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<p>Laser processing has become a representative technology for industrial manufacturing with high precision and complex spatial structures. The generalized heat transfer and thermoelastic coupling with thermal lagging and nonlocal effects are more applicable than Fourier’s law due to the ultrahigh-temperature, ultrafast, and microscale characteristics of laser processing. In addition, the high strain rate due to ultrafast expansion should also be captured. In this work, based on Cattaneo–Vernotte (CV) generalized heat transfer, the extended Cattaneo–Vernotte model is derived through a double series expansion of the heat conduction convolutional integral equation. This model is then applied to investigate the one-dimensional thermoelastic transient response of a semi-infinite medium under four types of boundary/initial conditions, incorporating strain rate. The results show that the extended CV model effectively resolves the response discontinuities inherent in the CV model. The strain-rate effect plays a critical yet distinct role depending on different constitutive equations and the external excitation. This work is a further improvement of generalized thermoelasticity and will be used for thermoelastic analysis and prediction at microscale, ultrafast, and high-strain-rate condition.</p>

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Extended thermoelastic model with strain rate and high-order Cattaneo–Vernotte model

  • 期刊论文

  • 发表日期：

    2026年1月15日

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  • Hua Wu,
  • Yanlong Xu,
  • Ye Xiao,
  • Chenghui Xu,
  • Yajun Yu

摘要

Laser processing has become a representative technology for industrial manufacturing with high precision and complex spatial structures. The generalized heat transfer and thermoelastic coupling with thermal lagging and nonlocal effects are more applicable than Fourier’s law due to the ultrahigh-temperature, ultrafast, and microscale characteristics of laser processing. In addition, the high strain rate due to ultrafast expansion should also be captured. In this work, based on Cattaneo–Vernotte (CV) generalized heat transfer, the extended Cattaneo–Vernotte model is derived through a double series expansion of the heat conduction convolutional integral equation. This model is then applied to investigate the one-dimensional thermoelastic transient response of a semi-infinite medium under four types of boundary/initial conditions, incorporating strain rate. The results show that the extended CV model effectively resolves the response discontinuities inherent in the CV model. The strain-rate effect plays a critical yet distinct role depending on different constitutive equations and the external excitation. This work is a further improvement of generalized thermoelasticity and will be used for thermoelastic analysis and prediction at microscale, ultrafast, and high-strain-rate condition.