Application of a hybrid mesh-free method for shock-induced thermoelastic wave propagation analysis in a layered functionally graded thick hollow cylinder with nonlinear grading patterns. (English) Zbl 1297.74164
Summary: This article exploits a hybrid mesh-free method for coupled thermoelasticity analysis (without energy dissipation) and thermoelastic wave propagation analysis in layered FGMs subjected to shock loading. The presented hybrid mesh-free method is based on generalized finite difference (GFD) and Newmark finite difference (NFD) methods. The Green-Naghdi (GN) theory of coupled thermoelasticity is assumed to derive the governing equations for FG thick hollow cylinder. The layered FG cylinder is assumed to be under thermal shock loading. The mechanical properties of layered FG cylinder are considered to vary along the radial direction as nonlinear functions in terms of volume fraction. Thermoelastic wave propagations are studied in details at various time instants for various grading patterns of mechanical properties. The effects of nonlinear grading patterns on thermoelastic wave propagations are obtained and discussed using the presented effective mesh-free method.
MSC:
| 74S20 | Finite difference methods applied to problems in solid mechanics |
| 74F05 | Thermal effects in solid mechanics |
| 65M06 | Finite difference methods for initial value and initial-boundary value problems involving PDEs |
| 74J40 | Shocks and related discontinuities in solid mechanics |
Keywords:
mesh-free method; generalized coupled thermoelasticity; generalized finite difference (GFD) method; thick hollow cylinder; thermal shock; functionally graded materials (FGMs)References:
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