research
A comment on a hybrid asperity-Persson friction rubber theory by A Emami, S Khaleghian and S Taheri. Friction 9(6): 1707--1725 (2021)
dear collegues, I may be interested to share your views on an "asperity theory" modified Persson's rubber friction contact mechanics theory which I find not clearly motivated and seems to lead to erroneous conclusions ---- but I am also unable to reproduce the results claimed by the authors. The preprint is here, and the original paper attached: https://www.researchgate.net/publication/359392510
Predicting peak stresses in microstructured materials using convolutional encoder–decoder learning
Journal: Mathematics and Mechanics of Solids
Dear colleagues,
A Multiresolution Adaptive Wavelet Method for Nonlinear Partial Differential Equations
A Multiresolution Adaptive Wavelet Method for Nonlinear Partial Differential Equations
If you are interested in the full lecture on the Multiresolution Adaptive Wavelet Method, I have given The Journal of Computational Physics lecture as the part of the Cassyni project.
Curvatures of a Surface and the Rotation of the Unit Normal Vector
Thanks to Weingarten’s formulae [1], which date to 1861, the bending deformation of a Kirchhoff-Love shell can be characterized by examining the variation of the unit normal vector to the surface of the shell.
Axial-shear mechanical coupling
Anisotropy and chirality create an interesting mechanical coupling – axial-shear coupling. This paper also reports a weak correlation of chirality with negative Poisson’s ratio and a directional negative and positive Poisson’s ratio of a tetra-achiral lattice.
For more information, you can check this paper:
https://www.sciencedirect.com/science/article/pii/S0264127521000368
Axial-bending mechanical coupling
We discovered a novel mechanical coupling effect – axial-bending coupling. Unlike Poisson, axial-shear, and axial-twisting coupling effects, this axial-bending coupling occurs at a non-centrosymmetric square lattice.
For more information, you can check this paper:
https://www.sciencedirect.com/science/article/pii/S0264127522001538
Magneto-Mechanical System to Reproduce and Quantify Complex Strain Patterns in Biological Materials
Based on magneto-active polymers, we provide a non-invasive and real-time control methodology to impose complex mechanical forces on biological systems. The device is conceptualised to be suitable for any traditional microscope! See scheme:
We allow for reproducing complex mechanical processes by simulating a set of local strain patterns occurring in real scenarios. We demonstrated this by simulating strain distribution occurring within the brain tissue during a head impact (Knutsen et al., 2020 #BMphi).
The Universal Program of Linear Elasticity
Universal displacements are those displacements that can be maintained, in the absence of body forces, by applying only boundary tractions for any material in a given class of materials. Therefore, equilibrium equations must be satisfied for arbitrary elastic moduli for a given anisotropy class. These conditions can be expressed as a set of partial differential equations for the displacement field that we call universality constraints. The classification of universal displacements in homogeneous linear elasticity has been completed for all the eight anisotropy classes.