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A numerical study of crack interactions under thermo-mechanical load using EFGM

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Abstract

In this work, element free Galerkin method (EFGM) has been used to obtain the solution of various edge crack problems under thermo-mechanical loads as it provides a versatile technique to model stationary as well as moving crack problems without re-meshing. Standard diffraction criterion has been modified with multiple crack weight technique to characterize the presence of various cracks in the domain of influence of a particular node. The effect of crack inclination has been studied for single as well as two edge cracks, whereas the cracks interaction has been studied for two edge cracks lying on same as well as opposite edges under plane stress conditions. The values of mode-I and mode-II stress intensity factors have been evaluated by the interaction integral approach.

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Correspondence to I. V. Singh.

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This paper was recommended for publication in revised form by Associate Editor Seong Beom Lee

Mohit Pant received his B. Tech. in Mechanical Engineering from Uttar Pradesh Technical University, Lucknow, India in 2004. He received his M. Tech in Design & Production Engineering from Govind Ballab Pant University of Agriculture and Technology, Pantnagar, India in 2006 and his PhD from Indian Institute of Technology, Roorkee, India in 2010. His research interests include computational fracture mechanics and meshfree methods.

Indra Vir Singh is working as an Assistant Professor in the Department of Mechanical and Industrial Engineering, Indian Institute of Technology Roorkee, India since 2007. He received his B.Tech. Degree in Mechanical from AMU Aligarh, India in 1996, M.Tech. in Applied Mechanics from IIT Delhi, India in 1998, and Ph.D. in Meshfree Methods from BITS Pilani, India in 2004. He has more than 10 years of Teaching and Research Experience. He has more than 80 research articles in various Journals and Conferences. His research interests include FEM, XFEM, Meshfree Methods, Elasto-Plastic Simulations, Fracture and Fatigue.

B. K. Mishra is presently working as a Professor in the Department of Mechanical and Industrial Engineering, Indian Institute of Technology Roorkee, India. He received his B.Tech. Degree in Mechanical Engg. from BHU Vanarasi, India in 1982, M.Tech. in Mechanical Engg. from IIT Kanpur, India in 1985, and Ph.D. in Mechanical Engg. from BHU Varanasi, India in 1990. He has more than 20 years of Teaching and Research Experience. He has about 100 research articles in various Journals and Conferences. His research interests include FEM, XFEM, Fracture, Fatigue and Vibrations.

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Pant, M., Singh, I.V. & Mishra, B.K. A numerical study of crack interactions under thermo-mechanical load using EFGM. J Mech Sci Technol 25, 403–413 (2011). https://doi.org/10.1007/s12206-010-1217-3

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  • DOI: https://doi.org/10.1007/s12206-010-1217-3

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