Three-Dimensional Fracture Properties of the Florida Manatee Rib Bone Jeff Leismer, MEngg Mechanical...
1
Three-Dimensional Fracture Properties of the Florida Manatee Rib Bone Jeff Leismer, MEngg Mechanical & Aerospace Engineering Department, University of Florida, Gainesville, FL Three-Dimensional Fracture Properties of the Florida Manatee Rib Bone Jeff Leismer, MEngg Mechanical & Aerospace Engineering Department, University of Florida, Gainesville, FL Testing Orthotropic Material Properties -Six experiments are run, each with the application of only a single component of stress -From the measured strain, we can calculate all of the orthotropic elastic constants (i.e., material properties) S Hooke’s Law S 1 E1 12 E1 13 E1 0 0 0 12 E2 1 E2 23 E2 0 0 0 13 E3 23 E3 1 E3 0 0 0 0 0 0 1 G23 0 0 0 0 0 0 1 G13 0 0 0 0 0 0 1 G12 Orthotropic Compliance Matrix 1 2 3 4 5 6 1 E1 1 12 E2 2 13 E3 3 12 E1 1 1 E2 2 23 E3 3 13 E1 1 23 E2 2 1 E3 3 1 G23 4 1 G13 5 1 G12 6 Resulting Strains Due to Applied Stresses Material Properties E=Elastic Modulus =Poisson’s Ratio G=Shear Modulus Elastic Moduli & Poisson’s Ratios E 1 , E 2 , E 3 , 23 , 13 , 12 Shear Moduli G 23 , G 13 , G 12 Stress Intensity Factors, Fracture Toughness 1) K I , K II , K III , K IC 2) K I , K II , K III , K IC 3) K I , K II , K III , K IC crack tip Specimens Measured Properties Tests Tensio n Torsio n Compac t Tensio Aims -Characterize manatee rib bone material properties -Determine anisotropic fracture properties -Predict the anisotropic stress intensity factors (KI,KII,KIII) using finite element methods and fracture analysis software Introduction -25% of all manatees die as a result of collisions with watercraft -Reducing boat speed in manatee zones can greatly reduce the energy of impact in the event of a collision -University of Florida researchers previously correlated the energy associated with traveling at various speeds in a small boat to the energy required to fracture manatee bone -One of the goals of my dissertation work is to build on this information to further reinforce speed restrictions in manatee zones so that this docile creature can remain in existence for future generations to admire Computational Fracture Analysis -CTODs from FEA are used to determine the 3D anisotropic stress intensity factors in a specimen -Numerical results are compared with those from experiment to determine the predictive capacity of the model for fracture analyses Visual Image Correlation (VIC) -Two cameras take simultaneous pictures of a specimen as it is loaded -Correlation software maps the specimen surfaces from the images to digitized 3D space -Images of the loaded specimen are used to digitally measure deformations relative the reference photo of the undeformed specimen Finite Element Analysis (FEA) -FEA is a computational tool that divides representative domains (e.g., structures) into subdomains, called finite elements -The finite element method provides a systematic method for approximating the domain’s response to outside perturbations -Here., FEA is used to calculate crack-tip opening displacements (CTODs) in pre-cracked specimens subjected to loading Conclusions -Comparison of experimental and FEA results can help identify the contribution of internal structural artifacts to fracture resistance -This analysis will provide insight into the way that manatee bone fractures and thus will assist in determining risk potential for bone 2006 University of Florida Graduate Student Council Forum
-
Upload
godfrey-patterson -
Category
Documents
-
view
215 -
download
0
Transcript of Three-Dimensional Fracture Properties of the Florida Manatee Rib Bone Jeff Leismer, MEngg Mechanical...
Three-Dimensional Fracture Properties of the Florida Manatee Rib BoneJeff Leismer, MEngg
Mechanical & Aerospace Engineering Department, University of Florida, Gainesville, FL
Three-Dimensional Fracture Properties of the Florida Manatee Rib BoneJeff Leismer, MEngg
Mechanical & Aerospace Engineering Department, University of Florida, Gainesville, FL
Testing Orthotropic Material Properties-Six experiments are run, each with the application of only a single component of stress-From the measured strain, we can calculate all of the orthotropic elastic constants (i.e., material properties)
S
Hooke’s Law
S
1
E1
12E1
13E1
0
0
0
12E2
1
E2
23E2
0
0
0
13E3
23E3
1
E3
0
0
0
0
0
0
1
G23
0
0
0
0
0
0
1
G13
0
0
0
0
0
0
1
G12
Orthotropic Compliance Matrix
1
2
3
4
5
6
1
E11
12
E22
13
E33
12E1
11
E22
23
E33
13E1
123
E22
1
E33
1
G234
1
G135
1
G126
Resulting Strains Due to Applied Stresses
Material Properties
E=Elastic Modulus=Poisson’s RatioG=Shear Modulus
Elastic Moduli & Poisson’s RatiosE1, E2, E3, 23, 13, 12
Shear ModuliG23, G13, G12
Stress Intensity Factors,Fracture Toughness1) KI, KII, KIII, KIC
2) KI, KII, KIII, KIC
3) KI, KII, KIII, KIC
crack tip
Specimens Measured PropertiesTests
Tension
Torsion
Compact Tension
Aims-Characterize manatee rib bone material properties-Determine anisotropic fracture properties-Predict the anisotropic stress intensity factors (KI,KII,KIII) using finite element methods and fracture analysis software
Introduction-25% of all manatees die as a result of collisions with watercraft-Reducing boat speed in manatee zones can greatly reduce the energy of impact in the event of a collision-University of Florida researchers previously correlated the energy associated with traveling at various speeds in a small boat to the energy required to fracture manatee bone-One of the goals of my dissertation work is to build on this information to further reinforce speed restrictions in manatee zones so that this docile creature can remain in existence for future generations to admire
Computational Fracture Analysis-CTODs from FEA are used to determine the 3D anisotropic stress intensity factors in a specimen-Numerical results are compared with those from experiment to determine the predictive capacity of the model for fracture analyses
Visual Image Correlation (VIC)-Two cameras take simultaneous pictures of a specimen as it is loaded-Correlation software maps the specimen surfaces from the images to digitized 3D space-Images of the loaded specimen are used to digitally measure deformations relative the reference photo of the undeformed specimen
Finite Element Analysis (FEA)-FEA is a computational tool that divides representative domains (e.g., structures) into subdomains, called finite elements-The finite element method provides a systematic method for approximating the domain’s response to outside perturbations-Here., FEA is used to calculate crack-tip opening displacements (CTODs) in pre-cracked specimens subjected to loading
Conclusions-Comparison of experimental and FEA results can help identify the contribution of internal structural artifacts to fracture resistance-This analysis will provide insight into the way that manatee bone fractures and thus will assist in determining risk potential for bone fracture in the Florida manatee
2006 University of Florida Graduate Student Council Forum
