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We present a novel constitutive model using the framework of strain-limiting theories of elasticity for an evolution of quasi-static anti-plane fracture. The classical linear elastic fracture mechanics (LEFM), with conventional linear…

Computational Engineering, Finance, and Science · Computer Science 2020-07-22 Hyun C. Yoon , Sanghyun Lee , S. M. Mallikarjunaiah

The size effect on the fracture process zone in notched and unnotched three point bending tests of concrete beams is analysed by a meso-scale approach. Concrete is modelled at the meso-scale as stiff aggregates embedded in a soft matrix…

Materials Science · Physics 2012-03-21 Peter Grassl , David Gregoire , Laura Rojas Solano , Gilles Pijaudier-Cabot

A three-dimensional mesoscopic viscoplasticity model for simulating rate-dependent plasticity and creep in unidirectional thermoplastic composites is presented. The constitutive model is a transversely isotropic extension of an isotropic…

Computational Engineering, Finance, and Science · Computer Science 2025-10-01 P. Hofman , D. Kovačević , F. P. van der Meer , L. J. Sluys

In this article, a failure mode dependent and thermodynamically consistent continuum damage model with polynomial-based damage hardening functions is proposed for continuum damage modeling of laminated composite panels. The damage model…

Computational Physics · Physics 2025-09-24 Shubham Rai , Badri Prasad Patel

The water retention curve (WRC) defines the relationship between matric suction and saturation and is a key function for determining the hydro-mechanical behavior of unsaturated soils. We investigate possible microscopic origins of the…

Geophysics · Physics 2023-03-14 Qiuyu Wang , Marius Milatz , Reihaneh Hosseini , Krishna Kumar

We extend the theory of structured deformations to the setting of linearized elasticity by providing an integral representation for the underlying energy that features bulk and surface contributions. Our derivation is obtained both via a…

Analysis of PDEs · Mathematics 2026-01-19 Manuel Friedrich , José Matias , Elvira Zappale

Surface growth is a crucial component of many natural and artificial processes from cell proliferation to additive manufacturing. In elastic systems surface growth is usually accompanied by the development of geometrical incompatibility…

Soft Condensed Matter · Physics 2019-05-08 Lev Truskinovsky , Giuseppe Zurlo

Several aspects influence corrosive processes in RC structures, such as environmental conditions, structural geometry, and mechanical properties. Since these aspects present large randomnesses, probabilistic models allow a more accurate…

Numerical Analysis · Mathematics 2021-04-20 Karolinne O. Coelho , Edson D. Leonel , Julio Flórez-López

We present a collision model for phase-resolved Direct Numerical Simulations of sediment transport that couple the fluid and particles by the Immersed Boundary Method. Typically, a contact model for these types of simulations comprises a…

Fluid Dynamics · Physics 2017-04-18 Edward Biegert , Bernhard Vowinckel , Eckart Meiburg

This paper proposes a multitask learning framework for probabilistic model updating by jointly using strain and acceleration measurements. This framework can enhance the structural damage assessment and response prediction of existing steel…

Applications · Statistics 2024-02-01 Taro Yaoyama , Tatsuya Itoi , Jun Iyama

A constitutive model is presented for brittle granular materials based on a recent reformulation of the breakage mechanics theory. Compared with previous breakage mechanics-based models, the proposed model is improved to capture strain…

Soft Condensed Matter · Physics 2019-02-21 M. B. Cil , R. C. Hurley , L. Graham-Brady

In Part I of this work, we proposed a stochastic model describing solute interactions with stationary and moving grain boundaries (GBs) and applied it to planar GBs in 1D systems. The model reproduces nonlinear GB dynamics, solute…

Materials Science · Physics 2023-11-10 Y. Mishin

Molecular dynamics simulations were used to quantify mechanically-induced structural evolution in nanocrystalline Al with an average grain size of 5 nm. A polycrystalline sample was cyclically strained at different temperatures, while a…

Materials Science · Physics 2015-06-22 Jason F. Panzarino , Jesus J. Ramos , Timothy J. Rupert

It is possible to build free-standing, load-bearing structures using only rocks and loops of elastic material. We investigate how these structures emerge, and find that the necessary maximum loop spacing (the critical spacing) is a function…

Soft Condensed Matter · Physics 2021-09-09 Arman Guerra , Douglas P. Holmes

It is shown that a compound elastic structure, which displays a dynamic instability, may be designed as the union (or 'fusion') of two structures which are stable when separately analyzed. The compound elastic structure has two degrees of…

Classical Physics · Physics 2023-01-16 Marco Rossi , Andrea Piccolroaz , Davide Bigoni

Covering elastic substrates with stiff biomimetic scales significantly alters the bending behavior via scales engagement. This engagement is the dominant source of nonlinearity in small deflection regime. As deformation proceeds, an…

Soft Condensed Matter · Physics 2019-11-07 Hessein Ali , Hossein Ebrahimi , Ranajay Ghosh

In complex materials, numerous intertwined phenomena underlie the overall response at macroscale. These phenomena can pertain to different engineering fields (mechanical , chemical, electrical), occur at different scales, can appear as…

Materials Science · Physics 2016-06-15 Pierre Jehel

Coarse graining techniques play an essential role in accelerating molecular simulations of systems with large length and time scales. Theoretically grounded bottom-up models are appealing due to their thermodynamic consistency with the…

Computational Physics · Physics 2022-11-01 Blake R. Duschatko , Jonathan Vandermause , Nicola Molinari , Boris Kozinsky

The broad application of polymer composites in engineering demands the deep understanding of the main damage mechanisms under realistic loading conditions and the development of proper physics-based models. Towards this goal, this study…

Applied Physics · Physics 2019-10-07 Yao Qiao , Marco Salviato

A continuum dynamical model is developed to determine the morphological and compositional instabilities on the free surface of heteroepitaxial alloy films in the absence of growth. We use linear stability analysis to study the early…

Statistical Mechanics · Physics 2009-11-07 Zhi-Feng Huang , Rashmi C. Desai
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