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<p>Thermomechanical loading in high-temperature structures can produce steep temperature gradients, constrained thermal expansion, and stress concentrations. Combined with temperature-dependent elasticity, plasticity, creep, and thermal conductivity, these effects accelerate damage accumulation and crack initiation and growth, especially under transient or cyclic heating. Local continuum methods can capture thermoelasticity, but evolving cracks introduce discontinuities and may modify heat-transfer paths, so coupled analyses often require additional fracture modeling and carefully designed coupling procedures. Peridynamics (PD) formulates mechanics and heat conduction through nonlocal integral interactions, allowing discontinuities to emerge without explicit crack-surface tracking. Focusing on literature published primarily since 2018, this review classifies PD thermomechanics by coupling mechanisms and constitutive assumptions, and compares representative formulations in terms of applicability, limitations, and computational cost. We synthesize numerical practices that most strongly affect predictive reliability, including boundary and surface corrections, coupling-consistent updates of thermal and mechanical operators during damage evolution, and stability and accuracy constraints for explicit, multirate, and implicit time integration. Applications are reviewed for thermal-shock and thermomechanical-fatigue cracking, manufacturing and processing with localized or moving heat input, thermo-tribological contact, and extreme service environments. Outstanding challenges include scalable three-dimensional solvers, calibration of thermal and fracture parameters, and shared verification and validation benchmarks; research directions toward efficient implementations and standardized assessment are outlined.</p>

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Thermomechanical coupling in peridynamics: a review of theory, numerics, and mechanical-engineering applications

  • 期刊论文

  • 发表日期：

    2026年5月12日

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  • Wendi Deng,
  • Hongwan Jiang,
  • Zhongwei Ren,
  • Yang Chen,
  • Zhengping Shen,
  • Sen Yuan

摘要

Thermomechanical loading in high-temperature structures can produce steep temperature gradients, constrained thermal expansion, and stress concentrations. Combined with temperature-dependent elasticity, plasticity, creep, and thermal conductivity, these effects accelerate damage accumulation and crack initiation and growth, especially under transient or cyclic heating. Local continuum methods can capture thermoelasticity, but evolving cracks introduce discontinuities and may modify heat-transfer paths, so coupled analyses often require additional fracture modeling and carefully designed coupling procedures. Peridynamics (PD) formulates mechanics and heat conduction through nonlocal integral interactions, allowing discontinuities to emerge without explicit crack-surface tracking. Focusing on literature published primarily since 2018, this review classifies PD thermomechanics by coupling mechanisms and constitutive assumptions, and compares representative formulations in terms of applicability, limitations, and computational cost. We synthesize numerical practices that most strongly affect predictive reliability, including boundary and surface corrections, coupling-consistent updates of thermal and mechanical operators during damage evolution, and stability and accuracy constraints for explicit, multirate, and implicit time integration. Applications are reviewed for thermal-shock and thermomechanical-fatigue cracking, manufacturing and processing with localized or moving heat input, thermo-tribological contact, and extreme service environments. Outstanding challenges include scalable three-dimensional solvers, calibration of thermal and fracture parameters, and shared verification and validation benchmarks; research directions toward efficient implementations and standardized assessment are outlined.