Add to ORKGWe put forward a finite element method for static problems of cubic quasicrystals by variation of a suitable general potential functional. As an example we study a quasicrystal column containing a penny-shaped crack. The comparison with analytical results shows that the precision and efficiency of the numerical solution are satisfactory. The procedure can be used to solve more complicated boundary value problems and can be extended towards more sophisticated methods of crack tip loading analysis. DOI: 10.12693/APhysPolA.126.47
AbstractThis present work is concerned with planar cracks embedded in an infinite space of one-dimen...
A methodology for the simulation of quasi-static cohesive crack propagation in quasi-brittle materia...
The purpose of this paper is to consider the interaction between many parallel dislocations and a we...
We put forward a finite element method for static problems of cubic quasicrystals by variation of a ...
A review on mathematical elasticity of quasicrystals is given. In this review, the focus is on vario...
Icosahedral quasicrystals are the most important and thermodynamically stable in all about 200 kinds...
We focus on the dynamic fracture problem of octagonal quasicrystals by applying a rectangular sample...
In this paper, we use an extended form of the finite element method to study failure in polycrystall...
In this paper, a non-standard finite element (FE) method, coupled with a mathematical programming pr...
The Griffith crack problem and the interaction between screw dislocation and semi-infinite crack in ...
A new approach for simulation of fracture in quasi-brittle material is proposed. The structure is di...
We present a Generalized Finite Element Method for the analysis of polycrystals with explicit treatm...
Stationary straight cracks in quasicrystals in linear elastic setting are under scrutiny. The analys...
The final publication is available at Springer via http://dx.doi.org/10.1007/s00466-017-1438-8This p...
We present a Generalized Finite Element Method for the analysis of polycrystals with explicit treatm...
AbstractThis present work is concerned with planar cracks embedded in an infinite space of one-dimen...
A methodology for the simulation of quasi-static cohesive crack propagation in quasi-brittle materia...
The purpose of this paper is to consider the interaction between many parallel dislocations and a we...
We put forward a finite element method for static problems of cubic quasicrystals by variation of a ...
A review on mathematical elasticity of quasicrystals is given. In this review, the focus is on vario...
Icosahedral quasicrystals are the most important and thermodynamically stable in all about 200 kinds...
We focus on the dynamic fracture problem of octagonal quasicrystals by applying a rectangular sample...
In this paper, we use an extended form of the finite element method to study failure in polycrystall...
In this paper, a non-standard finite element (FE) method, coupled with a mathematical programming pr...
The Griffith crack problem and the interaction between screw dislocation and semi-infinite crack in ...
A new approach for simulation of fracture in quasi-brittle material is proposed. The structure is di...
We present a Generalized Finite Element Method for the analysis of polycrystals with explicit treatm...
Stationary straight cracks in quasicrystals in linear elastic setting are under scrutiny. The analys...
The final publication is available at Springer via http://dx.doi.org/10.1007/s00466-017-1438-8This p...
We present a Generalized Finite Element Method for the analysis of polycrystals with explicit treatm...
AbstractThis present work is concerned with planar cracks embedded in an infinite space of one-dimen...
A methodology for the simulation of quasi-static cohesive crack propagation in quasi-brittle materia...
The purpose of this paper is to consider the interaction between many parallel dislocations and a we...