CAJ | 학술논문

考虑横法向热变形，建议了 C0型Reddy理论，并用于分析复合材料层合／夹层板热膨胀问题。虽然考虑了横法向热应变，但不增加额外的位移变量。此理论位移场不含有横向位移一阶导数，构造有限元时仅需 C0插值函数。基于这一模型，运用虚位移原理推导了复合材料板平衡方程以及构造了6节点三角形板单元，并分析了简支复合材料层合／夹层板的热膨胀问题。数值结果表明，建立的模型能准确分析复合材料层合／夹层板热膨胀问题，而忽略横法向热应变的理论分析热膨胀问题误差较大。
고필횡법향열변형，건의료 C0형Reddy이론，병용우분석복합재료층합／협층판열팽창문제。수연고필료횡법향열응변，단불증가액외적위이변량。차이론위이장불함유횡향위이일계도수，구조유한원시부수 C0삽치함수。기우저일모형，운용허위이원리추도료복합재료판평형방정이급구조료6절점삼각형판단원，병분석료간지복합재료층합／협층판적열팽창문제。수치결과표명，건립적모형능준학분석복합재료층합／협층판열팽창문제，이홀략횡법향열응변적이론분석열팽창문제오차교대。
By considering transverse normal thermal deformation ,this paper proposed a C0‐type Reddy theory ,which is used to analyze thermal expansion problems of laminated composite and sandwich plates .Although transverse normal thermal strain was taken into account ,displacement variables are not increased .The first derivatives of transverse displacement have been removed from displacement field of the proposed model ,so that the C0 interpolation functions are only required for the finite element imple‐mentation .Based on the proposed model ,the equilibrium equations are obtained by using the principle of virtual displacements .Moreover ,a six‐node triangular element is constructed to analyze thermal expan‐sion problems of simply‐supported laminated composite and sandwich plates .Numerical results show that the proposed model can produce accurate response of laminated composite and sandwich plates under temperature loads ,w hereas the models neglecting transverse normal strain are less accurate .