考虑快速加热过程中的延迟效应和耦合效应,基于广义热弹性理论,建立了热冲击下描述弹性体热力耦合特性的热弹性动力学模型.借助于Laplace变换,推导了热作用初期一维热弹性响应的瞬时解.通过对弹性体内各物理场的求解分析,给出了热弹性波在弹性体内部的传递规律,以及延迟效应和耦合效应对热弹性响应的影响.结果表明:在快速加热条件下,延迟效应的存在削弱了热冲击的作用效果,而耦合效应则在影响热弹性波在弹性体内传播的同时也在一定程度上减弱了延迟效应对热冲击的削弱效果.
Abstract
With the considerations of delay effect and coupling effect, the thermoelastic dynamic model was established based on the generalized thermoelasticity. The short-time analytical solutions for one-dimension thermal shock problem were deduced according to Laplace transform and inverse transform. Numerical simulation was conducted to discuss the transmission of thermoelastic wave in elastic solid and the influence of delay and coupling effects on the thermoelastic response. The results show that the thermal shock is weakened by delay effect, while this weaken effect can be restrained by coupling effect to some extent during the transient heat conduction.
关键词
热冲击 /
热力耦合 /
广义热弹性理论 /
非傅里叶传热 /
弹性体
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Key words
thermal shock /
thermo-mechanical coupling /
generalized thermoelasticity /
Non-Fourier heat conduction /
elastic solid
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脚注
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基金
国家自然科学基金资助项目(11102073,50978125); 中国博士后基金资助项目(2012M511207); 江苏省自然科学基金资助项目(BK2008234); 江苏大学高级人才专项基金资助项目(10JDG055); 江苏高校优势学科建设工程项目(PAPD)
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