scholarly journals An Efficient Numerical Method for Calculation of Elastic and Thermo-Elastic Fields in a Homogeneous Medium with Several Heterogeneous Inclusions

2011 ◽  
Vol 01 (02) ◽  
pp. 31-43 ◽  
Author(s):  
Sergey Kanaun
Keyword(s):  
Numerical Method ◽  
Homogeneous Medium ◽  
Elastic Fields

scholarly journals Elastic Fields of a Nonhomogeneous Half-Space Subject to an Inclined Circular Load

2020 ◽  
Vol 2020 ◽  
pp. 1-10
Author(s):  
Yunyue Xie ◽  
Hongtian Xiao ◽  
Zhongqi Quentin Yue
Keyword(s):  
Numerical Method ◽  
Half Space ◽  
Elastic Solid ◽  
Finite Depth ◽  
Elastic Half Space ◽  
Elastic Parameters ◽  
Elastic Fields ◽  
Closed Form Solutions ◽  
Different Types ◽  
Circular Load

The paper examines the elastic fields of displacements and stresses for a nonhomogeneous elastic half-space where the elastic parameters have a linear variation over a finite depth beyond which it is constant. The circular loading area is subjected to a uniform inclined load. The numerical method is developed by applying the fundamental solution of a layered elastic solid and integrating numerically it over the loading area. As a result, only the loading area needs to be discretized in using the proposed numerical method. Numerical examples of calculation of displacements are conducted, and excellent agreement with the existing closed-form solutions is obtained. The results obtained are used to understand the elastic fields induced by different types of loads in a nonhomogeneous medium.

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