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Multi-mode fracture analysis for critical crack size and life estimation of hip prosthesis using extended finite element method

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An Erratum to this article was published on 23 February 2023

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Abstract

Multi-mode fracture analysis was performed on a three-dimensional model of a prosthetic hip to determine critical crack size and life using numerical analysis. In this work, a load based on 102 Kg weighted patients on a standard human prosthetic hip was executed. During high-impact activity, 4200 N high peak load and 28.8 N-m moment was introduced on the model for the analysis. Initial crack size of 0.01 mm was modelled on the critical point of the prosthesis made of Ti-6Al-4V. Multi-mode stress intensity factors were evaluated at highly stressed regions. The critical crack size was obtained using an empirical formula for the given fracture toughness. Finally, the life of the prosthetic hip was determined by considering the Paris law of crack propagation. The life of the prosthetic hip for going downstairs high-impact activity was approximately 12 and 23 years for active and normal patients, respectively.

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Abbreviations

a 0 :

Initial crack depth

a c :

Critical crack depth

KI :

Stress intensity factor of mode I

KII :

Stress intensity factor of mode II

KIII :

Stress intensity factor of mode III

K IC :

Plain-stress fracture toughness or critical stress intensity factor

Y :

Geometric constant (2.5 for surface crack)

σ :

Induced stress without crack for given loading condition

N f :

Life of the prosthesis in cycles

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Acknowledgments

The authors are grateful to IIT (ISM) for providing ANSYS software for the analysis. The authors would like to thank the Ministry of Human Resource and Development (MHRD), India for providing financial support.

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Authors and Affiliations

  1. Department of Mechanical Engineering, Indian Institute of Technology (Indian School of Mines), Dhanbad, Jharkhand, India

    Sita Ram Modi & Kailash Jha

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  1. Sita Ram Modi
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  2. Kailash Jha
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Correspondence to Kailash Jha.

Additional information

Sita Ram Modi is a Ph.D. student in Mechanical Engineering at Indian Institute of Technology (Indian School of Mines), Dhanbad, India. He received his M.Tech. from PDPM Indian Institute of Information Technology, Design and Manufacturing, Jabalpur. Currently, he is working for the enhancement of the hip prosthesis’s life. His primary research interests include advanced manufac-turing processes, CAD/CAM, finite element analysis, fracture and fatigue analysis, biomechanics of hip joint, and incremental forming.

Kailash Jha is an Associate Professor of Mechanical Engineering at Indian Institute of Technology (Indian School of Mines), Dhanbad, India. He received a Ph.D. in extracting multiple feature interpretations and automatic propagation of feature modification from the Indian Institute of Science (IISc), Bangalore, India in 1999. His primary research interests include CAD/CAM, finite element method, curve and surface modeling/water pipe network.

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Modi, S.R., Jha, K. Multi-mode fracture analysis for critical crack size and life estimation of hip prosthesis using extended finite element method. J Mech Sci Technol 37, 1047–1053 (2023). https://doi.org/10.1007/s12206-023-0143-0

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