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The rise of soft materials and additive manufacturing has provided the feasibility of developing elastomer lattices for various engineering applications. Although earlier attempts have been made to manufacture and test the elastomer…

Materials Science · Physics 2024-01-17 Yong Pang , Tao Liu

Understanding the fracture mechanics of soft solids remains a fundamental challenge due to their complex, nonlinear responses under large deformations. While multiaxial loading is key to probing their mechanical behavior, the role of such…

Soft Condensed Matter · Physics 2025-09-04 Miguel Angel Moreno-Mateos , Simon Wiesheier , Ali Esmaeili , Mokarram Hossain , Paul Steinmann

Electronic nematicity is widely observed in quantum materials with varying degrees of electronic correlation, manifesting through charge, spin, orbital, or superconducting degrees of freedom. A phenomenological model capable of describing…

Strongly Correlated Electrons · Physics 2026-04-22 W. Joe Meese , Rafael M. Fernandes

Polymer composite materials are widely used for their exceptional mechanical properties, notably their ability to resist large deformations. Here we examine the failure stress and strain of rubbers reinforced by varying amounts of…

We investigate the break-up of Newtonian/viscoelastic droplets in a viscoelastic/Newtonian matrix under the hydrodynamic conditions of a confined shear flow. Our numerical approach is based on a combination of Lattice-Boltzmann models (LBM)…

Soft Condensed Matter · Physics 2016-11-15 Anupam Gupta , Mauro Sbragaglia

Despite numerous experimental and theoretical investigations of the mechanical behavior of high-capacity Si and Ge Li-ion battery anodes, our basic understanding of swelling-driven fracture in these materials remains limited. Existing…

Applied Physics · Physics 2020-05-18 Ataollah Mesgarnejad , Alain Karma

In mechanical systems it is of interest to know the onset of fracture in dependence of the boundary conditions. Here we study a one-dimensional model which allows for an underlying heterogeneous structure in the discrete setting. Such…

Analysis of PDEs · Mathematics 2021-11-03 Laura Lauerbach , Stefan Neukamm , Mathias Schäffner , Anja Schlömerkemper

Static and dynamic analysis of the fracture tests of fiber composites in hydraulically servo-controlled testing machines currently in use shows that their grips are much too soft and light for observing the postpeak softening. Based on…

Materials Science · Physics 2018-10-10 Zdenek P. Bazant , Viet T. Chau , Gianluca Cusatis , Marco Salviato

We investigate the fracture behavior of pre-cracked triangular beam-lattices whose elements have failure stresses drawn from a Weibull distribution. Through a statistical analysis and numerical simulations, we identify and verify the…

This work proposes an investigation of the fracturing behavior of polymer nanocomposites. Towards this end, the study leverages the analysis of a large bulk of fracture tests from the literature with the goal of critically investigating the…

Applied Physics · Physics 2018-09-05 Yao Qiao , Marco Salviato

Nearly three decades ago, the field of mechanics was cautioned of the obscure nature of cavitation processes in soft materials [Gent, A.N., 1990. Cavitation in rubber: a cautionary tale. Rubber Chemistry and Technology, 63(3)]. Since then,…

Soft Condensed Matter · Physics 2019-03-14 Shabnam Raayai-Ardakani , Darla Rachelle Earl , Tal Cohen

Crack initiation and propagation are fundamental problems in materials science, often leading to catastrophic failure. While fracture in elastic solids occurs instantaneously above a critical load, viscoelastic materials may sustain high…

Soft Condensed Matter · Physics 2026-05-14 Giuseppe Carbonea , Cosimo Mandriotab , Guido Violanob , Luciano Afferrante , Nicola Menga

The effect of geometrical shape of eroding absolutely rigid particles on the threshold rate of failure has been studied. The Shtaerman-Kilchevsky theory of quasi-static blunt impact, which generalizes Hertz's classical impact theory, is…

Classical Physics · Physics 2015-06-04 I. I. Argatov , G. S. Mishuris , Yu. V. Petrov

Notwithstanding the evidence against them, classical variational phase-field models continue to be used and pursued in an attempt to describe fracture nucleation in elastic brittle materials. In this context, the main objective of this…

Materials Science · Physics 2024-09-04 Oscar Lopez-Pamies , John E. Dolbow , Gilles A. Francfort , Christopher J. Larsen

Since their initial standardizations in the 1930s and 1950s, the so-called four-point and three-point bending tests on unnotched beams have been embraced by practitioners as two popular methods to indirectly measure the tensile strength of…

Materials Science · Physics 2026-01-09 Subhrangsu Saha , Jeffery R. Roesler , Oscar Lopez-Pamies

Propagation of a fluid-driven crack in an impermeable linear elastic medium under axis-symmetric conditions is investigated in the present work. The fluid exerting the pressure inside the crack is an incompressible Newtonian one and its…

Numerical Analysis · Mathematics 2020-11-13 Francesca Fantoni , Alberto Salvadori

A high-fidelity neural network-based force field, NN-F$^{3}$, is developed to cover the strain states up to material failure and the non-equilibrium, intermediate nature of fracture. Simulations of fracture in 2D crystals using NN-F$^{3}$…

Materials Science · Physics 2024-07-23 Pengjie Shi , Shizhe Feng , Zhiping Xu

Based on spatial-temporal resolved measurements of the stress field at crack tip based on polarized optical microscopy (str-POM), the stress analysis approach to elastomeric fracture uncovers new insights. We show new phenomenology in…

Soft Condensed Matter · Physics 2022-12-02 Zehao Fan , Shi-Qing Wang

Reproducing the key features of fracture behavior under multiaxial stress states is essential for accurate modeling. Experimental evidence indicates that three intrinsic material properties govern fracture nucleation in elastic materials:…

Numerical Analysis · Mathematics 2025-11-04 Eleonora Maggiorelli , Matteo Negri , Francesco Vicentini , Laura De Lorenzis

We study the stability and roughness of propagating cracks in heterogeneous brittle two-dimensional elastic materials. We begin by deriving an equation of motion describing the dynamics of such a crack in the framework of Linear Elastic…

Disordered Systems and Neural Networks · Physics 2013-11-12 E. Katzav , M. Adda-Bedia
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