Theoretical Development on Thermal Stress Problem for Metal Matrix Composite

本研究课题“金属基复合材料热应力问题的理论发展”从1987年到1988年已经进行了两年。在本研究项目中，我们处理了金属基多层复合材料的三种不同的热应力问题。一个是关于多层叠层梁的热弯曲问题，另一个是关于正交层合板或角层合板的热弹性行为和多层空心圆柱体的热应力问题。本研究项目取得了一些优秀的成果，主要包括以下几个方面：W.对三种不同热状态下多层叠层空心圆筒的热传导问题进行了理论分析。其中之一是由于内外表面的热量均匀分布而产生的平面轴对称问题。二是…供热不均匀引起的平面不对称问题最后一个是三维轴对称问题，这是由于热供应相对于轴向不均匀而引起的。然后，对上述三种情况进行了数值计算。数值结果显示了金属基层压复合材料的一些有趣而独特的热弹性行为。此外，作为近似方法之一，我们成功地将多层叠层复合材料圆柱体的分析结果应用于非均匀材料的空心筒问题，并进行了数值计算，评估了这种非均匀材料的热应力松弛特性的影响。2.研究了无限长正交层合板或角层合板在上下对称供热和非对称供热条件下的热弹性行为，考察了板的铺设角度和材料性能对板的热变形和热应力分布的影响。较少

The present research project entitled "Theoretical Development on Thermal Stress Problem for Metal Matrix Composite" have been carried out for two years from 1987 to 1988. In the present research project, we have treated three different thermal stress problems of multilayered laminated composite materials with metal matrix. One of them is concerned with thermal bending problem of multi-layered laminated beam, and another ones are thermoelastic behaviors of cross-ply or angle-ply laminated composite slab and thermal stress problems of multi-layered hollow circular cylinder. The research project obtained some excellent results and we can summarize as follows.W. we have developed theoretical analysis for the problem of multi-layered laminated hollow cylinder under the three different thermal conditions. One of which is plane axisymmetric problem due to uniformly distributed heat supply from the outer and inner surfaces. Second one is plane asymmetric problem due to non-uniform heat supply … More with respect to the circumferential direction from the both surfaces, and the last one is the three-dimensional axisymmetric problem due to non-uniform heat supply with respect to the axial direction. And then, we have carried out the numerical calculations for the abovementioned three cases. The numerical results obtained show some interesting and characteristic thermoelastic behaviors for the metal matrix laminated composite. Moreover, as one of the approximated method, we have successfully adapted the analytical results for the multi-layered laminated composite cylinder into the problem of the hollow cylinder of non-homogeneous materials, and carried out the numerical calculations, and evaluated the effect of the thermal stress relaxation characters for such non-homogeneous materials. 2. We have treated the thermoelastic behaviors of infinitely long cross-ply or angle-ply laminate composite slab under the thermal conditions of symmetric or non-symmetric heat supply from the upper and lower surfaces, and examined the effect of ply angle of the slab and orthotropic material properties affected on the thermal deformations and the thermal stress distributions of the slab. Less