An implicit nonlinear finite element model for simulating biological muscle mechanics is developed. The numerical method is suitable for dynamic simulations of three-dimensional, nonlinear, nearly incompressible, hyperelastic materials that undergo large deformations. These features characterise biological muscles, which consist of fibres and connective tissues. It can be assumed that the stres...

This paper studies the evolution mechanism of surface rippling in polymer nanofibers under axial stretching. This rippling phenomenon has been detected in as-electrospun polyacrylonitrile in recent single-fiber tension tests, and in electrospun polyimide nanofibers after imidization. We herein propose a one-dimensional nonlinear elastic model that takes into account the combined effect of surfa...

This paper presents a new multi-scale method for the homogenization analysis of hyperelastic solids undergoing finite strains. The key contribution is to use an incremental nonlinear homogenization technique in tandem with a model reduction method, in order to alleviate the complexity of multiscale procedures, which usually involve a large number of nonlinear nested problems to be solved. The p...

Artificial materials including various kinds of polymers like polyurethanes are more and more widely used in different branches of science and also in biomedical engineering. The paper presents the process of creating a constitutive equation for a polyurethane nanocomposite which is considered to be hyper-elastic. The constitutive modelling was conducted within the range of application of the m...

In this paper, the development of a large-displacement large-strain 3-D finite element model of the vocal fold is reported. A fold is discretized into 720 8-node brick elements with a total of 1001 nodes and 3003 displacement degrees of freedom. The structure has realistic dimensions and geometry. The model includes geometric and material nonlinearities. The geometric nonlinearity appears in th...

• Hyperelasticity framework is used to derive new nonlinear wave equations of radially propagating finite shear displacements in axially symmetric elastic bodies with helical fibers. Such G ( t , R ) are governed by a general PDE = 1 ∂ f where function that depends on the form stored energy function. For Mooney-Rivlin materials, above cylindrical equation becomes linear : α + which again, when ...

The article discusses the mathematical modeling for evolution of stress-strain state and fields defects in crystals during their contact interaction with a system rigid punches. From macroscopic point view, redistribution is characterized by inelastic (viscoplastic) deformation, therefore processes under study can be classified as elastic-viscoplastic. Elastic deformations are assumed to finite...

Intervertebral disc (IVD) carries compressive loads and resists the tensile shear stress, produced during bending rotational movements. Hence, identifying its mechanical behavior has always encouraged researchers to propose various models for this tissue. Both viscoelastic hyperelastic have been observed regarding IVD. Therefore, study aims at mechanically characterizing tissue using existing h...

A well known result from the non-linear theory of elasticity applied to spherical shells is that classical Mooney-Rivlin constitutive law may give either a monotonic or non-monotonic pressure-inflation response for finite deformation. Specifically, this determined by two factors: relative shell thickness, and $I_{1}$ $I_{2}$ contribution in M-R law. Here we consider how residual stress field af...