Lotus leaves floating on water usually experience short-wavelength edge wrinkling that decays toward the center, while the leaves growing above water normally morph into a global bending cone shape with long rippled waves near the edge. Observations suggest that the underlying water (liquid substrate) significantly affects the morphogenesis of leaves.
Curvature-induced symmetry-breaking pattern formation and transition are widely observed in curved film/substrate systems across different length scales such as embryogenesis, heterogeneous micro-particles, dehydrated fruits, growing tumors and planetary surfaces.
H. Hou, E. Simsek, T. Ma, N.S. Johnson, S. Qian, C. Cissé, D. Stasak, N. Al Hasan, L. Zhou, Y. Hwang, R. Radermacher, V.I. Levitas, M.J. Kramer, M. Asle Zaeem, A.P. Stebner, R.T. Ott, J. Cui, I. Takeuchi. Fatigue-resistant high-performance elastocaloric materials made by additive manufacturing. Science 366 (6469) (2019) 1116-1121.
Abstract
Adhesive contact of the Hertzian indenter with an incompressible elastic substrate bi-directionally stretched along the indenter principal planes of curvature is considered in the Johnson–Kendall–Roberts theoretical framework. An approximate model is constructed by examining energy release rate conditions only on the edges of the minor and major axes of the contact ellipse. The effect of weak coupling between fracture modes I and II is introduced using a phenomenological mode-mixity function.
N. Zhang and M. Asle Zaeem. Nanoscale flaw tolerance behaviour of polycrystalline tetragonal zirconia nanopillars. International Journal of Mechanical Sciences 173 (2020) 105405 (7 pages).
Hello,
I am creating this post to get some inputs on deriving the analytical solution to the 3D nonlinear elastic wave equation.
The eigenfunction method pioneered by Galin (J Appl Math Mech 40: 981–986, 1976) is extended to provide a general solution to the transient evolution of contact pressure and wear of two sliding elastic half-planes, under the assumption that there is full contact and that the Archard–Reye wear law applies. The governing equations are first developed for sinusoidal profiles with exponential growth rates. The contact condition and the wear law lead to a characteristic equation for the growth rate and more general solutions are developed by superposition.
I am creating this post to get some inputs/ possible collaboration for validating my 3D nonlinear elastic model.
Dear fellow mechanicians,
I wanted to share our recent paper in Large scale ab-initio simulations of dislocations. A link with free access is provided.
https://authors.elsevier.com/a/1aRRW508Hm3Z7
https://www.sciencedirect.com/science/article/pii/S0021999120300231?dgc…
https://arxiv.org/pdf/1907.02604.pdf
Best wishes,
