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The paper focuses on numerical simulation of the phase-field (PF) equations for modeling martensitic transformations in shape memory alloys (SMAs), their complex microstructures and thermo-mechanical behavior. The PF model is based on the…

材料科学 · 物理学 2014-03-25 R. Dhote , H. Gomez , R. Melnik , J. Zu

In this paper, we examine the pure bending of plates within the framework of modified couple stress theory (M-CST) and consistent couple stress theory (C-CST). In this development, it is demonstrated that M-CST does not describe pure…

综合物理 · 物理学 2016-06-10 Ali R. Hadjesfandiari , Arezoo Hajesfandiari , Gary F. Dargush

Mesh adaptivity is a technique to provide detail in numerical solutions without the need to refine the mesh over the whole domain. Mesh adaptivity in isogeometric analysis can be driven by Truncated Hierarchical B-splines (THB-splines)…

数值分析 · 数学 2025-03-20 H. M. Verhelst , A. Mantzaflaris , M. Möller , J. H. Den Besten

We investigate the T(3)-gauge theory of static dislocations in continuous solids. We use the most general linear constitutive relations bilinear in the elastic distortion tensor and dislocation density tensor for the force and pseudomoment…

材料科学 · 物理学 2009-11-13 Markus Lazar , Charalampos Anastassiadis

The stress-gradient theory has a third order tensor as kinematic degree of freedom, which is work-conjugate to the stress gradient. This tensor was called micro-displacements just for dimensional reasons. Consequently, this theory requires…

计算物理 · 物理学 2020-02-19 Geralf Hütter , Karam Sab , Samuel Forest

The damping of built-up structures stems largely from the microscopic dry frictional interactions in the contact interfaces. The accurate prediction of friction damping has been an important scientific aim of the past several decades.…

系统与控制 · 电气工程与系统科学 2025-07-17 Hendrik D. Linder , Johann Gross , Malte Krack

Discrete fine-scale models, in the form of either particle or lattice models, have been formulated successfully to simulate the behavior of quasi-brittle materials whose mechanical behavior is inherently connected to fracture processes…

材料科学 · 物理学 2016-02-17 Roozbeh Rezakhani , Gianluca Cusatis

Dynamic crack branching in unsaturated porous media holds significant relevance in various fields, including geotechnical engineering, geosciences, and petroleum engineering. This article presents a numerical investigation into dynamic…

数值分析 · 数学 2024-01-10 Hossein Pashazad , Xiaoyu Song

In this paper, we propose an approach for describing wave propagation in finite-size microstructured metamaterials using a reduced relaxed micromorphic model. This method introduces an additional kinematic field with respect to the…

应用物理 · 物理学 2023-11-30 Plastiras Demetriou , Gianluca Rizzi , Angela Madeo

Nanoindentation involves probing a hard diamond tip into a material, where the load and the displacement experienced by the tip is recorded continuously. This load-displacement data is a direct function of material's innate stress-strain…

计算工程、金融与科学 · 计算机科学 2016-12-13 Salah U. Hamim

In this paper an experimental validation of numerical approaches aimed to predict the coupled behaviour of microbeams for out-of-plane bending tests is performed. This work completes a previous investigation concerning in plane microbeams…

其他计算机科学 · 计算机科学 2008-12-18 Alberto Ballestra , Eugenio Brusa , Giorgio De Pasquale , Mircea Gh. Munteanu , Aurelio Somà

Hollow microgels are elastic polymer shells easily realizable in experiments. Recent works have shown the emergence of buckling events in dilute hollow microgels under the effect of an added osmotic pressure. Here, we perform large-scale…

软凝聚态物质 · 物理学 2026-01-19 Leah Rank , Emanuela Zaccarelli

The edge of torn elastic sheets and growing leaves often form a hierarchical buckling pattern. Within non-Euclidean plate theory this complex morphology can be understood as low bending energy isometric immersions of hyperbolic Riemannian…

软凝聚态物质 · 物理学 2015-07-10 John Gemmer , Eran Sharon , Shankar Venkataramani

The fundamental interactions between an edge dislocation and a random solid solution are studied by analyzing dislocation line roughness profiles obtained from molecular dynamics simulations of Fe0.70Ni0.11 Cr0.19 over a range of stresses…

This paper proposes an effective computational tool for brittle crack propagation problems based on a combination of a higher-order phase-field model and a non-conforming mesh using a NURBS-based isogeometric approach. This combination, as…

计算工程、金融与科学 · 计算机科学 2022-12-15 Khuong D. Nguyen , Charles E. Augarde , William M. Coombs , H. Nguyen-Xuan , M. Abdel-Wahab

In the context of finite elasticity, we propose plate models describing the spontaneous bending of nematic elastomer thin films due to variations along the thickness of the nematic order parameters. Reduced energy functionals are deduced…

偏微分方程分析 · 数学 2017-02-03 Virginia Agostiniani , Antonio DeSimone

Phase field theory for fracture is developed at large strains with an emphasis on a correct introduction of surface stresses. This is achieved by multiplying the cohesion and gradient energies by the local ratio of the crack surface areas…

The mechanical problem discussed in this paper focuses on the stress state estimation in a composite laminate in the vicinity of a free edge or microcracks. To calculate these stresses, we use two models called Multiparticle Models of…

经典物理 · 物理学 2009-07-07 Rui Pedro Carreira , Jean-François Caron , Alberto Diaz Diaz

Accurate prediction of fracture toughness under complex loading conditions, like mixed mode I/II, is essential for reliable failure assessment. This paper aims to develop a machine learning framework for predicting fracture toughness and…

计算物理 · 物理学 2025-03-04 Amir Mohammad Mirzaei

Predicting the mechanics of large structural networks, such as beam-based architected materials, requires a multiscale computational strategy that preserves information about the discrete structure while being applicable to large assemblies…

计算工程、金融与科学 · 计算机科学 2024-03-15 Kevin Kraschewski , Gregory P. Phlipot , Dennis M. Kochmann