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- Publications
- Influence
On Invertibility of Elastic Single-Layer Potential Operator
- R. Vodicka, V. Mantič
- Mathematics
- 1 February 2004
The question of unique solvability of the boundary integral equation of the first kind given by the single-layer potential operator is studied in the case of plane isotropic elasticity. First, a… Expand
Two variational formulations for elastic domain decomposition problems solved by SGBEM enforcing coupling conditions in a weak form
- R. Vodicka, V. Mantic, F. París
- Mathematics
- 2011
Abstract The solution of Boundary Value Problems of linear elasticity using a domain decomposition approach (DDBVPs) is considered. Some theoretical aspects of two new energy functionals, adequate… Expand
Symmetric Variational Formulation of BIE for Domain Decomposition Problems in Elasticity -- An SGBEM Approach for Nonconforming Discretizations of Curved Interfaces
- R. Vodicka, V. Mantic, F. Carballo
- Mathematics
- 1 February 2007
An original approach to solve domain decomposition problems by the symmetric Galerkin boundary element method is developed. The approach, based on a new variational principle for such problems,… Expand
On the removal of the non‐uniqueness in the solution of elastostatic problems by symmetric Galerkin BEM
- R. Vodicka, V. Mantic, F. París
- Mathematics
- 18 June 2006
A study of the removal of the non-uniqueness in the solution of elastostatic problems by means of the symmetric Galerkin boundary element method is presented. The paper focuses on elastic problems… Expand
An energy based formulation of a quasi-static interface damage model with a multilinear cohesive law
- R. Vodicka, V. Mantic
- Mathematics
- 1 June 2017
A new quasi-static and energy based formulation of an interface damage model which provides interface traction-relative displacement laws like in traditional trilinear (with bilinear softening) or… Expand
An 2-D SGBEM formulation of contact models coupling the interface damage and Coulomb friction in fibre–matrix composites
- J. Kšiňan, R. Vodicka
- Materials Science
- 1 December 2016
Abstract A new numerical contact model able to predict the interface debonding and damage considering Coulomb friction contact between debonded surfaces has been developed. A comparison of two… Expand
The first-kind and the second-kind boundary integral equation systems for solution of frictionless contact problems
- R. Vodicka
- Mathematics
- 1 May 2000
An original approach to the numerical solution of displacement boundary integral equation (BIE) and traction hypersingular boundary integral equation (HBIE) by the boundary element method (BEM) for… Expand
A quasi-static interface damage model with cohesive cracks: SQP–SGBEM implementation
- R. Vodicka
- Mathematics
- 2016
Abstract A quasi-static model for crack-mode sensitive interface damage with linearly elastic bodies at small strains is developed. It invokes a cohesive type response of the interface interpreted as… Expand
Quasistatic normal-compliance contact problem of visco-elastic bodies with Coulomb friction implemented by QP and SGBEM
- R. Vodicka, V. Mantic, T. Roubícek
- Mathematics, Computer Science
- J. Comput. Appl. Math.
- 1 May 2017
TLDR
Statistical Evaluation of Dependence Between pH, Metal Contaminants, and Flow Rate in the AMD-Affected Smolnik Creek
- M. Balintova, E. Singovszka, R. Vodicka, P. Purcz
- Geology
- Mine Water and the Environment
- 1 March 2016
Acid mine drainage (AMD) with a pH of 3.7–4.1 seeps from an abandoned sulphide mine in Smolnik, Slovakia at a flow rate of 5–10 L/s. Metals precipitate as the AMD mixes with the higher pH Smolnik… Expand