Element free Galerkin formulation of composite beam with longitudinal slip
Behaviour between two materials in composite beam is assumed partially interact when longitudinal slip at its interfacial surfaces is considered. Commonly analysed by the mesh-based formulation, this study used meshless formulation known as Element Free Galerkin (EFG) method in the beam partial inte...
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my.utm.592492021-08-19T04:48:59Z http://eprints.utm.my/id/eprint/59249/ Element free Galerkin formulation of composite beam with longitudinal slip Ahmad, Dzulkarnain Mokhtaram, Mokhtazul Haizad Badli, Mohd. Iqbal Mohd. Yassin, Airil Y. TA Engineering (General). Civil engineering (General) Behaviour between two materials in composite beam is assumed partially interact when longitudinal slip at its interfacial surfaces is considered. Commonly analysed by the mesh-based formulation, this study used meshless formulation known as Element Free Galerkin (EFG) method in the beam partial interaction analysis, numerically. As meshless formulation implies that the problem domain is discretised only by nodes, the EFG method is based on Moving Least Square (MLS) approach for shape functions formulation with its weak form is developed using variational method. The essential boundary conditions are enforced by Langrange multipliers. The proposed EFG formulation gives comparable results, after been verified by analytical solution, thus signify its application in partial interaction problems. Based on numerical test results, the Cubic Spline and Quartic Spline weight functions yield better accuracy for the EFG formulation, compares to other proposed weight functions. 2015 Conference or Workshop Item PeerReviewed Ahmad, Dzulkarnain and Mokhtaram, Mokhtazul Haizad and Badli, Mohd. Iqbal and Mohd. Yassin, Airil Y. (2015) Element free Galerkin formulation of composite beam with longitudinal slip. In: International Conference on Mathematics, Engineering and Industrial Applications, ICoMEIA 2014, 28 - 30 May 2014, Penang, Malaysia. http://dx.doi.org/10.1063/1.4915775 |
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TA Engineering (General). Civil engineering (General) Ahmad, Dzulkarnain Mokhtaram, Mokhtazul Haizad Badli, Mohd. Iqbal Mohd. Yassin, Airil Y. Element free Galerkin formulation of composite beam with longitudinal slip |
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Behaviour between two materials in composite beam is assumed partially interact when longitudinal slip at its interfacial surfaces is considered. Commonly analysed by the mesh-based formulation, this study used meshless formulation known as Element Free Galerkin (EFG) method in the beam partial interaction analysis, numerically. As meshless formulation implies that the problem domain is discretised only by nodes, the EFG method is based on Moving Least Square (MLS) approach for shape functions formulation with its weak form is developed using variational method. The essential boundary conditions are enforced by Langrange multipliers. The proposed EFG formulation gives comparable results, after been verified by analytical solution, thus signify its application in partial interaction problems. Based on numerical test results, the Cubic Spline and Quartic Spline weight functions yield better accuracy for the EFG formulation, compares to other proposed weight functions. |
format |
Conference or Workshop Item |
author |
Ahmad, Dzulkarnain Mokhtaram, Mokhtazul Haizad Badli, Mohd. Iqbal Mohd. Yassin, Airil Y. |
author_facet |
Ahmad, Dzulkarnain Mokhtaram, Mokhtazul Haizad Badli, Mohd. Iqbal Mohd. Yassin, Airil Y. |
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Ahmad, Dzulkarnain |
title |
Element free Galerkin formulation of composite beam with longitudinal slip |
title_short |
Element free Galerkin formulation of composite beam with longitudinal slip |
title_full |
Element free Galerkin formulation of composite beam with longitudinal slip |
title_fullStr |
Element free Galerkin formulation of composite beam with longitudinal slip |
title_full_unstemmed |
Element free Galerkin formulation of composite beam with longitudinal slip |
title_sort |
element free galerkin formulation of composite beam with longitudinal slip |
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2015 |
url |
http://eprints.utm.my/id/eprint/59249/ http://dx.doi.org/10.1063/1.4915775 |
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1709667351847239680 |
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13.18916 |