Preliminary Methods for Modeling Stress-Strain Curves of Human Ribs from Structural Dynamic

It is important to understand and quantify rib behavior in dynamic impacts because thorax injuries are common in motor vehicle crashes and have a high incidence of morbidity and mortality. The goal of this research was to develop a preliminary method to calculate stress and stress-strain curves for which a quantitative model could be used to identify material properties from structural rib tests. Dynamic bending experiments were successfully conducted on 30 whole, mid-level, excised ribs affixed with uniaxial strain gages. A custom MATLAB code was created to calculate stress based on precise cross-sectional geometry at the fracture location. In combination with the strain data, stress-strain curves were created, and a continuous piecewise model was successfully developed to characterize each curve. This model was based on multiple parameters that were used to describe the linear elastic and plastic portion of the stress-strain curve. The model revealed an excellent fit for the stress-strain curves with R 2 values ranging from 0.985 - 0.999. Because of the high degree of fit, material properties were extracted directly from the model. Elastic modulus values were overestimated by the model and future work is needed to obtain more accurate results. This model seeks to provide a new method of extracting specific material parameters that could be applied to a large, existing experimental rib fracture data set.

[1]  R. Roark,et al.  Roark's Formulas for Stress and Strain , 2020 .

[2]  A. Kemper,et al.  Effects of sex, age, and two loading rates on the tensile material properties of human rib cortical bone. , 2020, Journal of the mechanical behavior of biomedical materials.

[3]  Michelle Y. Kim,et al.  Chest Trauma: Current Recommendations for Rib Fractures, Pneumothorax, and Other Injuries , 2020, Current Anesthesiology Reports.

[4]  A. Kemper,et al.  Detailed subject-specific FE rib modeling for fracture prediction , 2019, Traffic injury prevention.

[5]  Victoria M. Dominguez,et al.  The use of ROI overlays and a semi-automated method for measuring cortical area in ImageJ for histological analysis. , 2018, American journal of physical anthropology.

[6]  Victoria M. Dominguez,et al.  Sources of Variability in Structural Bending Response of Pediatric and Adult Human Ribs in Dynamic Frontal Impacts. , 2018, Stapp car crash journal.

[7]  Brian A. Derstine,et al.  Measuring rib cortical bone thickness and cross section from CT , 2018, Medical Image Anal..

[8]  K. Moorhouse,et al.  Rib Geometry Explains Variation in Dynamic Structural Response: Potential Implications for Frontal Impact Fracture Risk , 2017, Annals of Biomedical Engineering.

[9]  James B Grotberg,et al.  Modeling female and male rib geometry with logarithmic spirals. , 2016, Journal of biomechanics.

[10]  King H. Yang,et al.  Characterization of Human Rib Biomechanical Responses due to Three-Point Bending. , 2015, Stapp car crash journal.

[11]  Carlos Arregui-Dalmases,et al.  Tensile material properties of human rib cortical bone under quasi-static and dynamic failure loading and inuence of the bone microstucture on failure characteristics , 2011, 1108.0390.

[12]  R. Kent,et al.  Biomechanical Response of Ribs Under Quasistatic Frontal Loading , 2011, Traffic injury prevention.

[13]  Ola Bostrom,et al.  Fatality risk and the presence of rib fractures. , 2008, Annals of advances in automotive medicine. Association for the Advancement of Automotive Medicine. Annual Scientific Conference.

[14]  Cejun Liu,et al.  Characteristics of Crash Injuries Among Young, Middle-Aged, and Older Drivers , 2007 .

[15]  Laura J. Freeman,et al.  The biomechanics of human ribs: material and structural properties from dynamic tension and bending tests. , 2007, Stapp car crash journal.

[16]  Xavier Trosseille,et al.  Characterization of PMHS Ribs: A New Test Methodology. , 2005, Stapp car crash journal.

[17]  Joel D Stitzel,et al.  Material properties of human rib cortical bone from dynamic tension coupon testing. , 2005, Stapp car crash journal.

[18]  Joel D. Stitzel,et al.  Non-Censored Rib Fracture Data from Dynamic Belt Loading Tests on the Human Cadaver Thorax , 2005 .

[19]  Joel D Stitzel,et al.  Defining regional variation in the material properties of human rib cortical bone and its effect on fracture prediction. , 2003, Stapp car crash journal.

[20]  D. Perrin,et al.  Mechanisms and management of stress fractures in physically active persons. , 2002, Journal of athletic training.

[21]  N Yoganandan,et al.  Biomechanics of human thoracic ribs. , 1998, Journal of biomechanical engineering.

[22]  Vaughan R. Pratt,et al.  Direct least-squares fitting of algebraic surfaces , 1987, SIGGRAPH.

[23]  B. F. Chatterjee,et al.  Abbreviated Injury Scale , 1983 .

[24]  C. Got,et al.  Proposal for a Thorax Tolerance Level in Side Impacts Based on 62 Tests Performed With Cadavers Having Known Bone Condition , 1982 .

[25]  I. Stein,et al.  Rib structure and bending strength: An autopsy study , 1976, Calcified Tissue Research.

[26]  I. Stein,et al.  Human ribs: static testing as a promising medical application. , 1973, Journal of biomechanics.

[27]  D. L. McLellan Constitutive equations for mechanical properties of structural materials. , 1967 .

[28]  Yun-Seok Kang,et al.  A comparison of rib structural and material properties from matched whole rib bending and tension coupon tests , 2017 .

[29]  Victoria M. Dominguez,et al.  Bone Area vs Cortical Area: Considering Intracortical Porosity When Predicting Rib Structural Properties , 2016 .

[30]  Yun-Seok Kang,et al.  The effect of age on the structural properties of human ribs. , 2015, Journal of the mechanical behavior of biomedical materials.

[31]  W. Sinz,et al.  Methodology to predict thresholds for loading corridors of human ribs , 2010 .

[32]  Joel D Stitzel,et al.  Regional variation in the structural response and geometrical properties of human ribs. , 2005, Annual proceedings. Association for the Advancement of Automotive Medicine.