Anisotropic nonlinear elasticity in a spherical-bead pack: Influence of the fabric anisotropy

This study deals with the development of an accurate, efficient and robust method for the numerical solution of the interaction of compressible flow and nonlinear dynamic elasticity. This problem requires the reliable solution of flow in time-dependent domains and the solution of deformations of elastic bodies formed by several materials with complicated geometry depending on time. In this paper, the fluid–structure interaction (FSI) problem is solved numerically by the space-time discontinuous Galerkin method (STDGM). In the case of compressible flow, we use the compressible Navier–Stokes equations formulated by the arbitrary Lagrangian–Eulerian (ALE) method. The elasticity problem uses the non-stationary formulation of the dynamic system using the St. Venant–Kirchhoff and neo-Hookean models. The STDGM for the nonlinear elasticity is tested on the Hron–Turek benchmark. The main novelty of the study is the numerical simulation of the nonlinear vocal fold vibrations excited by the compressible airflow coming from the trachea to the simplified model of the vocal tract. The computations show that the nonlinear elasticity model of the vocal folds is needed in order to obtain substantially higher accuracy of the computed vocal folds deformation than for the linear elasticity model. Moreover, the numerical simulations showed that the differences between the two considered nonlinear material models are very small.

Download Full-text

Nonlinear Elasticity of Ultrasoft Near-Critical Gels with Extremely Sparse Network Structures Revealed by Biaxial Stretching

Macromolecules ◽

10.1021/acs.macromol.0c02737 ◽

2021 ◽

Author(s):

Takuma Aoyama ◽

Naoto Yamada ◽

Kenji Urayama

Keyword(s):

Nonlinear Elasticity ◽

Network Structures ◽

Sparse Network ◽

Biaxial Stretching

Download Full-text

Fiber-reinforced composites: nonlinear elasticity and beyond

Journal of Engineering Mathematics ◽

10.1007/s10665-021-10119-1 ◽

2021 ◽

Vol 127 (1) ◽

Author(s):

A. Wineman ◽

Thomas J. Pence

Keyword(s):

Nonlinear Elasticity ◽

Fiber Reinforced Composites ◽

Reinforced Composites ◽

Fiber Reinforced

Download Full-text

CHARACTERIZATION OF LIQUEFACTION RESISTANCE OF SAND: EFFECT OF INITIAL FABRIC

Journal of Earthquake and Tsunami ◽

10.1142/s1793431114500018 ◽

2014 ◽

Vol 08 (01) ◽

pp. 1450001 ◽

Cited By ~ 1

Author(s):

BO LI ◽

XIANGWU ZENG ◽

HAO YU

Keyword(s):

Depositional Environment ◽

Design Method ◽

Free Field ◽

Recent Experience ◽

Permeability Test ◽

Fabric Anisotropy ◽

Liquefaction Resistance ◽

Liquefaction Potential ◽

Centrifuge Tests

The micro-fabric of deposition reflects the imprints of its geologic and stress history, its depositional environment, and its weathering history. Recent experience shows that the fabric anisotropy does influence the static and dynamic behavior of granular materials. In this study, a series of centrifuge tests are conducted to investigate the effects of fabric anisotropy on the dynamic response in the free field. The results show the acceleration, pore pressure, and residual settlement is significantly affected by the fabric anisotropy of the ground, which shows the liquefaction resistance of the ground. Meanwhile, the response of acceleration is analyzed in frequency domain, which shows that the model prepared by 90° absorbs more energy than that of 0°. To verify the effects induced by the initial fabric, permeability test are conducted and related to the liquefaction potential. The results indicate the fabric anisotropy should be incorporated into the design method.

Download Full-text