Numerical approximation of plane deformation for the indentation of granular material by a smooth rigid wedge punch

In this paper, a numerical approximation of the stress equation for the indentation of granular materials by a smooth rigid wedge is presented. Plane strain conditions are assumed, and the materials obey the Mohr-Coulomb yield condition. This method determines the deformation of granular material un...

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Main Authors: Syafikah, Ayob, Nor Alisa, Mohd Damanhuri
Format: Article
Language:en
Published: Horizon Research Publishing 2019
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Online Access:http://umpir.ump.edu.my/id/eprint/27366/1/Numerical%20approximation%20of%20plane%20deformation%20for%20the%20indentation.pdf
http://umpir.ump.edu.my/id/eprint/27366/
https://doi.org/10.13189/ujme.2019.070404
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author Syafikah, Ayob
Nor Alisa, Mohd Damanhuri
author_facet Syafikah, Ayob
Nor Alisa, Mohd Damanhuri
author_sort Syafikah, Ayob
building UMPSA Library
collection Institutional Repository
content_provider Universiti Malaysia Pahang Al-Sultan Abdullah
content_source UMPSA Institutional Repository
continent Asia
country Malaysia
description In this paper, a numerical approximation of the stress equation for the indentation of granular materials by a smooth rigid wedge is presented. Plane strain conditions are assumed, and the materials obey the Mohr-Coulomb yield condition. This method determines the deformation of granular material under a smooth rigid wedge punch and construction of stress field in the deforming region which are presented by using MATLAB programme. The granular material is assumed to be in dense, solid like state. The solution only refers to the initial motion after the punch. This was then applied on one type of boundary value problem. By using MATLAB, the value of each point (x,y) and the stress variables (p,ψ) which construct the deformation field are calculated. This method provides simple and reliable algorithms for the solution of the deformation problems involving the stress variables. The results will consequently help in the improvement of the existing labs and experimental facilities in the industries and will eventually increase its efficiency.
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spelling my.ump.umpir.273662020-02-26T08:40:27Z http://umpir.ump.edu.my/id/eprint/27366/ Numerical approximation of plane deformation for the indentation of granular material by a smooth rigid wedge punch Syafikah, Ayob Nor Alisa, Mohd Damanhuri QA Mathematics QD Chemistry TA Engineering (General). Civil engineering (General) In this paper, a numerical approximation of the stress equation for the indentation of granular materials by a smooth rigid wedge is presented. Plane strain conditions are assumed, and the materials obey the Mohr-Coulomb yield condition. This method determines the deformation of granular material under a smooth rigid wedge punch and construction of stress field in the deforming region which are presented by using MATLAB programme. The granular material is assumed to be in dense, solid like state. The solution only refers to the initial motion after the punch. This was then applied on one type of boundary value problem. By using MATLAB, the value of each point (x,y) and the stress variables (p,ψ) which construct the deformation field are calculated. This method provides simple and reliable algorithms for the solution of the deformation problems involving the stress variables. The results will consequently help in the improvement of the existing labs and experimental facilities in the industries and will eventually increase its efficiency. Horizon Research Publishing 2019 Article PeerReviewed pdf en cc_by http://umpir.ump.edu.my/id/eprint/27366/1/Numerical%20approximation%20of%20plane%20deformation%20for%20the%20indentation.pdf Syafikah, Ayob and Nor Alisa, Mohd Damanhuri (2019) Numerical approximation of plane deformation for the indentation of granular material by a smooth rigid wedge punch. Universal Journal of Mechanical Engineering, 7 (4). pp. 166-171. ISSN 2332-3353. (Published) https://doi.org/10.13189/ujme.2019.070404 https://doi.org/10.13189/ujme.2019.070404
spellingShingle QA Mathematics
QD Chemistry
TA Engineering (General). Civil engineering (General)
Syafikah, Ayob
Nor Alisa, Mohd Damanhuri
Numerical approximation of plane deformation for the indentation of granular material by a smooth rigid wedge punch
title Numerical approximation of plane deformation for the indentation of granular material by a smooth rigid wedge punch
title_full Numerical approximation of plane deformation for the indentation of granular material by a smooth rigid wedge punch
title_fullStr Numerical approximation of plane deformation for the indentation of granular material by a smooth rigid wedge punch
title_full_unstemmed Numerical approximation of plane deformation for the indentation of granular material by a smooth rigid wedge punch
title_short Numerical approximation of plane deformation for the indentation of granular material by a smooth rigid wedge punch
title_sort numerical approximation of plane deformation for the indentation of granular material by a smooth rigid wedge punch
topic QA Mathematics
QD Chemistry
TA Engineering (General). Civil engineering (General)
url http://umpir.ump.edu.my/id/eprint/27366/1/Numerical%20approximation%20of%20plane%20deformation%20for%20the%20indentation.pdf
http://umpir.ump.edu.my/id/eprint/27366/
https://doi.org/10.13189/ujme.2019.070404
https://doi.org/10.13189/ujme.2019.070404
url_provider http://umpir.ump.edu.my/