A computational method for stress analysis of adaptive elastic materials with a view toward applications in strain-induced bone remodeling

Hart, R. T.; Davy, D. T.; Heiple, K. G.

Affiliations

¹Presently, Department of Biomedical Engineering, Tulane University, New Orleans, La. 70118

²Orthopaedic Engineering Laboratories, Department of Mechanical and Aerospace Engineering, Department of Orthopaedics, Case Western Reserve University, Cleveland, Ohio 44106

Abstract

A computational method has been developed to obtain numerical results in the stress analysis of adaptive elastic materials. The method is based on a 3-dimensional finite element model that can change geometry and material properties based on the local strain. The solution procedure is iterative; the model is updated in time steps based on the current remodeling to provide incremental remodeling predictions. The method provides a vehicle for examination of different continuum models and their corresponding parameters for strain-induced remodeling in long bone. Use of the method with simple models of theoretical interest is presented. Results show agreement with available analytical results as well as the importance of coupled remodeling effects not previously examined.

Links

DOI: 10.1115/1.3138503

PubMed: 6513529

WoS: A1984TU43300008

History

Received: 1982-08

Revised: 1984-05

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2019	Marques M, Belinha J, Oliveira AF, Manzanares-Céspedes MC, Jorge RN. Combining radial point interpolation meshless method with a new homogenization technique for trabecular bone multiscale structural analyses. Acta Bioeng Biomech. 2019;21(2):101-113.
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2012	Rennick JA. Bone Fracture Prediction Using Computed Tomography Based Rigidity Analysis and the Finite Element Method [Master's thesis]. Northeastern University; April 2012.
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2004	Roberts MD. Adaptation of Bone to Mechanical and Nonmechanical Stimuli: An Integrated Experimental and Computational Study [PhD thesis]. Tulane University; 2004.
2021	Kemp TD. An Inverse Interface Evolution Problem to Identify Participant-Specific Bone Microarchitecture Adaptation [Master's thesis]. Calgary, AB: University of Calgary; May 2021.
1996	Adams DJ. Mechanical Factors Initiating Appositional Bone Formation [PhD thesis]. University of Iowa; May 1996.
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2019	Spingarn C. Contribution à la biomécanique de la régénération osseuse: Modélisation, simulation et applications [PhD thesis]. Strasbourg, France: Université de Strasbourg; June 11, 2019.
2020	Mancuso ME. Defining the Multiscale Relationship Between Subject-Specific Bone Strain and Structural Adaptation in the Distal Radius of Women [PhD thesis]. Worcester, MA: Worcester Polytechnic Institute; July 2020.