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An analytically solvable model of unsaturated lipid bilayer is derived by introducing finite bending angle of the unsaturated bond relative to straight part of the lipid chain considered previously in our model of semi-flexible strings. It…

Soft Condensed Matter · Physics 2024-07-18 Boris Kheyfets , Sergei Mukhin

In this article, we introduce the concept of model confidence bounds (MCB) for variable selection in the context of nested models. Similarly to the endpoints in the familiar confidence interval for parameter estimation, the MCB identifies…

Methodology · Statistics 2018-07-27 Yang Li , Yuetian Luo , Davide Ferrari , Xiaonan Hu , Yichen Qin

A thin plate or slab, prepared so that opposite faces have different surface stresses, will bend as a result of the stress difference. We have developed a classical molecular dynamics (MD) formulation where (similar in spirit to…

Materials Science · Physics 2009-10-31 Daniele Passerone , Erio Tosatti , Guido L. Chiarotti , Furio Ercolessi

The classical flexure problem of non-linear incompressible elasticity is revisited assuming that the bending angle suffered by the block is specified instead of the usual applied moment. The general moment-bending angle relationship is then…

Soft Condensed Matter · Physics 2013-01-28 Michel Destrade , Michael D. Gilchrist , Jerry G. Murphy

A three-dimensional simulation model is proposed here to study the erosive wear of structure caused by solid particles, which accounts for the accumulation of surface deformation and degradation during the erosion process. Although there…

Fluid Dynamics · Physics 2025-03-04 Vinh D. X. Nguyen , A. Kiet Tieu , Damien Andre , Hongtao Zhu

We study the relaxation dynamics of a coarse-grained polymer chain at different degrees of stretching by both analytical means and numerical simulations. The macromolecule is modelled as a string of beads, connected by anharmonic springs,…

Soft Condensed Matter · Physics 2009-11-13 M. Febbo , A. Milchev , V. Rostiashvili , T. A. Vilgis , D. Dimitrov

Grain-boundary (GB) local stress is central to the initiation and evolution of long-term creep damage in polycrystalline superalloys. Owing to the high-dimensional nonlinear relationships between the GB stress response and multiple…

Materials Science · Physics 2026-05-18 Weichen Kong , Yanwei Dai , Yinglin Zhang , Yinghua Liu

The short- and intermediate-distance behaviour of the hybrid adiabatic potentials is calculated in the framework of the QCD string model. The calculations are performed with the inclusion of Coulomb force. Spin-dependent force and the…

High Energy Physics - Phenomenology · Physics 2009-11-07 Yu. S. Kalashnikova , D. S. Kuzmenko

Effective properties of materials with random heterogeneous structures are typically determined by homogenising the mechanical quantity of interest in a window of observation. The entire problem setting encompasses the solution of a local…

Numerical Analysis · Mathematics 2021-10-22 Felipe Rocha , Simone Deparis , Pablo Antolin , Annalisa Buffa

A great variety of models can describe the non-linear response of rubber to uni-axial tension. Yet an in-depth understanding of the successive stages of large extension is still lacking. We show that the response can be broken down in three…

Soft Condensed Matter · Physics 2017-04-12 Michel Destrade , Giuseppe Saccomandi , Ivonne Sgura

We develop and analyze an optimization-based method for the coupling of a static peri-dynamic (PD) model and a static classical elasticity model. The approach formulates the coupling as a control problem in which the states are the…

Numerical Analysis · Mathematics 2021-10-12 Marta D'Elia , David Littlewood , Jeremy Trageser , Mauro Perego , Pavel Bochev

Theoretical approaches to nonequilibrium many-body dynamics generally rest upon an adiabatic assumption, whereby the true dynamics is represented as a sequence of equilibrium states. Going beyond this simple approximation is a notoriously…

Soft Condensed Matter · Physics 2014-10-15 Andrea Fortini , Daniel de las Heras , Joseph M. Brader , Matthias Schmidt

Bifurcation analysis of dynamic pull-in for a lumped mass model is presented. The restoring force of the spring is derived based on the nonlinear constitutive stress-strain law and the driving force of the mass attached to the spring is…

Dynamical Systems · Mathematics 2018-08-07 P. Skrzypacz , S. Kadyrov , D. Nurakhmetov , D. Wei

A new class of micromechanically motivated chain network models for soft biological tissues is presented. On the microlevel, it is based on the statistics of long chain molecules. A wormlike chain model is applied to capture the behavior of…

Quantitative Methods · Quantitative Biology 2009-11-10 E. Kuhl , K. Garikipati , E. M. Arruda , K. Grosh

Nonlocal strain gradient continuum mechanics is a methodology widely employed in literature to assess size effects in nanostructures. Notwithstanding this, improper higher-order boundary conditions (HOBC) are prescribed to close the…

Classical Physics · Physics 2020-04-22 R. Barretta , S. Ali Faghidian , F. Marotti de Sciarra , M. S. Vaccaro

In this paper, the performance of different structural models based on global approach in evaluating the static response of curvilinear fibre composite laminates is analyzed. A Co shear flexible Quad-8 element developed based on…

Materials Science · Physics 2014-07-29 Anand Venkatachari , Sundararajan Natarajan , K Ramajeyathilagam , M Ganapathi

The ply elastic constants needed for classical lamination theory analysis of multi-directional laminates may differ from those obtained from unidirectional laminates because of three dimensional effects. In addition, the unidirectional…

We perform thorough molecular-dynamics simulations to compare elasticity and yielding of atomic crystals and model semicrystalline polymers, the latter characterized by very similar positional ordering with respect to atomic crystals and…

Soft Condensed Matter · Physics 2018-11-20 Andrea Giuntoli , Dino Leporini

Lead (Pb) is a typical low-melting-point ductile metal and serves as an important model material in the study of dynamic responses. Under shock-wave loading, its dynamic mechanical behavior comprises two key phenomena: plastic deformation…

Materials Science · Physics 2025-11-18 Enze Hou , Xiaoyang Wang , Han Wang

We present a structured force reformulation of the many-body dispersion (MBD) model that enables a physically consistent decomposition of forces into pairwise components. By introducing a many-body correlation matrix that scales…

Computational Physics · Physics 2026-04-14 Zhaoxiang Shen , Raúl I. Sosa , Stéphane P. A. Bordas , Alexandre Tkatchenko , Jakub Lengiewicz