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A thermodynamic framework has been developed for a class of amorphous polymers used in fused deposition modeling (FDM), in order to predict the residual stresses and the accompanying distortion of the geometry of the printed part (warping).…

经典物理 · 物理学 2021-02-09 P. Sreejith , K. Kannan , K. R. Rajagopal

For some time now, wood has offered itself as an alternative to other modern construction materials, and has become the material of choice for structures, mainly because of its renewable nature, durability and ease of shaping. However, once…

This work rigorously implements a recent model of large-strain elasto-plastic evolution in single crystals where the plastic flow is driven by the movement of discrete dislocation lines. The model is geometrically and elastically nonlinear,…

偏微分方程分析 · 数学 2024-02-27 Filip Rindler

We continue our investigation of finite deformation linear viscoelastodynamics by focusing on constructing accurate and reliable numerical schemes. The concrete thermomechanical foundation developed in the previous study paves the way for…

数值分析 · 数学 2023-05-26 Ju Liu , Jiashen Guan

Materials with memory, namely those materials whose mechanical and/or thermodynamical behaviour depends on time not only via the present time, but also through its past history, are considered. Specifically, a three dimensional viscoelastic…

数学物理 · 物理学 2019-06-03 Sandra Carillo

Embedded non-volatile memory technologies such as resistive random access memory (RRAM) and spin-transfer torque magnetic RAM (STT MRAM) are increasingly being researched for application in neuromorphic computing and hardware accelerators…

介观与纳米尺度物理 · 物理学 2021-12-15 Debasis Das , Xuanyao Fong

Predicting the process of porosity-based ductile damage in polycrystalline metallic materials is an essential practical topic. Ductile damage and its precursors are represented by extreme values in stress and material state quantities, the…

材料科学 · 物理学 2023-08-09 Yinling Zhang , Nan Chen , Curt A. Bronkhorst , Hansohl Cho , Robert Argus

A rate-independent model coupling small strain associative elasto-plasticity and damage is studied via a 'vanishing-viscosity' analysis with respect to all the variables describing the system. This extends the analysis performed for the…

偏微分方程分析 · 数学 2019-10-10 Vito Crismale , Riccarda Rossi

Stochastic models for pore collapse in granular materials are developed. First, a general fluctuating stress-strain relation for a plastic flow rule is derived. The fluctuations account for non-associativity in plastic deformations…

软凝聚态物质 · 物理学 2020-03-02 Joseph Bakarji , Daniel M. Tartakovsky

This paper addresses the question of the interplay between relaxation and irreversibility through quasi-static evolutions in damage mechanics, by inquiring the following question: can the quasi-static evolution of an elastic material…

偏微分方程分析 · 数学 2023-06-16 Elise Bonhomme

Shear transformations (i.e., localised rearrangements of particles resulting in the shear deformation of a small region of the sample) are the building blocks of mesoscale models for the flow of disordered solids. In order to compute the…

软凝聚态物质 · 物理学 2015-06-24 Alexandre Nicolas , Francesco Puosi , Hideyuki Mizuno , Jean-Louis Barrat

This paper presents the viscoelastic model for the Ashcroft-Langreth dynamic structure factors of liquid binary mixtures. We also provide expressions for the Bhatia-Thornton dynamic structure factors and, within these expressions, show how…

无序系统与神经网络 · 物理学 2009-11-10 Napoleon Anento , Luis E. Gonzalez , David J. Gonzalez , Yaroslav Chushak , Andriij Baumketner

Dynamic models, particularly rate-dependent models, have proven effective in capturing the key phenomenological features of frictional processes, whilst also possessing important mathematical properties that facilitate the design of control…

系统与控制 · 电气工程与系统科学 2026-02-12 Luigi Romano , Ole Morten Aamo , Jan Åslund , Erik Frisk

In this paper a new integral equation solution to the elastic-plastic problem of functionally graded bars under torsional loading is presented. The formulation is general in the sense that it can be applied to an arbitrary cross-section…

数值分析 · 数学 2017-05-30 George C. Tsiatas , Nick G. Babouskos

This work presents a two-stage physics-informed, data-driven constitutive modeling framework for hyperelastic soft materials undergoing progressive damage and failure. The framework is grounded in the concept of hyperelasticity with energy…

计算工程、金融与科学 · 计算机科学 2026-02-13 Kshitiz Upadhyay

High-resolution simulations of particle-based kinetic plasma models typically require a high number of particles and thus often become computationally intractable. This is exacerbated in multi-query simulations, where the problem depends on…

数值分析 · 数学 2023-07-10 Jan S. Hesthaven , Cecilia Pagliantini , Nicolò Ripamonti

This work introduces and analyzes a finite element scheme for evolution problems involving fractional-in-time and in-space differentiation operators up to order two. The left-sided fractional-order derivative in time we consider is employed…

数值分析 · 数学 2018-04-17 Gabriel Acosta , Francisco M. Bersetche , Juan Pablo Borthagaray

Stiffness degradation and progressive failure of composite laminates are complex processes involving evolution and multi-mode interactions among fiber fractures, intra-ply matrix cracks and inter-ply delaminations. This paper presents a…

数值分析 · 数学 2023-11-06 Jiakun Liu , Stuart Leigh Phoenix

A phase-field description of brittle fracture is employed in the reported four-point bending analyses of monolithic and laminated glass plates. Our aims are: (i) to compare different phase-field fracture formulations applied to thin glass…

计算工程、金融与科学 · 计算机科学 2020-12-30 Jaroslav Schmidt , Alena Zemanová , Jan Zeman , Michal Šejnoha

The study is devoted to geometrically non-linear modelling of viscoplastic structures with residual stresses. We advocate and develop a special approach to residual stresses based on the transition between reference configurations. The…

材料科学 · 物理学 2021-04-06 I. I. Tagiltsev , A. V. Shutov