This paper presents a two-way linked computational multiscale model and its application to predict the mechanical behavior of bone subjected to viscoelastic deformation and fracture damage. The model is based on continuum thermos-mechanics and is implemented through the finite element method (FEM). Two physical length scales (the global scale of bone and local scale of compact bone) were two-way coupled in the framework by linking a homogenized global object to heterogeneous local-scale representative volume elements (RVEs). Multiscaling accounts for microstructure heterogeneity, viscoelastic deformation, and rate-dependent fracture damage at the local scale in order to predict the overall behavior of bone by using a viscoelastic cohesive zone model incorporated with a rate-dependent damage evolution law. In particular, age-related changes in material properties and geometries in bone were considered to investigate the effect of aging, loading rate, and damage evolution characteristics on the mechanical behavior of bone. The model successfully demonstrated its capability to predict the viscoelastic response and fracture damage due to different levels of aging, loading conditions (such as rates), and microscale damage evolution characteristics with only material properties of each constituent in the RVEs.
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April 2017
Research-Article
Two-Way Coupled Multiscale Model for Predicting Mechanical Behavior of Bone Subjected to Viscoelastic Deformation and Fracture Damage
Taesun You,
Taesun You
Department of Civil Engineering,
362H WHIT,
2200 Vine Street,
University of Nebraska,
Lincoln, NE 68583
e-mail: tae-sun.you@unl.edu
362H WHIT,
2200 Vine Street,
University of Nebraska,
Lincoln, NE 68583
e-mail: tae-sun.you@unl.edu
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Yong-Rak Kim,
Yong-Rak Kim
Professor
Department of Civil Engineering,
362N WHIT,
2200 Vine Street,
University of Nebraska,
Lincoln, NE 68583
e-mail: ykim3@unl.edu
Department of Civil Engineering,
362N WHIT,
2200 Vine Street,
University of Nebraska,
Lincoln, NE 68583
e-mail: ykim3@unl.edu
Search for other works by this author on:
Taehyo Park
Taehyo Park
Professor
Department of Civil and
Environmental Engineering,
Hanyang University,
Seoul 133-791, South Korea
e-mail: cepark@hanyang.ac.kr
Department of Civil and
Environmental Engineering,
Hanyang University,
Seoul 133-791, South Korea
e-mail: cepark@hanyang.ac.kr
Search for other works by this author on:
Taesun You
Department of Civil Engineering,
362H WHIT,
2200 Vine Street,
University of Nebraska,
Lincoln, NE 68583
e-mail: tae-sun.you@unl.edu
362H WHIT,
2200 Vine Street,
University of Nebraska,
Lincoln, NE 68583
e-mail: tae-sun.you@unl.edu
Yong-Rak Kim
Professor
Department of Civil Engineering,
362N WHIT,
2200 Vine Street,
University of Nebraska,
Lincoln, NE 68583
e-mail: ykim3@unl.edu
Department of Civil Engineering,
362N WHIT,
2200 Vine Street,
University of Nebraska,
Lincoln, NE 68583
e-mail: ykim3@unl.edu
Taehyo Park
Professor
Department of Civil and
Environmental Engineering,
Hanyang University,
Seoul 133-791, South Korea
e-mail: cepark@hanyang.ac.kr
Department of Civil and
Environmental Engineering,
Hanyang University,
Seoul 133-791, South Korea
e-mail: cepark@hanyang.ac.kr
1Corresponding author.
Contributed by the Materials Division of ASME for publication in the JOURNAL OF ENGINEERING MATERIALS AND TECHNOLOGY. Manuscript received June 2, 2016; final manuscript received December 5, 2016; published online February 9, 2017. Assoc. Editor: Xi Chen.
J. Eng. Mater. Technol. Apr 2017, 139(2): 021016 (8 pages)
Published Online: February 9, 2017
Article history
Received:
June 2, 2016
Revised:
December 5, 2016
Citation
You, T., Kim, Y., and Park, T. (February 9, 2017). "Two-Way Coupled Multiscale Model for Predicting Mechanical Behavior of Bone Subjected to Viscoelastic Deformation and Fracture Damage." ASME. J. Eng. Mater. Technol. April 2017; 139(2): 021016. https://doi.org/10.1115/1.4035618
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