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Related papers: Creep failure of hierarchical materials

200 papers

Quasi-brittle materials endowed with (statistically) self-similar hierarcical microstructures show distinct failure patterns that deviate from the standard scenario of damage accumulation followed by crack nucleation-and-growth. Here we…

Hierarchical microstructures are often invoked to explain the high resilience and fracture toughness of biological materials such as bone and nacre. Biomimetic material models inspired by those structural arrangements face the obvious…

Materials Science · Physics 2022-07-29 Seyyed Ahmad Hosseini , Paolo Moretti , Michael Zaiser

Stressed under a constant load, materials creep with a final acceleration of deformation and for any given applied stress and material, the creep failure time can strongly vary. We investigate creep on sheets of paper and confront the…

Statistical Mechanics · Physics 2025-12-03 Juan Carlos Verano-Espitia , Tero Mäkinen , Mikko J. Alava , Jérôme Weiss

Structural hierarchy, in which materials possess distinct features on multiple length scales, is ubiquitous in nature; diverse biological materials, such as bone, cellulose, and muscle, have as many as ten hierarchical levels. Structural…

Soft Condensed Matter · Physics 2019-06-19 Jonathan Michel , Peter Yunker

Heterogeneous materials are often organized in a hierarchical manner, where a basic unit is repeated over multiple scales.The structure then acquires a self-similar pattern. Examples of such structure are found in various biological and…

Statistical Mechanics · Physics 2019-08-28 Soumyajyoti Biswas , Michael Zaiser

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

We present creep experiments on fiber composite materials with controlled heterogeneity. Recorded strain rates and acoustic emission rates exhibit a power law relaxation in the primary creep regime (Andrade law) followed by a power law…

Materials Science · Physics 2009-11-10 H. Nechad , A. Helmstetter , R. El Guerjouma , D. Sornette

A subcritical load on a disordered material can induce creep damage. The creep rate in this case exhibits three temporal regimes viz. an initial decelerating regime followed by a steady-state regime and a stage of accelerating creep that…

Soft Condensed Matter · Physics 2020-05-08 Soumyajyoti Biswas , David F. Castellanos , Michael Zaiser

We present a model for mechanically-induced pattern formation in growing biological tissues and discuss its application to the development of leaf venation networks. Drawing an analogy with phase transitions in solids, we use a phase field…

Soft Condensed Matter · Physics 2010-10-29 F. Corson , H. Henry , M. Adda-Bedia

I adapted a model recently introduced in the context of seismic phenomena, to study creep rupture of materials. It consists of linear elastic fibers that interact in an equal load sharing scheme, complemented with a local viscoelastic…

Materials Science · Physics 2013-05-29 E. A. Jagla

The fiber bundle model describes a collection of elastic fibers under load. the fibers fail successively and for each failure, the load distribution among the surviving fibers change. Even though very simple, the model captures the…

Statistical Mechanics · Physics 2015-05-13 Srutarshi Pradhan , Alex Hansen , Bikas K. Chakrabarti

We study the creep rupture of fiber composites in the framework of fiber bundle models. Two novel fiber bundle models are introduced based on different microscopic mechanisms responsible for the macroscopic creep behavior. Analytical and…

Statistical Mechanics · Physics 2011-03-28 Ferenc Kun , Raul Cruz Hidalgo , Hans J. Herrmann , Karoly F. Pal

Hierarchical crack patterns that arise during the drying of thin films of colloidal dispersions or polymer solutions on a solid substrate are of interest both from a fundamental standpoint and in the context of the creation of transparent…

Disordered Systems and Neural Networks · Physics 2026-03-26 Yuri Yu. Tarasevich , Andrei V. Eserkepov , Andrei S. Burmistrov

We study the creep rupture of bundles of viscoelastic fibers occurring under uniaxial constant tensile loading. A novel fiber bundle model is introduced which combines the viscoelastic constitutive behaviour and the strain controlled…

Statistical Mechanics · Physics 2019-05-15 Raul Cruz Hidalgo , Ferenc Kun , Hans. J. Herrmann

To understand the general properties of creep failure with healing effects, we study a mean-field fiber bundle model with probabilistic rupture and rejoining processes. The dynamics of the model are determined by two factors: bond breaking…

Statistical Mechanics · Physics 2022-03-01 Subhadeep Roy , Takahiro Hatano

We study computationally the creep and yielding of athermal gels and fibre network materials under a constant imposed shear stress, within a minimal model of interconnected filaments with central forces in $d=2$ spatial dimensions. Each…

Soft Condensed Matter · Physics 2026-01-23 Michael J. Hertaeg , Suzanne M. Fielding

Motivated by recent experiments studying the creep and breakup of a protein gel under stress, we introduce a simple mesoscopic model for the irreversible failure of gels and fibrous materials, and demonstrate it to capture much of the…

Soft Condensed Matter · Physics 2024-02-16 Henry A. Lockwood , Molly H. Agar , Suzanne M. Fielding

Failure probabilities for grid components are often estimated using parametric models which can capitalize on operational grid data. This work formulates a Bayesian hierarchical framework designed to integrate data and domain expertise to…

Systems and Control · Electrical Eng. & Systems 2020-01-22 Laurel N. Dunn , Ioanna Kavvada , Mathilde Badoual , Scott J. Moura

Granular creep is the slow, sub-yield movement of constituents in a granular packing due to the disordered nature of its grain-scale interactions. Despite the ubiquity of creep in disordered materials, it is still not understood how to best…

Soft Condensed Matter · Physics 2026-05-07 Qing Hao , Luca Montoya , Elena Lee , Luke K. Davis , Cacey Stevens Bester

We investigate the role of architected thin films in the interfacial failure properties of bi-layer composites. Our results show that, while graded structures can be used to prescribe failure at the interface, they do not offer significant…

Materials Science · Physics 2026-03-10 Christian Greff , Leon Pyka , Michael Zaiser , Paolo Moretti
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