A modified incremental creep integral approach for meshfree analysis of viscoelastic problems

摘要

In the present work, an improved meshfree radial point interpolation method (RPIM) is developed for the analysis of homogeneous, as well as non-homogeneous viscoelastic problems. A novel strategy for implementing integral-based viscoelastic constitutive theories using the meshfree methods is presented. This strategy makes use of the integral formulation of Schapery-type constitutive theories and higher-order finite difference (FD) schemes. The Cartesian transformation method (CTM) is adopted for accurate and efficient calculation of the domain integrals in the formulation of the meshfree RPIM. The superior performance of this modified algorithm is assessed through some benchmark examples and by comparing the obtained results with the existing analytical or numerical solutions. Through these comparisons, an improvement over the conventional integral-based recursive strategies of viscoelastic materials is observed.