與傳統有限元素法不同，本研究假設諧和的應變場進行計算，目的是為了解決傳統有限元素法求解出來的應力場及應變場會有精度不佳及不諧和的問題，而位移場由假設諧和的應變場透過積分求得，與微分會使形狀函數降低一個項次而導致精度不佳不同，積分會使形狀函數提高一個項次而有增加精度的效果，且因為是假設諧和的應變場進行計算，因此解到的應變場及應力場都會是諧和的。
　　應變有限元素法在一維梁問題中得到的分析結果都很滿意，且收斂快，但在二維平面應力問題中會有因為劃分元素方式不同而導致答案不滿意的現象，只有僅沿著特定方向劃分元素才會有較好的答案。

　　Different from the traditional finite element method, this study assumes that the harmonic strain field is calculated to solve the problem that the stress and strain fields solved by the traditional finite element method will have poor accuracy and incompatible. And the displacement field is obtained by integration.

　　Unlike differentiation, integral will increase accuracy, and because it is assumed that the compatible strain field is carried out calculation, so the strain field and stress field solved will be compatible.

　　The analysis results obtained by the strain finite element method in the one-dimensional beam problem are very satisfactory and converge quickly. However, in the two-dimensional plane stress problem, the answer is not satisfactory due to the different element division methods. Only dividing elements in specific directions will have a better answer.

【1】 王承緯，「應變有限元素法理論推導與驗證」，國立台灣科技大學營建工程研究所碩士論文，潘誠平指導，2018。
【2】 陳建銘，「假設應變場的結構分析」，國立台灣科技大學營建工程研究所碩士論文，潘誠平指導，2018。
【3】 Cook, R. D. Concepts and Applications of Finite Element Analysis, John Wiley & Sons, 2007.
【4】 Bo-nan Jiang and Jie Wu. The least-squares finite element method in elasticity. Part I: Plane stress or strain with drilling degrees of freedom.
【5】 Bo-nan Jiang. The least-squares finite element method in elasticity. Part II: Bending of thin plates.
【6】 LIU, Gui-Rong; TRUNG, Nguyen Thoi. Smoothed finite element methods. CRC press, 2016.
【7】 Martin H. Sadd. Elasticity: Theory and Applications.
【8】 James M. Gere and Stephen P. Timoshenko. Mechanics of Materials, 2002.
【9】 謝元裕，「通用結構學」，2006。