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首页> 外文期刊>Journal of thermal stresses >MULTILAYERED PLATE MODEL WITH 'ADAPTIVE' REPRESENTATION OF DISPLACEMENTS AND TEMPERATURE ACROSS THE THICKNESS AND FIXED D.O.F.
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MULTILAYERED PLATE MODEL WITH 'ADAPTIVE' REPRESENTATION OF DISPLACEMENTS AND TEMPERATURE ACROSS THE THICKNESS AND FIXED D.O.F.

机译：在厚度和固定D.O.F.方向上具有位移和温度“自适应”表示的多层板模型

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摘要

A new multilayered zig-zag plate model for analysis of thermo-elastk problems is developed. It a priori fulfils the boundary conditions and the stress contact conditions on inter laminar shear and normal stresses and the continuity of the heat flux and temperature at the layer interfaces, as prescribed by the elasticity theory and heat conduction equation. The functional d.o.f. are the mid-plane displacements and shear rotations, like for classical plate models, and the temperature at the upper and lower bounding faces. A non-classical feature, a high-order piecewise variation of the transverse displacement is assumed across the thickness aimed at accurately describing the transverse normal stress, as it has a significant bearing for keeping equilibrium in thermo-elastk problems. Also non classical feature, the representation of displacements and temperature can be different from point to point across the thickness, to adapt to the variation of solutions. This refinement is obtained by keeping the number of functional d.o.f. unchanged, since the coefficients of the hierarchic contributions are determined enforcing the fulfillment of the equilibrium and heat conduction equation at selected points across the thickness. As shown by the comparison with exact solutions of benchmark test cases, the present model accurately predicts displacement, stress and temperature variations across the thickness from constitutive equations, even when thickness is extreme and the thermo-elastk properties of layers are distinctly different. Its bask advantage over existing models is a lower computational effort under the same accuracy.
机译：开发了一种用于分析热弹性问题的新型多层之字形板模型。先验地满足了层间剪切和法向应力的边界条件和应力接触条件，并且满足了弹性理论和热传导方程所规定的层界面处的热通量和温度的连续性。功能性d.o.f.像经典板模型一样，是中平面位移和剪切旋转以及上下边界面的温度。一个非经典的特征是，为了精确描述横向法向应力，在整个厚度上假定了横向位移的高阶分段变化，因为它对于在热弹性问题中保持平衡具有重要意义。同样是非经典特征，在整个厚度范围内，点和点的位移和温度表示可能不同，以适应溶液的变化。通过保持功能d.f.f的数量可以实现这种改进。保持不变，因为确定了分层贡献的系数，从而在整个厚度的选定点上都实现了平衡和热传导方程式的实现。如通过与基准测试用例的精确解决方案进行比较所显示的，即使厚度极高且各层的热弹性性能明显不同，本模型也可以根据本构方程准确预测整个厚度范围内的位移，应力和温度变化。与现有模型相比，它的优点是在相同精度下的计算量较小。

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