The quartic piecewise-linear criterion for the multiaxial yield behavior of human trabecular bone. 2015

Arnav Sanyal, and Joanna Scheffelin, and Tony M Keaveny

Prior multiaxial strength studies on trabecular bone have either not addressed large variations in bone volume fraction and microarchitecture, or have not addressed the full range of multiaxial stress states. Addressing these limitations, we utilized micro-computed tomography (lCT) based nonlinear finite element analysis to investigate the complete 3D multiaxial failure behavior of ten specimens (5mm cube) of human trabecular bone, taken from three anatomic sites and spanning a wide range of bone volume fraction (0.09–0.36),mechanical anisotropy (range of E3/E1¼3.0–12.0), and microarchitecture. We found that most of the observed variation in multiaxial strength behavior could be accounted for by normalizing the multiaxial strength by specimen-specific values of uniaxial strength (tension,compression in the longitudinal and transverse directions). Scatter between specimens was reduced further when the normalized multiaxial strength was described in strain space.The resulting multiaxial failure envelope in this normalized-strain space had a rectangular boxlike shape for normal–normal loading and either a rhomboidal box like shape or a triangular shape for normal-shear loading, depending on the loading direction. The finite element data were well described by a single quartic yield criterion in the 6D normalized strain space combined with a piecewise linear yield criterion in two planes for normalshear loading (mean error SD: 4.660.8% for the finite element data versus the criterion).This multiaxial yield criterion in normalized-strain space can be used to describe the complete 3D multiaxial failure behavior of human trabecular bone across a wide range of bone volume fraction, mechanical anisotropy, and microarchitecture.

UI MeSH Term Description Entries
D008297 Male Males
D008422 Materials Testing The testing of materials and devices, especially those used for PROSTHESES AND IMPLANTS; SUTURES; TISSUE ADHESIVES; etc., for hardness, strength, durability, safety, efficacy, and biocompatibility. Biocompatibility Testing,Biocompatible Materials Testing,Hemocompatibility Testing,Testing, Biocompatible Materials,Testing, Hemocompatible Materials,Hemocompatibility Testings,Hemocompatible Materials Testing,Materials Testing, Biocompatible,Materials Testing, Hemocompatible,Testing, Biocompatibility,Testing, Hemocompatibility,Testing, Materials,Testings, Biocompatibility
D008875 Middle Aged An adult aged 45 - 64 years. Middle Age
D009929 Organ Size The measurement of an organ in volume, mass, or heaviness. Organ Volume,Organ Weight,Size, Organ,Weight, Organ
D001842 Bone and Bones A specialized CONNECTIVE TISSUE that is the main constituent of the SKELETON. The principal cellular component of bone is comprised of OSTEOBLASTS; OSTEOCYTES; and OSTEOCLASTS, while FIBRILLAR COLLAGENS and hydroxyapatite crystals form the BONE MATRIX. Bone Tissue,Bone and Bone,Bone,Bones,Bones and Bone,Bones and Bone Tissue,Bony Apophyses,Bony Apophysis,Condyle,Apophyses, Bony,Apophysis, Bony,Bone Tissues,Condyles,Tissue, Bone,Tissues, Bone
D005260 Female Females
D006801 Humans Members of the species Homo sapiens. Homo sapiens,Man (Taxonomy),Human,Man, Modern,Modern Man
D000368 Aged A person 65 years of age or older. For a person older than 79 years, AGED, 80 AND OVER is available. Elderly
D013314 Stress, Mechanical A purely physical condition which exists within any material because of strain or deformation by external forces or by non-uniform thermal expansion; expressed quantitatively in units of force per unit area. Mechanical Stress,Mechanical Stresses,Stresses, Mechanical
D016014 Linear Models Statistical models in which the value of a parameter for a given value of a factor is assumed to be equal to a + bx, where a and b are constants. The models predict a linear regression. Linear Regression,Log-Linear Models,Models, Linear,Linear Model,Linear Regressions,Log Linear Models,Log-Linear Model,Model, Linear,Model, Log-Linear,Models, Log-Linear,Regression, Linear,Regressions, Linear

Related Publications

Arnav Sanyal, and Joanna Scheffelin, and Tony M Keaveny
December 2004, Journal of biomechanical engineering,
Arnav Sanyal, and Joanna Scheffelin, and Tony M Keaveny
February 1999, Journal of biomechanical engineering,
Arnav Sanyal, and Joanna Scheffelin, and Tony M Keaveny
July 1998, Journal of biomechanics,
Arnav Sanyal, and Joanna Scheffelin, and Tony M Keaveny
January 1983, Journal of biomechanics,
Arnav Sanyal, and Joanna Scheffelin, and Tony M Keaveny
January 2017, Artificial intelligence in medicine,
Arnav Sanyal, and Joanna Scheffelin, and Tony M Keaveny
February 2013, International journal for numerical methods in biomedical engineering,
Arnav Sanyal, and Joanna Scheffelin, and Tony M Keaveny
October 2012, Journal of biomechanics,
Arnav Sanyal, and Joanna Scheffelin, and Tony M Keaveny
March 2015, Bone,
Arnav Sanyal, and Joanna Scheffelin, and Tony M Keaveny
January 2006, Journal of biomechanics,
Arnav Sanyal, and Joanna Scheffelin, and Tony M Keaveny
May 1999, Journal of orthopaedic research : official publication of the Orthopaedic Research Society,
Copied contents to your clipboard!