Many constitutive theories, hyperelastic and viscoelastic have been proposed for modeling materials used in solid-phase forming processes such as thermoforming and blow molding. The phenomenological hyperelastic models were developed based purely on mathematical interpretation whereas physically base hyperelastic models were established from the formalism of macromolecular conformation as a the...

considering the nonlinear hyperelastic or viscoelastic nature of soft tissues has an important effect on modeling results. in medicalapplications, accounting nonlinearity begets an ill posed problem, due to absence of external force. myocardium can be consideredas a hyperelastic material, and variational approaches are proposed to estimate stiffness matrix, which take into account the linearand...

A. Samani, I. Sack, D. Plewes University of Toronto, Sunnybrook and Women's College Health Sciences Centre, Toronto, Ontario, Canada Synopsis To increase the displacement SNR in breast MR elastography, tissues are compressed significantly. As a result, breast tissues undergo large deformations. This leads to significant geometric and material nonlinearities. In this study, methods for treating ...

Thermo-hyperelastic problems at finite strains belong to a category of non-linear coupled problems that impose challenges on their numerical treatment. We present the weak-form for a 1-D coupled, stationary, thermo-hyperelastic system with constant or temperature-dependent material properties. The coupled system is discretized by a ‘monolithic’ high-order finite element method (p-FEM) based on ...

In this paper we introduce a elastic and hyperelastic model to describe the pressure dependent material stress in joint cartilage. We used the pressure dependent E-modulus E = f(s) to calculate the material stress. E = f(s) is a degree 4 polynomial [1]. The indentor was pressed 0.4 mm into the tissue. The results show that the maximal stress at the contact zone between indentor and cartilage ac...

In this research, the exponential stretched based hyperelastic strain energy was modified to provide the unstressed initial configuration. To this end, as the first step, the model was calibrated by the experimental data to find the best material parameters. The fitting results indicated material stability in large deformations and basic loading modes. In the second step, the initial pseudo str...

Hill's one-dimensional three-element model has often been used for formulating a three-dimensional skeletal muscle constitutive model, which generally involves several material parameters. However, only few of these parameters have physical meanings and can be experimentally determined. In this paper, a parametric study of a Hill-type hyperelastic skeletal muscle model is performed. First, the ...