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Title: Element free Galerkin formulation of composite beam with longitudinal slip

Abstract

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.

Authors:
;  [1]; ;  [2]
  1. Department of Civil Engineering, Universiti Selangor, Bestari Jaya, Selangor (Malaysia)
  2. Faculty of Civil Engineering, Universiti Teknologi Malaysia, Skudai, Johor (Malaysia)
Publication Date:
OSTI Identifier:
22391674
Resource Type:
Journal Article
Journal Name:
AIP Conference Proceedings
Additional Journal Information:
Journal Volume: 1660; Journal Issue: 1; Conference: ICoMEIA 2014: International Conference on Mathematics, Engineering and Industrial Applications 2014, Penang (Malaysia), 28-30 May 2014; Other Information: (c) 2015 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 0094-243X
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; ACCURACY; ANALYTICAL SOLUTION; BOUNDARY CONDITIONS; COMPARATIVE EVALUATIONS; COMPOSITE MATERIALS; EFG METHOD; FUNCTIONS; INTERFACES; LEAST SQUARE FIT; SLIP; SURFACES; VARIATIONAL METHODS; WEIGHT

Citation Formats

Ahmad, Dzulkarnain, Mokhtaram, Mokhtazul Haizad, Badli, Mohd Iqbal, and Yassin, Airil Y. Mohd. Element free Galerkin formulation of composite beam with longitudinal slip. United States: N. p., 2015. Web. doi:10.1063/1.4915775.
Ahmad, Dzulkarnain, Mokhtaram, Mokhtazul Haizad, Badli, Mohd Iqbal, & Yassin, Airil Y. Mohd. Element free Galerkin formulation of composite beam with longitudinal slip. United States. doi:10.1063/1.4915775.
Ahmad, Dzulkarnain, Mokhtaram, Mokhtazul Haizad, Badli, Mohd Iqbal, and Yassin, Airil Y. Mohd. Fri . "Element free Galerkin formulation of composite beam with longitudinal slip". United States. doi:10.1063/1.4915775.
@article{osti_22391674,
title = {Element free Galerkin formulation of composite beam with longitudinal slip},
author = {Ahmad, Dzulkarnain and Mokhtaram, Mokhtazul Haizad and Badli, Mohd Iqbal and Yassin, Airil Y. Mohd},
abstractNote = {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.},
doi = {10.1063/1.4915775},
journal = {AIP Conference Proceedings},
issn = {0094-243X},
number = 1,
volume = 1660,
place = {United States},
year = {2015},
month = {5}
}