scholarly journals Dominant negative Poynting effect in simple shearing of soft tissues

2014 ◽  
Vol 95 (1) ◽  
pp. 87-98 ◽  
Author(s):  
M. Destrade ◽  
C. O. Horgan ◽  
J. G. Murphy
Keyword(s):  
Soft Tissues ◽  
Dominant Negative ◽  
Simple Shearing ◽  
Poynting Effect

Shear Stability, Instability and Localization of Materials Exhibiting Thermal Softening, Strain Rate Sensitivity and Strain Hardening

1989 ◽  
Vol 111 (4) ◽  
pp. 250-253 ◽  
Author(s):  
N. Charalambakis
Keyword(s):  
Test Problem ◽  
Shear Banding ◽  
Homogeneous Solution ◽  
Rate Sensitivity ◽  
Thermal Softening ◽  
Simple Shearing ◽  
Shear Forces ◽  
Localization Of Plastic Deformation ◽  
Dependent Flow

We consider the test-problem of simple shearing of a thermoviscoplastic solid subject to steady or time-dependent boundary velocities or shear forces. Previously derived stability and nonlocalization criteria are presented. The influence of boundary conditions on the time-asymptotic “solution,” the role of nonuniformities and the localization of plastic deformation are discussed. Finally, a perturbation analysis of homogeneous solution under steady boundary velocities or stresses of a material with a gradient-dependent flow stress is presented and “shear-banding” criteria are derived.

scholarly journals SECOND-ORDER SCHEME FOR THE SPATIALLY HOMOGENEOUS BOLTZMANN EQUATION WITH MAXWELLIAN MOLECULES

1996 ◽  
Vol 06 (01) ◽  
pp. 137-147 ◽  
Author(s):  
JENS STRUCKMEIER ◽  
KONRAD STEINER
Keyword(s):  
Boltzmann Equation ◽  
Particle Method ◽  
Time Discretization ◽  
Second Order ◽  
Particle Methods ◽  
Homogeneous Boltzmann Equation ◽  
The Boltzmann Equation ◽  
Spatially Homogeneous ◽  
Maxwellian Molecules ◽  
Spatially Homogeneous Boltzmann Equation

In the standard approach particle methods for the Boltzmann equation are obtained using an explicit time discretization of the spatially homogeneous Boltzmann equation. This kind of discretization leads to a restriction on the discretization parameter as well as on the differential cross-section in the case of the general Boltzmann equation. Recently, construction of an implicit particle scheme for the Boltzmann equation with Maxwellian molecules was shown. This paper combines both approaches using a linear combination of explicit and implicit discretizations. It is shown that the new method leads to a second-order particle method when using an equiweighting of explicit and implicit discretization.

scholarly journals Study on the Size Effect of Auxetic Cellular Materials

2017 ◽  
Vol 22 (3) ◽  
pp. 749-757
Author(s):  
M. Janus-Michalska
Keyword(s):  
Computer Simulations ◽  
Timoshenko Beam ◽  
Scale Effects ◽  
Cellular Materials ◽  
Boundary Effects ◽  
Simple Shearing ◽  
Material Microstructure ◽  
Beam Elements ◽  
Material Sample ◽  
Auxetic Structure

AbstractThe objective of this paper is to investigate the effects of scale of an auxetic cellular material sample on the evaluation of elastic properties. Size and boundary effects are studied in detail. This is achieved by conducting computer simulations of the auxetic structure under the typical loading exerted by the compression and simple shearing test performed by means of ABAQUS FEA. The material microstructure is discretized by the plane network of Timoshenko beam elements. The results of the studies give insight to the scale effects. Structures with designed properties can be potentially used for engineering applications.

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