本文以三維彈性力學理論為基礎，藉由微擾法推導出複合圓錐層殼之CST-type三維漸近解析理論，進行異向性複合圓錐層殼受熱場作用下之熱應力分析。
CST-type三維漸近解析理論是將三維彈性力學方程式予以重新組合，以位移場及橫向應力場為主要變數，消去平面應力場；將基本方程作適當之無因次化並對場量變數漸近展開。經上述變換後三維彈性方程式可分離出不同階數且層次分明之微分控制方程組；利用遞迴方式，循序的將各微分方程式沿厚度方向進行連續積分，可推導得各階位移及應力之二維控制方程式。由低階微分方程求得之各場場量，為高階微分方程之求解依據，如此逐階循環修正即可求得收斂之精確解。其中傳統古典理論即為此漸近理論之首階近似解。
文中配合廣義微分近似數值法，引用正規化條件，將中曲面模態位移場正規化，使所求得之各階場量皆為唯一解；並由三維漸近解評估古典殼理論與一階剪力變形理論在複合圓錐層殼熱應力分析之適用性。

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