کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
778365 1464085 2014 9 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Introducing objective power law rate dependence into a visco-elastic material model of bovine cortical bone
ترجمه فارسی عنوان
معرفی وابستگی نرخ حق الزحمه ی هدف به یک مدل مواد الاستیک کششی از استخوان کورتونی گاو
کلمات کلیدی
مدل سازمانی، ویسکو الاستیسیته، حساسیت نرخ تنش غیر خطی، تغییر شکل قاب، استخوان کورتیک
موضوعات مرتبط
مهندسی و علوم پایه سایر رشته های مهندسی مهندسی مکانیک
چکیده انگلیسی


• We characterize the strain rate dependent dynamic compression of cortical bone from bovine femurs.
• The stress in cortical bone during dynamic compression has a power law dependency on strain rate.
• We present an invariant 3-D model by which power law strain rate dependence can be calculated.

The strain rate dependent behaviour of some visco-elastic materials can be modelled accurately in 1-D by including a stress contribution which depends non-linearly on strain rate. A visco-elastic model by Shim et al. (2005) [3] comprises a Voigt and Maxwell element in parallel and provides an effective representation of cancellous bone from the human cervical spine. The present study demonstrates that the model by Shim et al. is also suitable for modelling the strain rate dependent compression of cortical bone from bovine femurs. Shim et al. found that the model requires a Voigt dash-pot contribution which is proportional to ε˙1/2 in order to model specimen response accurately over a large range of strain rates. Shim et al. proposed an expansion of the 1-D formulation to 3-D where the 1-D strain rate is replaced with a function of the strain rate tensor. This paper provides a frame invariant version of the model by Shim et al. which allows general power law rate dependence for the 3-D case. The response of the model is investigated under a load condition which comprises of an axial deformation and a shear twist. The model is implemented in a commercial finite element package and is used to simulate quasi-static and dynamic bovine bone compression experiments.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: International Journal of Impact Engineering - Volume 66, April 2014, Pages 28–36
نویسندگان
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