Nonlinear, Large Deformation Finite-Element Beam/Column Formulation for the Study of the Human Spine: Investigation of the Role of Muscle on Spine Stability

Abstract

A nonlinear, large deformation beam/column formulation is used to model the behavior of the human spine under compressive load. The stabilizing roles of muscles are accounted for using Patwardhan's assumption that muscles act to direct the load along the tangent of the column. Three aspects of the spinal structure are then investigated. First, we look at the effects of two different assumptions for the action of muscles, leading to significant differences in the spine behavior. Second, the difference in mechanical properties between the vertebrae and the spinal disks is explored. Third, a nonlinear mechanical response of the spinal disk that arises from a two-step hierarchical homogenization technique is used. It is found that these factors have an important influence on the overall behavior of the spine structure. The present formulation offers a versatile model to investigate various features of the human spine, while remaining affordable computationally. It also provides an interesting framework for future multiscale studies of the human spine.

Finite element investigation osteoporotic lumbar L1 vertebra buckling in a presence of torsional load

“…One out of three women, and one out of six men of age 50 and older, suffer from fractures caused by osteoporosis [1], [2]. Vertebral compression fractures can cause a pain and can permanently alter the shape and strength of the spine [3], [4]. Currently, osteoporotic fractures represent major cause of disability, loss of quality of life and even death amongst an elderly population [1].…”

Nonlinear finite element analysis of three‐dimensional free and harmonically forced vibrations of stranded conductor cables

“…Although the work is inspired by and applied to the study of electrical conductors commonly used in the power industry, the models developed herein can be naturally extended to the analysis of a broader class of cable applications, such as suspension bridges and ocean mooring systems. Furthermore, similar models have recently been considered for applications in the fields of robotics and biomedical engineering .…”