Application of nonlinear viscoelastic models to describe ligament behavior.

Viscoelastic Modeling of the Recovery Behavior of Cut Pile Carpet After Static Loading: A Comparison Between Linearand Nonlinear Models

Interrelation of creep and relaxation for nonlinearly viscoelastic materials: application to ligament and metal

where J(t) is the creep compliance as it depends on time t, and E(t) is the relaxation modulus. Many constitutive models have been developed to describe the nonlinear viscoelastic behavior of materials; see Schapery (1969) and Findley et al. (1976). Models described by Johnson et al. (1996) are for large deformations and Pioletti et al. (1998) take into account the strain rate. In the present s...

Application of modified superposition model to viscoelastic behavior of periodontal ligament

The periodontal ligament (PDL) is a soft biological tissue which shows a strongly nonlinear and time dependent mechanical behavior. Recent experiments on rabbit PDL revealed that the rate of stress relaxation is strain dependent. This nonlinear behavior of PDL cannot be described well by the separable quasi linear viscoelasticity theory which is usually used in tissue biomechanics. Therefore, P...

A Mathematical Approach for Describing Time-Dependent Poisson’s Ratios of Periodontal Ligaments

Periodontal ligament is a thin layer of soft tissue that connects root of a tooth to the surrounding alveolar bone. These ligaments play an important role in initiating tooth movement when loads are applied to teeth with orthodontic appliances. The majority of such soft tissues exhibit as viscoelastic bodies or have a time-dependent behavior. Due to the viscoelastic behavior of the periodontal ...

Nonlinear Viscoelastic Behavior of Human Cervical Spine Ligaments

Introduction—Spinal ligaments play an important role in spine biomechanics. Accordingly, a precise understanding of ligament mechanical properties is requisite for accurate modeling of the local and global behavior of the spine. Spinal ligaments exhibit nonlinear stressstrain relationships and viscoelastic material behavior. Current literature on the viscoelastic response of cervical spine liga...