Generalized thermoelasticity in framework of peridynamics

Abstract eng:
Nonlocality may arise in modelling the overall thermomechanical properties of heterogeneous media or in solving thermomechanical problems at small scales. This paper presents the nonlocal peridynamic equations of generalized thermoelasticity that couples together the ordinary state-based peridynamic non-Fourier heat conduction theory and the peridynamic equation of motion. Based on irreversible thermodynamics, the equations are derived by introducing the concept of phase lags of time into the peidynamic framework, which considers nonlocal mechanical effect and non-Fourier heat conduction simultaneously. Numerical procedures are proposed to solve the integrodifferential equations, and the results are in good agreement with available experimental data of two examples. Compared with classical generalized thermoelasticity, the peridyanmic generalized thermoelasticity can be easily applied to multidimensional media containing discontinuities.

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