本篇論文屬於平滑有限元素法之一分支，並且在建立節點應變時利用節點周圍相鄰元素應變場以面積加權平均的方式求解，再將節點應變以內差函數建立一個不管元素內或是跨元素皆為連續之應變場，然後利用最小總勢能原理求解所有節點位移未知數，具體來說就是重新修正節點應變以確保整個結構系統的應變場、應力場在跨元素之間仍能保持其連續性。
首先，先推導二維連續應變之平滑有限元素法的計算流程，並且將此計算流程套用至程式語言中運算，再以色彩圖的方式呈現，接著利用程式模擬懸臂梁和平面板開孔問題，最後透過增加網格劃分的方式探討連續應變之平滑有限元素法的收斂性。

This paper belongs to one branch of the smooth finite element method. The nodal strain is solved by using the area-weighted average of the neighboring elements around the node, and then the nodal strain is established as an internal difference function in order to create a continuous strain field within or across the elements. Afterwards, using the principle of minimum total potential energy to solve the nodal displacements.Specifically, it is to re-correct the node strain to ensure that the strain field and stress field of the whole structural system can still maintain its continuity between the elements.
First, derive the calculation process of smooth finite element with two-dimensional continuous strain, and apply this calculation process to the programming language, then presented as a color map. Afterwards, we use the program to simulate the cantilever beam and a plate with circular hole problem.Finally, we increase the meshing to investigate the convergence and trend of the smooth finite element method with continuous strain.

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