本文採用了移動最小功法(Moving Least Work Method)來模擬二維彈性力學的問題。移動最最小功法的特別之處是在加權殘值時，乘上其共軛的殘值量，使其產生類似功的概念，最後再經由置點的方式求解得到所有的變數。
文中模擬了懸臂梁受剪力、簡支梁受均部荷重、無限板中央裂縫受拉力及無限板中央開孔受拉力等二維彈性力學問題，經由不同的佈點方式及不同的基底階數去比較解析解以驗證此方法的可行性，並分析其誤差收斂的情形。

In this thesis, we use the moving least work method to analyze the two dimensional elasticity problems. The peculiarity of the moving least work method is the process of weighting residual value. We multiply the conjugate value of its original residual value to create the quantity which is similar to energy, and use the point collocation method at the end.
Using the present method, we simulate a cantilever beam loaded by the shear force, a simply support beam loaded by the uniform load, an infinite plate with a crack in the middle loaded by the tensile force and an infinite plate with a hole loaded by the tensile force. In these examples, we use different point distribution and different order of base functions to validate the applicability of this method, and compare the numerical results with the exact solution to examine the accuracy and the rate of convergence of this method.

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