Auxetic materials with negative Poisson's ratios have important applications across a broad range of engineering areas, such as biomedical devices, aerospace engineering and automotive engineering. A variety of design strategies have been developed to achieve artificial auxetic materials with controllable responses in the Poisson's ratio. The development of designs that can offer isotropic negative Poisson's ratios over large strains can open up new opportunities in emerging biomedical applications, which, however, remains a challenge.

A continuum-based model is presented for the mechanics of bidirectional composites subjected to finite plane deformations. This is framed in the development of a constitutive relation within which the constraint of material incompressibility is augmented. The elastic resistance of the fibers is accounted for directly via the computation of variational derivatives along the lengths of bidirectional fibers. The equilibrium equation and necessary boundary conditions are derived by virtue of the principles of virtual work statement.

Level: Ph.D, start from Fall 2018
When: Apply Now by sending CV to  yaning.li [at] unh.edu (yaning[dot]li[at]unh[dot]edu

Eric Acome, Nicholas Kellaris, Timothy Morrissey, Shane K. Mitchell, Christoph Keplinger

University of Colorado Boulder

Introduction

We introduce a new family of mixed finite elements for incompressible nonlinear elasticity — compatible-strain mixed finite element methods (CSFEMs). Based on a Hu-Washizu-type functional, we write a four-field mixed formulation with the displacement, the displacement gradient, the first Piola-Kirchhoff stress, and a pressure-like field as the four independent unknowns. Using the Hilbert complexes of nonlinear elasticity, which describe the kinematics and the kinetics of motion, we identify the solution spaces of the independent unknown fields.

MS27: Computational GeomechanicsWaiChing Sun, Columbia University
Jose Andrade, Caltech
Ronaldo Borja, Stanford University
Jinhyun Choo, University of Hong Kong
Majid Manzari, George Washington University
Richard Regueiro, University of Colorado Boulder

Inspired by the discussion with Mike Ciavarella on http://imechanica.org/node/22012, I am thinking about a journal with the following attributes:

The 22nd International Conference on Wear of Materials will take place in Miami, USA from the 14-18 April 2019.

We are still accepting Poster abstract for this event, Deadline for abstract submission: Feb 28, 2018. Abstract submission and all other inquires: amm2018 [at] purdue.edu (amm2018[at]purdue[dot]edu)