Contact Stress Analysis of an Elastic Solid with Multiple Inclusions

[[abstract]]本論文主要建立有限元素模型，分析二維平面應變赫茲接觸問題。討論彈性體受到赫茲接觸應力後的應力分佈，並將?值分析結果與解析解比對，以確認分析流程正確性。藉由應力分佈討論平面體邊界尺寸大小是否滿足半無限域的條件，可以彈性體取代半無限域分析。並討論彈性體受到向下壓應力後的應力分量。 接著探討含有多個異質材料之彈性體受到赫茲接觸應力後，其表面下應力分佈情形。以有限元素分析軟體ANSYS建立接觸表面下含兩個異質材料之彈性體模型，經過有限元素法分析，討論不同材料常?之異質材料對應力分佈之影響。[[abstract]]The research is mainly about establishing a finite element model and analyzing the issue of 2-D plane strain Hertz contact problems. Discuss the stress distribution of elastic body under Hertz contact and check with analytical solutions; then, discuss the stress direction. Moreover, make sure if the dimension of elastic body could replace the half-space. Next, study the subsurface stress distribution as well as that of different depth. Furthermore, study the subsurface stress distribution status of the elastic body which has multiple inclusions under Hertz contact. Set an elastic body model subsurface with two inclusions by the finite element analysis software ANSYS. After proceeding finite element analysis, discuss the influence of inclusions of different elastic modulus against the same depth of stress distribution as well as that of different depth.[[note]]碩