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Please use this identifier to cite or link to this item: http://repository.iitr.ac.in/handle/123456789/10888
Title: A two-scale stochastic framework for predicting failure strength probability of heterogeneous materials
Authors: Bansal M.
Singh, Indra Vir
Mishra, B. K.
Sharma K.
Khan I.A.
Published in: Composite Structures
Abstract: In the present study, a two-scale stochastic framework has been proposed for predicting the failure strength probability of heterogeneous materials. The analysis at both scales (meso and macro) is performed under plane stress condition. The meso-scale analysis is performed by XFEM whereas the macro-scale analysis is performed by FEM. The heterogeneities (pores and reinforced particles) are considered at meso-scale. The effect of shape, size, clustering and volume fraction of heterogeneities is analyzed at meso-scale. A new scheme is developed for modeling the arbitrary shape heterogeneities using periodic B-splines. An adaptive hanging node mesh refinement technique is employed to reduce the computational cost. Maximum principal stress failure criterion has been implemented for modeling both tensile and compressive behaviors at meso-scale. The volume fraction of pores and reinforcement particles is distributed stochastically to the elements at macro-scale. The average volume fraction of the pores is taken as 8%, 10%, 12% and 14% whereas the average volume fraction of the reinforced particles is kept constant at 20%. The statistical analysis of numerical data is performed through normal and Weibull distribution fits. K-S goodness of fit predicts that the numerical data is better fitted by the normal distribution. © 2017 Elsevier Ltd
Citation: Composite Structures (2017), 179(): 294-325
URI: https://doi.org/10.1016/j.compstruct.2017.07.044
http://repository.iitr.ac.in/handle/123456789/10888
Issue Date: 2017
Publisher: Elsevier Ltd
Keywords: Adaptive hanging node
Arbitrary shape heterogeneities
Compressive strength
Elastic modulus
Stochastic analysis
Tensile strength
XFEM
ISSN: 2638223
Author Scopus IDs: 55531336500
57204061377
55578538300
16234476200
56003932700
Author Affiliations: Bansal, M., Department of Mechanical and Industrial Engineering, Indian Institute of Technology Roorkee, Roorkee, Uttarakhand 247667, India
Singh, I.V., Department of Mechanical and Industrial Engineering, Indian Institute of Technology Roorkee, Roorkee, Uttarakhand 247667, India
Mishra, B.K., Department of Mechanical and Industrial Engineering, Indian Institute of Technology Roorkee, Roorkee, Uttarakhand 247667, India
Sharma, K., Reactor Structures Section, Reactor Safety Division, BARC, Mumbai, India
Khan, I.A., Reactor Structures Section, Reactor Safety Division, BARC, Mumbai, India
Corresponding Author: Singh, I.V.; Department of Mechanical and Industrial Engineering, Indian Institute of Technology RoorkeeIndia; email: indrafme@iitr.ac.in
Appears in Collections:Journal Publications [ME]

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