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We study two closely related, nonlinear models of a viscoplastic solid. These models capture essential features of plasticity over a wide range of strain rates and applied stresses. They exhibit inelastic strain relaxation and steady flow…

Materials Science · Physics 2009-10-31 Alexander E. Lobkovsky , J. S. Langer

We investigate how material rigidity acts as a key control parameter for the failure of solids under stress. In both experiments and simulations, we demonstrate that material failure can be continuously tuned by varying the underlying…

The dynamic collapse of pores under shock loading is thought to be directly related to hot spot generation and material failure, which is critical to the performance of porous energetic and structural materials. However, the shock…

Applied Physics · Physics 2024-09-02 Barry P Lawlor , Vatsa Gandhi , Guruswami Ravichandran

We consider a heavy, uniform, elastic beam rested on periodically distributed supports as a simplified model of a bridge. The supports are subjected to a partial destruction propagating as a failure wave along the beam. Three related models…

Classical Physics · Physics 2015-06-12 Michele Brun , Alexander B. Movchan , Leonid I. Slepyan

Cells attach to their environment by means of focal adhesions, which are molecular complexes that exhibit the remarkable ability to adapt to mechanical load by changing their size. Drawing from the biomolecular mechanisms underlying this…

Soft Condensed Matter · Physics 2025-03-17 Anton F. Burnet , Julia Müllner , Benedikt Sabass

Granular materials can fail through spontaneous events like earthquakes or brittle fracture. However, measurements and analytic models which forecast failure in this class of materials, while of both fundamental and practical interest,…

Soft Condensed Matter · Physics 2018-06-04 Theodore A. Brzinski , Karen E. Daniels

Engineering wear models are generally empirical and lack connections to the physical processes of debris generation at the nanoscale to microscale. Here, we thus analyze wear particle formation for sliding interfaces in dry contact with…

Materials Science · Physics 2019-05-15 Tobias Brink , Jean-François Molinari

The deformation of brittle material is primarily accompanied by micro-cracking and faulting. However, it has often been found that continuum fluid models, usually based on a non-Newtonian viscosity, are applicable. To explain this rheology,…

Materials Science · Physics 2016-12-28 K. Z. Nanjo

The mechanical behavior of porous materials depends strongly on porosity and pore geometry, but also on morphological parameters characterizing the spatial arrangement of pores. Here we use bond-based peridynamics to study effects of…

Materials Science · Physics 2023-05-17 Jonas Ritter , Shucheta Shegufta , Michael Zaiser

Quasi-static strain-controlled measurements of stress vs strain curves in macroscopic amorphous solids result in a nonlinear looking curve that ends up either in mechanical collapse or in a steady-state with fluctuations around a mean…

Soft Condensed Matter · Physics 2016-03-02 Awadhesh K. Dubey , Itamar Procaccia , Carmel A. B. Z. Shor , Murari Singh

We develop an analytical model of adhesive wear between two unlubricated rough surfaces, forming micro-contacts under normal load. The model is based on an energy balance and a crack initiation criteria. We apply the model to the problem of…

Soft Condensed Matter · Physics 2021-08-02 Son Pham-Ba , Jean-François Molinari

We propose a novel model for the shear failure of a glued interface between two solid blocks. We model the interface as an array of elastic beams which experience stretching and bending under shear load and break if the two deformation…

Materials Science · Physics 2015-06-25 F. Raischel , F. Kun , H. J. Herrmann

We present a generic theory for the dynamics of a stiff filament under tension, in an active medium with orientational correlations, such as a microtubule in contractile actin. In sharp contrast to the case of a passive medium, we find the…

Soft Condensed Matter · Physics 2009-01-28 Norio Kikuchi , Allen Ehrlicher , Daniel Koch , Josef A. Käs , Sriram Ramaswamy , Madan Rao

We use optical trapping to continuously bend an isolated microtubule while simultaneously measuring the applied force and the resulting filament strain, thus allowing us to determine its elastic properties over a wide range of applied…

Biological Physics · Physics 2018-07-24 Edvin Memet , Feodor Hilitski , Margaret A Morris , Walter J Schwenger , Zvonimir Dogic , L Mahadevan

A growing or compressed thin elastic sheet adhered to a rigid substrate can exhibit a buckling instability, forming an inward hump. Our study shows that the strip morphology depends on the delicate balance between the compression energy and…

Soft Condensed Matter · Physics 2016-02-17 Gaetano Napoli , Stefano S. Turzi

Material failure by adiabatic shear is analyzed in viscoplastic metals that can demonstrate up to three distinct softening mechanisms: thermal softening, ductile fracture, and melting. An analytical framework is constructed for studying…

Materials Science · Physics 2025-12-05 John D. Clayton

When adhesive elastomeric materials slide over hard rough surfaces at low velocities, there are two primary dissipative mechanisms that control how friction changes with sliding velocity: viscoelastic dissipation and adhesive dissipation.…

Soft Condensed Matter · Physics 2022-11-23 Daniel Maksuta , Siddhesh Dalvi , Abhijeet Gujrati , Lars Pastewka , Tevis DB Jacobs , Ali Dhinojwala

Yield stress materials fail when the imposed stress crosses a critical threshold. A well-known dynamical response to the applied stress is the phenomenon of creep where the cumulative deformation grows sublinearly with time, prior to…

Soft Condensed Matter · Physics 2023-03-09 Suman Dutta , Kirsten Martens , Pinaki Chaudhuri

Creep tests on heterogeneous materials under subcritical loading typically show a power-law decaying strain rate before failure, with the exponent often considered material-dependent but independent of applied stress. By imposing successive…

Statistical Mechanics · Physics 2025-12-22 Chloé Braux , Antoine Bérut , Loïc Vanel

The precise mechanisms underlying the failure of multi-phase materials may be strongly dependent on the material's microstructural morphology. Micromechanical modeling has provided much insight into this dependence, but uncertainties remain…

Materials Science · Physics 2016-04-14 T. W. J. de Geus , R. H. J. Peerlings , M. G. D. Geers