an efficient method of modeling material properties using a thermal diffusion analogy an example based on craniofacial bone一个有效的建模方法使用热扩散材料特性类比基于颅面骨的一个例子.pdfVIP
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an efficient method of modeling material properties using a thermal diffusion analogy an example based on craniofacial bone一个有效的建模方法使用热扩散材料特性类比基于颅面骨的一个例子
An Efficient Method of Modeling Material Properties
Using a Thermal Diffusion Analogy: An Example Based
on Craniofacial Bone
1 2 3 4
Julian L. Davis *, Elizabeth R. Dumont , David S. Strait , Ian R. Grosse
1 Department of Engineering, University of Southern Indiana, Evansville, Indiana, United States of America, 2 Department of Biology, University of Massachusetts Amherst,
Amherst, Massachusetts, United States of America, 3 Department of Anthropology, University at Albany, Albany, New York, United States of America, 4 Department of
Mechanical and Industrial Engineering, University of Massachusetts Amherst, Amherst, Massachusetts, United States of America
Abstract
The ability to incorporate detailed geometry into finite element models has allowed researchers to investigate the influence
of morphology on performance aspects of skeletal components. This advance has also allowed researchers to explore the
effect of different material models, ranging from simple (e.g., isotropic) to complex (e.g., orthotropic), on the response of
bone. However, bone’s complicated geometry makes it difficult to incorporate complex material models into finite element
models of bone. This difficulty is due to variation in the spatial orientation of material properties throughout bone. Our
analysis addresses this problem by taking full advantage of a finite element program’s ability to solve thermal-structural
problems. Using a linear relationship between temperature and modulus, we seeded specific nodes of the finite element
model with temperatures. We then used thermal diffusion to propagate the modulus throughout the finite element model.
Finally, we solved for the mechanical response of the finite element model to the applied loads and constraints. We found
that using the thermal diffusion analogy to control t
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