Scholarlink

<p>This study presents a novel spatiotemporal nonlocal elasticity model based on the Klein–Gordon-type theory to investigate size- and time-dependent mechanical and thermal behaviors in perfectly conducting isotropic micropolar thermoelastic materials at micro- and nanoscales. The proposed model integrates internal length and time scales to account for nonlocal interactions and long-range forces, which are essential for accurately describing material behavior at reduced scales where classical continuum theories fail. This framework is seamlessly coupled with the dual-phase-lag (DPL) generalized thermoelasticity to capture finite-speed heat propagation, overcoming the limitations of Fourier’s law. To analyze the coupled thermoelastic responses, we apply the normal mode analysis technique, which allows for the derivation of exact analytical solutions for critical field variables—including temperature, displacement, microrotation, thermal stresses, and carrier density —under arbitrary loading conditions in a two-dimensional half-space domain. The governing equations incorporate micropolar effects, magneto-thermoelastic coupling, and nonlocal constitutive relations, providing a comprehensive description of the system's dynamic behavior. Numerical simulations are performed for a hypothetical magnesium crystal-like material, chosen for its relevance in advanced engineering applications. The results reveal that the inclusion of micropolarity, DPL phase lags, and spatiotemporal nonlocal parameters significantly enhances the accuracy of predicted thermal and mechanical responses, yielding smoother and more damped profiles compared to classical and generalized thermoelasticity models. Graphical representations illustrate finite-speed wave propagation, nonlocal effects, and the influence of phase lag parameters, emphasizing the model's applicability in nanotechnology, microelectronics, and advanced composite design. The present work not only advances the theoretical understanding of micropolar magneto-thermoelasticity but also provides a robust modeling framework for predicting the behavior of micro- and nano-scale systems under complex thermal and magnetic environments. This enhanced predictive capability is crucial for the design and optimization of high-performance materials and devices operating at small scales.</p>

错误：搜索内容不能为空，请输入英文关键词
错误：关键词超出字数限制，请精简
高级检索

Investigation of magneto–thermoelastic effects in a perfectly conducting micropolar half-space using nonlocal theory with internal length and time scales

  • 期刊论文

  • 发表日期：

    2025年7月14日

查看全文
  • Ahmed E. Abouelregal,
  • Salman S. Alsaeed,
  • Mohamed F. Ismail

摘要

This study presents a novel spatiotemporal nonlocal elasticity model based on the Klein–Gordon-type theory to investigate size- and time-dependent mechanical and thermal behaviors in perfectly conducting isotropic micropolar thermoelastic materials at micro- and nanoscales. The proposed model integrates internal length and time scales to account for nonlocal interactions and long-range forces, which are essential for accurately describing material behavior at reduced scales where classical continuum theories fail. This framework is seamlessly coupled with the dual-phase-lag (DPL) generalized thermoelasticity to capture finite-speed heat propagation, overcoming the limitations of Fourier’s law. To analyze the coupled thermoelastic responses, we apply the normal mode analysis technique, which allows for the derivation of exact analytical solutions for critical field variables—including temperature, displacement, microrotation, thermal stresses, and carrier density —under arbitrary loading conditions in a two-dimensional half-space domain. The governing equations incorporate micropolar effects, magneto-thermoelastic coupling, and nonlocal constitutive relations, providing a comprehensive description of the system's dynamic behavior. Numerical simulations are performed for a hypothetical magnesium crystal-like material, chosen for its relevance in advanced engineering applications. The results reveal that the inclusion of micropolarity, DPL phase lags, and spatiotemporal nonlocal parameters significantly enhances the accuracy of predicted thermal and mechanical responses, yielding smoother and more damped profiles compared to classical and generalized thermoelasticity models. Graphical representations illustrate finite-speed wave propagation, nonlocal effects, and the influence of phase lag parameters, emphasizing the model's applicability in nanotechnology, microelectronics, and advanced composite design. The present work not only advances the theoretical understanding of micropolar magneto-thermoelasticity but also provides a robust modeling framework for predicting the behavior of micro- and nano-scale systems under complex thermal and magnetic environments. This enhanced predictive capability is crucial for the design and optimization of high-performance materials and devices operating at small scales.