An Adaptive-Based Finite Element Limit Analysis Approach for Geo-mechanics Problems

Mohapatra, D and Rahaman, O and Kumar, J (2020) An Adaptive-Based Finite Element Limit Analysis Approach for Geo-mechanics Problems. In: Lecture Notes in Civil Engineering, 13-15 December 2018, Bengaluru; India, pp. 1055-1065.

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Abstract

Finite element-based upper bound and lower bound limit analysis are found to be an excellent tool for solving various stability structural problems with less computational cost. The accuracy and efficiency of the obtained solution is highly dependent on the intensity of elements in the high stress or stain gradient region. Therefore, an adaptive meshing procedure is required to reduce the gap between upper and lower bound solutions. The adaptive meshing procedure presented in this paper is based on two basic concepts (a) a posterior error indicator and (b) an unstructured mesh generator. The posterior error estimator is based on intensity of maximum shear strain rate (γmax) has been used. Open-source software TRIANGLE and TETGEN have been used to generate unstructured meshes for 2D and 3D problems, respectively. A plane strain and a 3D foundation problem have been analyzed and steps involve in calculation have been clearly mentioned in the paper. The present analysis method is found to be efficient and accurate. © 2020, Springer Nature Singapore Pte Ltd.

Item Type:	Conference Paper
Publication:	Lecture Notes in Civil Engineering
Publisher:	Springer Science and Business Media Deutschland GmbH
Additional Information:	cited By 0; Conference of Indian Geotechnical Conference ,IGC 2018 ; Conference Date: 13 December 2018 Through 15 December 2018; Conference Code:250609
Keywords:	Finite element method; Mesh generation; Open source software; Open systems; Shear strain, 2d and 3d problems; Computational costs; Error estimators; Finite element limit analysis; Lower bound limit analysis; Structural problems; Unstructured meshes; Upper and lower bounds, Strain rate
Department/Centre:	Division of Mechanical Sciences > Civil Engineering
Date Deposited:	23 Dec 2020 09:30
Last Modified:	23 Dec 2020 09:30
URI:	http://eprints.iisc.ac.in/id/eprint/67217

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