65 citations · 331 across the 28 of their papers we have counts for
31 papers
Virtual Surjection and the -- Theorem for Discrete Groups
Tal Cohen, Mark Shusterman
We prove the Virtual Surjection Conjecture for discrete groups, both for property and for property : given a product of groups of type (respectively ),…
Virtual Surjection and the -- Theorem for Profinite Groups
Tal Cohen, Mark Shusterman
We prove the Virtual Surjection Conjecture for profinite groups. Namely, given a product of profinite groups, a subgroup that virtually surjects onto -tupl…
A Unified Thermo-Chemo-Mechanical Framework for Bulk and Frontal Polymerization: Coupled Kinetics and Front Stability
Xuanhe Li, Tal Cohen
Polymerization is a fundamental chemical process enabling large-scale production of material components across modern industries. By transforming a monomer mixture into a cross-lin…
Interfacial Cavitation with Surface Tension: New Insights into Failure of Particle Reinforced Polymers
Xuanhe Li, Brendan Unikewicz, S. Chockalingam +2
Understanding and mitigating the failure of reinforced elastomers has been a long-standing challenge in many industrial applications. In an early attempt to shed light on the funda…
On the Nonlinear Eshelby Inclusion Problem and its Isomorphic Growth Limit
J. E. Bonavia, S. Chockalingam, T. Cohen
In the late 1950's, Eshelby's linear solutions for the deformation field inside an ellipsoidal inclusion and, subsequently, the infinite matrix in which it is embedded were publish…
Cylindrical Cavity Expansion: A Novel Method for Characterizing the Mechanical Properties of Soft Materials
Jian Li, Zihao Xie, Hannah Varner +2
The low elastic modulus of soft materials, combined with geometric nonlinearity and rate dependence, presents significant challenges in the characterization of their mechanical res…
Explaining the spread in measurement of PDMS elastic properties: influence of test method and curing protocol
Hannah Varner, Tal Cohen
Accuracy in the measurement of mechanical properties is essential for precision engineering and for the interrogation of composition-property relationships. Conventional methods of…
An Accessible Instrument for Measuring Soft Material Mechanical Properties
B. M. Unikewicz, A. M. Pincot, T. Cohen
Soft material research has seen significant growth in recent years, with emerging applications in robotics, electronics, and healthcare diagnostics where understanding material mec…
Mechanical Forces Quench Frontal Polymerization: Experiments and Theory
Xuanhe Li, Tal Cohen
Frontal polymerization is a promising energy-saving method for rapid fabrication of polymer components with good mechanical properties. In these systems, a small energy input is su…
A large deformation theory for coupled swelling and growth with application to growing tumors and bacterial biofilms
Chockalingam Senthilnathan, Tal Cohen
There is significant interest in modelling the mechanics and physics of growth of soft biological systems such as tumors and bacterial biofilms. Solid tumors account for more than…
Torsional Instabilities in the Delamination of Soft Adhesives
Tara K. Venkatadri, Thomas Henzel, Tal Cohen
Soft adhesive contacts are ubiquitous in nature and are increasingly used in synthetic systems, such as flexible electronics and soft robots, due to their advantages over tradition…
Periodic necking of misfit hyperelastic filaments embedded in a soft matrix
Jian Li, Hannah Varner, Tal Cohen
The necking instability is a precursor to tensile failure and rupture of materials. A quasistatically loaded free-standing uniaxial specimen typically exhibits necking at a single…
Biofilms as self-shaping growing nematics
Japinder Nijjer, Mrityunjay Kothari, Changhao Li +7
Active nematics are the nonequilibrium analog of passive liquid crystals in which anisotropic units consume free energy to drive emergent behavior. Similar to liquid crystal (LC) m…
Interfacial Cavitation
Thomas Henzel, Japinder Nijjer, Chockalingam Senthilnathan +4
Cavitation has long been recognized as a crucial predictor, or precursor, to the ultimate failure of various materials, ranging from ductile metals to soft and biological materials…
A Reciprocal Theorem for Finite Deformations in Incompressible Bodies
Thomas Henzel, Chockalingam Senthilnathan, Tal Cohen
The reciprocal theorems of Maxwell and Betti are foundational in mechanics but have so far been restricted to infinitesimal deformations in elastic bodies. In this manuscript, we p…
The crucial role of elasticity in regulating liquid-liquid phase separation in cells
Mrityunjay Kothari, Tal Cohen
Liquid-liquid phase separation has emerged as a fundamental mechanism underlying intracellular organization, with evidence for it being reported in numerous different systems. Howe…
Nonlinear Inclusion Theory with Application to the Growth and Morphogenesis of a Confined Body
Jian Li, Mrityunjay Kothari, Chockalingam Senthilnathan +5
One of the most celebrated contributions to the study of the mechanical behavior of materials is due to J.D. Eshelby, who in the late 50s revolutionized our understanding of the el…
Observation of ultra-slow shock waves in a tunable magnetic lattice
Jian Li, Chockalingam Senthilnathan, Tal Cohen
The combination of fast propagation speeds and highly localized nature has hindered the direct observation of the evolution of shock waves at the molecular scale. To address this l…
Stick-slip phenomena and Schallamach waves captured using reversible cohesive elements
Evelyne Ringoot, Thibault Roch, Jean-François Molinari +2
Reversibility is of paramount importance in the correct representation of surface peeling in various physical settings, ranging from motility in nature, to gripping devices in robo…
Probing local nonlinear viscoelastic properties in soft materials
S Chockalingam, Christine Roth, Thomas Henzel +1
Minimally invasive experimental methods that can measure local rate dependent mechanical properties are essential in understanding the behaviour of soft and biological materials in…
Controlled Propagation and Jamming of a Delamination Front
Mrityunjay Kothari, Zoë S. Lemon, Christine Roth +1
We study the birth and propagation of a delamination front in the peeling of a soft, weakly adhesive layer. In a controlled-displacement setting, the layer partially detaches via a…
Morphogenesis and proportionate growth: A finite element investigation of surface growth with coupled diffusion
Virginia von Streng, Rami Abi-Akl, Bianca Giovanardi +1
Modeling the spontaneous evolution of morphology in natural systems and its preservation by proportionate growth remains a major scientific challenge. Yet, it is conceivable that i…
Effect of Elasticity on Phase Separation in Heterogeneous Systems
Mrityunjay Kothari, Tal Cohen
A recent study has demonstrated that phase separation in binary liquid mixtures is arrested in the presence of elastic networks and can lead to a nearly uniformly-sized distributio…
Shear shock evolution in incompressible soft solids
Chockalingam Senthilnathan, Tal Cohen
Nonlinear evolution of shear waves into shocks in incompressible elastic materials is investigated using the framework of large deformation elastodynamics, for a family of loadings…