Abstract

Porous materials have been widely used in aerospace, electronic communication, petrochemical and bio-medicine, etc. due to their attractive attributes such as low relative density, thermal and acoustical insulation and good permeability. For porous materials suffering high temperature gradient or ultrafast heating, etc., it is crucial to reveal the behaviors of the thermal-induced stress and deformation within them for guiding their potential applications and optimizations. In present work, the thermoelastic dynamic behaviors of a porous half-space subjected to a ramp-type heating is investigated based on the theory for thermoelastic porous materials and the three-phase-lag heat conduction model. The governing equations of the problem are formulated, and then, solved by using Laplace transform and its numerical inversion. The distributions of the nondimensional temperature, displacement, stress and volume fraction within the half-space are obtained and illustrated graphically. In calculation, the effects of time, ramp-heating time factor and thermal time-delay factors on the considered physical quantities are examined and discussed in detail. Comparisons of the variations of the considered quantities under three different theories are carried out and presented.

摘要

多孔材料由于其相对密度低、隔热隔音、透气性好等优点，已广泛应用于航空航天、电子通讯、石油化工和生物医药等领域。对于高温梯度或超快加热等多孔材料，揭示其内部的热致应力和变形行为对于指导其潜在应用和优化至关重要。在目前的工作中，基于热弹性多孔材料理论和三相滞后热传导模型研究了在斜坡型加热下多孔半空间的热弹性动力学行为。建立了问题的控制方程，然后利用拉普拉斯变换及其数值反演求解。获得了半空间内的无量纲温度、位移、应力和体积分数的分布，并以图形方式说明了这一点。在计算中，对时间、斜坡加热时间因子和热延时因子对所考虑的物理量的影响进行了详细检查和讨论。比较了三种不同理论下所考虑的量的变化。