65 citations · 473 across the 27 of their papers we have counts for
27 papers
Isometric Incompatibility in Growing Elastic Sheets
Yafei Zhang, Michael Moshe, Eran Sharon
Geometric incompatibility, the inability of a material's rest state to be realized in Euclidean space, underlies shape formation in natural and synthetic thin sheets. Classical Gau…
Curved crack paths are predicted by elastic-charges
Oran Szachter, Emmanuel Siefert, Mokhtar Adda-Bedia +2
Predicting crack trajectories in brittle solids remains an open challenge in fracture mechanics due to the non-local nature of crack propagation and the way cracks modify their sur…
Dipole Screening in Pure Shear Strain Protocols of Amorphous Solids
Chandana Mondal, Michael Moshe, Itamar Procaccia +1
When amorphous solids are subjected to simple or pure strain, they exhibit elastic increase in stress, punctuated by plastic events that become denser (in strain) upon increasing t…
Finite Elasticity of the Vertex Model and its Role in Rigidity of Curved Cellular Tissues
Arthur Hernandez, Michael F. Staddon, Michael Moshe +1
Using a mean field approach and simulation, we study the non-linear mechanical response of the vertex model (VM) of biological tissue under compression and dilation. The VM is know…
Geometric Theory of Mechanical Screening in two-dimensional solids
Noemie Livne, Amit Schiller, Michael Moshe
Holes in mechanical metamaterials, quasi-localized plastic events in amorphous solids, and bound dislocations in a hexatic matter are different mechanisms of generic stress relaxat…
The role of non-affine deformations in the elastic behavior of the cellular vertex model
Michael F. Staddon, Arthur Hernandez, Mark J. Bowick +2
The vertex model of epithelia describes the apical surface of a tissue as a tiling of polygonal cells, with a mechanical energy governed by deviations in cell shape from preferred,…
Anomalous Elasticity and Emergent Dipole Screening in Three-Dimensional Amorphous Solids
Harish Charan, Michael Moshe, Itamar Procaccia
In recent work, we developed a screening theory for describing the effect of plastic events in amorphous solids on its emergent mechanics. The suggested theory uncovered an anomalo…
Evidence of a two-component order parameter in 4Hb-TaS2 in the Little-Parks effect
Avior Almoalem, Irena Feldman, Michael Shlafman +5
Finding unambiguous evidence of non-trivial pairing states is one of the greatest experimental challenges in the field of unconventional superconductivity. Such evidence requires p…
Nonlinear extension of Kolosov-Muskhelishvili stress function formalism
Oran Szachter, Eytan Katzav, Mokhtar Adda-Bedia +1
The method of stress-function in elasticity theory is a powerful analytical tool with applications to a wide range of physical systems, including defective crystals, fluctuating me…
Anomalous Elasticity in Classical Glass-formers
Avanish Kumar, Michael Moshe, Itamar Procaccia +1
Amorphous solids under mechanical strains are prone to plastic responses. Recent work showed that in amorphous granular system these plastic events, that are typically quadrupolar…
Direct Measurement of Dipoles in Anomalous Elasticity of Amorphous Solids
Bhanu Prasad Bhowmik, Michael Moshe, Itamar Procaccia
Recent progress in studying the physics of amorphous solids has revealed that mechanical strains can be strongly screened by the formation of plastic events that are typically quad…
Anomalous elasticity of cellular tissue vertex model
Arthur Hernandez, Michael F. Staddon, Mark J. Bowick +2
Vertex Models, as used to describe cellular tissue, have an energy controlled by deviations of each cell area and perimeter from target values. The constrained nonlinear relation b…
Experimental and Numerical Verification of Anomalous Screening Theory in Granular Matter
Chandana Mondal, Michael Moshe, Itamar Procaccia +3
The concept of mechanical screening is widely applied in solid-state systems. Examples include nucleation of defects in crystalline materials, scars and pleats in curved crystals,…
Anomalous Elasticity and Screening in Amorphous Solids
Anaël Lemaître, Chandana Mondal, Michael Moshe +3
Amorphous solids appear to react elastically to small external strains, but in contrast to ideal elastic media, plastic responses abound immediately, at any value of the strain. Su…
Geometric approach to mechanical design principles in continuous elastic sheets
Michal Arieli, Eran Sharon, Michael Moshe
Using a geometric formalism of elasticity theory we develop a systematic theoretical method for controlling and manipulating the mechanical response of slender solids to external l…
The Intermittent Nature of Leaf Growth Fields
S. Armon, M. Moshe, E. Sharon
What are the general principles that allow proper growth of a tissue or an organ? A growing leaf is an example of such a system: it increases its area by orders of magnitude, maint…
Geometric charges and nonlinear elasticity of soft metamaterials
Yohai Bar-Sinai, Gabriele Librandi, Katia Bertoldi +1
Problems of flexible mechanical metamaterials, and highly deformable porous solids in general, are rich and complex due to nonlinear mechanics and nontrivial geometrical effects. W…
Kirigami mechanics as stress relief by elastic charges
Michael Moshe, Edward Esposito, Suraj Shankar +4
We develop a geometric approach to understand the mechanics of perforated thin elastic sheets, using the method of strain-dependent image elastic charges. This technique recognizes…
Nonlinear mechanics of thin frames
Michael Moshe, Edward Esposito, Suraj Shankar +4
The dramatic effect kirigami, such as hole cutting, has on the elastic properties of thin sheets invites a study of the mechanics of thin elastic frames under an external load. Suc…
Porous mechanical metamaterials as interacting elastic charges
Gabriele Librandi, Michael Moshe, Yoav Lahini +1
We present an analytical framework to describe the complex nonlinear response of two-dimensional porous mechanical metamaterials. We adopt a geometric approach to elasticity in whi…
Geometric frustration and solid-solid transitions in model 2D tissue
Michael Moshe, Mark J. Bowick, M. Cristina Marchetti
We study the mechanical behavior of two-dimensional cellular tissues by formulating the continuum limit of discrete vertex models based on an energy that penalizes departures from…
Elastic interactions between 2D geometric defects
Michael Moshe, Eran Sharon, Raz Kupferman
In this paper, we introduce a methodology applicable to a wide range of localized two-dimensional sources of stress. This methodology is based on a geometric formulation of elastic…
Microalloying and the mechanical properties of amorphous solids
H. George E. Hentschel, Michael Moshe, Itamar Procaccia +1
The mechanical properties of amorphous solids like metallic glasses can be dramatically changed by adding small concentrations (as low as 0.1\%) of foreign elements. The glass-form…
Two-dimensional defects in amorphous materials
Michael Moshe, Eran Sharon, Ido Levin +2
We present a new definition of defects which is based on a Riemannian formulation of incompatible elasticity. Defects are viewed as local deviations of the material's reference met…