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A coupled thermomechanical nonordinary state‐based peridynamics for thermally induced cracking of rocks
Author(s) -
Shou Yundong,
Zhou Xiaoping
Publication year - 2020
Publication title -
fatigue and fracture of engineering materials and structures
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.887
H-Index - 84
eISSN - 1460-2695
pISSN - 8756-758X
DOI - 10.1111/ffe.13155
Subject(s) - peridynamics , cracking , materials science , temperature gradient , thermal , tensor (intrinsic definition) , mechanics , deformation (meteorology) , coupling (piping) , thermal conduction , thermal expansion , field (mathematics) , viscoelasticity , composite material , thermodynamics , continuum mechanics , physics , geometry , mathematics , quantum mechanics , pure mathematics
A novel coupled thermo‐mechanical nonordinary state‐based peridynamics is proposed to study thermally induced damage in rocks. The thermal expansion characteristics of solid material are introduced into the coupled thermomechanical model to consider the influence of temperature. The deformation gradient tensor is obtained by the temperature fields, which is solved by peridynamic heat conduction theory. By introducing the deformation gradient tensor into the force state function of the nonordinary state‐based peridynamics, the coupling of thermal and mechanical is realized. A failure criterion is developed to investigate the thermally induced cracking of rocks. Then, the validity of the coupled thermo‐mechanical model is demonstrated by a numerical simulation. The correctness of the coupled model is validated by a benchmark example with analytic solution. Moreover, the thermal cracking progress in rocks is simulated using the proposed coupled nonordinary state‐based peridynamic model, and it is found that the numerical results are in good agreement with the previous experimental observations.