/2 with respect to x and spherical modified Bessel functions of second kind
- Analysis and approximation of frictionless contact problems between two piezoelectric bodies with adhesion
- Maximal and Calderón–Zygmund operators in grand variable exponent Lebesgue spaces
- The stability of some generalization of the quadratic functional equation
- A stability result of a Timoshenko system in thermoelasticity of second sound with a delay term in the internal feedback
- An Ostrowski type inequality for derivatives of q-th power of s-convex functions via fractional integrals
- A new class of Tricomi–Legendre–Hermite and related polynomials
- A note on the norm convergence by Vilenkin–Fejér means
Keywords for this article
Piezoelectric material;
adhesion;
existence and uniqueness;
fixed point;
error estimates
Articles in the same Issue
- Frontmatter
- Existence of positive solutions for a class of fractional differential equation systems with multi-point boundary conditions
- Two-quadratic modules and cofibration category
- Solutions of integro-differential equations related to contact problems of viscoelasticity
- Some Tauberian conditions obtained through weighted generator sequences
- On improvements of Opial-type inequalities
- Connections between the iterated (anti)derivatives of es·x1/2 with respect to x and spherical modified Bessel functions of second kind
- Analysis and approximation of frictionless contact problems between two piezoelectric bodies with adhesion
- Maximal and Calderón–Zygmund operators in grand variable exponent Lebesgue spaces
- The stability of some generalization of the quadratic functional equation
- A stability result of a Timoshenko system in thermoelasticity of second sound with a delay term in the internal feedback
- An Ostrowski type inequality for derivatives of q-th power of s-convex functions via fractional integrals
- A new class of Tricomi–Legendre–Hermite and related polynomials
- A note on the norm convergence by Vilenkin–Fejér means
