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A recent PNAS paper explained! FRACTURE MECHANICS SIMPLE CALCULATIONS TO EXPLAIN SMALL REDUCTION OF THE REAL CONTACT AREA UNDER SHEAR

Submitted by Mike Ciavarella on

If you have seen the very nice PNAS paper which just appeared

Sahli, R., Pallares, G., Ducottet, C., Ben Ali, I.E., Al Akhrass, S., Guibert, M., Scheibert, J., 2018, Evolution of real contact area under shear, Proceedings of the National Academy of Sciences, 115(3), pp. 471-476.

Here we provide a simple explanation.

FACTA UNIVERSITATIS

Series: Mechanical Engineering

DOI: 10.22190/FUME180108007C

Short Communication

FRACTURE MECHANICS SIMPLE CALCULATIONS TO EXPLAIN SMALL REDUCTION OF THE REAL CONTACT AREA UNDER SHEAR

UDC 539.6

18-month post-doctorate position at SRMP, CEA/Saclay, France, starting from April 2018

Submitted by Lisa Ventelon on

Title of the project: Ab initio modelling of interactions between dislocations and solutes in body-centered cubic metals

Research area: Solid State Physics, Materials Science

Summary of the project:

Non-local plasticity effects on notch fracture mechanics (code included)

Submitted by Emilio Martíne… on

I hope some of you find this work interesting, the code with the control algorithm (Segurado and Llorca, 2004) to avoid convergence problems in cohesive zone model analyses of crack propagation can be downloaded from empaneda.com/codes (documentation and Abaqus input files are provided).

Non-local plasticity effects on notch fracture mechanics

Emilio Martínez-Pañeda, Susana del Busto, Covadonga Betegón 

Theoretical and Applied Fracture Mechanics (2017)

Soft network materials with isotropic negative Poisson's ratios over large strains

Submitted by Yihui Zhang on

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.

Mechanics of an elastic solid reinforced with bidirectional fiber in finite plane elastostatics

Submitted by Mahdi Zeidi on

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.

Compatible-Strain Mixed Finite Element Methods for Incompressible Nonlinear Elasticity

Submitted by arash_yavari on

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.