This blog post covers the description and determination of Young’s modulus, tangent modulus, and chord modulus. These properties, commonly used for product and material specification, can be calculated by subjecting a specimen to uniaxial force, measuring its stress and strain properties, and generating a stress-strain curve. The accuracy of the modulus determination depends on the precision of the load and strain measurements.
We revisit Nye's lattice curvature tensor in the light of Cartan's moving frames. Nye's definition of lattice curvature is based on the assumption that the dislocated body is stress-free, and therefore, it makes sense only for zero-stress (impotent) dislocation distributions. Motivated by the works of Bilby and others, Nye's construction is extended to arbitrary dislocation distributions. We provide a material definition of the lattice curvature in the form of a triplet of vectors, that are obtained from the material covariant derivative of the lattice frame along its integral curves.
In this paper we investigate the possibility of elastodynamic transformation cloaking in bodies made of non-centrosymmetric gradient solids. The goal of transformation cloaking is to hide a hole from elastic disturbances in the sense that the mechanical response of a homogeneous and isotropic body with a hole covered by a cloak would be identical to that of the corresponding homogeneous and isotropic body outside the cloak.
When using CZM for crack propagation, for each CZM element, once the separation delta > delta_c, the adhesive is completely damaged, cannot transmit stress. delta_c is the separation on the right side of the bilinear or trapezoidal models. How can I get the length of the crack for each increment of applied displacement or load? I can see that the totally damage element disappear from the Visualization but I need a better way that gives me crack length, not just a picture that shows the crack longer for each increment.
EML Webinar (Season 2) on 11 May 2021 will be given by Michael Sheetz, University of Texas Medical Branch. Mechanical Stresses Kill Tumor Cells Discussion Leaders: Taher Saif, University of Illinois at Urbana-Champaign and Guy Genin, Washington University, St Louis
Time: 10 am Boston, 3 pm London, 10 pm Beijing on 12 May 2021
Zoom Link: https://ter.ps/EMLWebinarS2
Jiao, S., & Liu, M.* (2021). Snap-through in Graphene Nanochannels: With Application to Fluidic Control. ACS Appl. Mater. Interfaces, 13, 1158–1168.
Liu, M., Gomez, M., & Vella, D.* (2021). Delayed bifurcation in elastic snap-through instabilities. J Mech. Phys. Solids, 151, 104386.
Mutian Hua, Shuwang Wu, Ximin He
Bioinspired Soft Materials Group
University of California, Los Angeles
Introduction
We recently proposed a method that uses distance fields to exactly impose boundary conditions in physics-informed neural networks (PINN). This contribution is available as an arXiv preprint.
Dear iMechanica colleagues, I am pleased to share with you our newest paper on qauntitative prediction of rapid solidification. S. Kavousi, B. Novak, D. Moldovan, and M. Asle Zaeem. Quantitative prediction of rapid solidification by integrated atomistic and phase-field modeling. Acta Materialia 211 (2021) 116885 (12 pages).
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