Transient Dynamic Crack Analysis in Decagonal Quasicrystal
A meshless method based on the local Petrov-Galerkin approach is proposed to solve initial-boundary value crack problems in decagonal quasicrystals.These quasicrystals belong to the class of two-dimensional quasicrystals,where the atomic arrangement is quasiperiodic in a plane,and periodic in the perpendicular direction.The ten-fold symmetries occur in these quasicrystals.The two-dimensional (2-d) crack problem is represented by a coupling of phonon and phason displacements.Both stationary governing equations and dynamic equations represented by the Bak model with oscillations for phason are analyzed here.Nodal points are spread on the analyzed domain,and each node is surrounded by a small circle for simplicity.The spatial variation of the phonon and phason displacements is approximated by the Moving Least-Squares (MLS) scheme.After performing the spatial integrations,one obtains a system of ordinary differential equations for certain nodal unknowns.That system is solved numerically by the Houbolt finite-difference scheme as a time-stepping method.
Meshless local Petrov-Galerkin method (MLPG) phonon phason intensity factors
Jan Sladek Vladimir Sladek Slavomir Krahulec Chuanzeng Zhang Michael Wünsche
Institute of Construction and Architecture,Slovak Academy of Sciences,84503 Bratislava,Slovakia Department of Civil Engineering,University of Siegen,D-57068 Siegen,Germany
国际会议
北京
英文
1-10
2013-06-16（万方平台首次上网日期，不代表论文的发表时间）