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We investigate phase-field modeling of brittle fracture in a one-dimensional bar featuring a continuous variation of elastic and/or fracture properties along its axis. Our main goal is to quantitatively assess how the heterogeneity in…

应用物理 · 物理学 2022-11-22 Francesco Vicentini , Pietro Carrara , Laura De Lorenzis

A geometrically nonlinear continuum mechanical theory is formulated for deformation and failure behaviors of amorphous polymers. The model seeks to capture material response over a range of loading rates, temperatures, and stress states…

材料科学 · 物理学 2026-02-10 John D. Clayton

An important requirement in the standard finite element method (FEM) is that all elements in the underlying mesh must be tangle-free i.e., the Jacobian must be positive throughout each element. To relax this requirement, an isoparametric…

数值分析 · 数学 2023-03-21 Bhagyashree Prabhune , Krishnan Suresh

Plasticity is inherent to many engineering materials such as metals. While it can degrade the load-carrying capacity of structures via material yielding, it can also protect structures through plastic energy dissipation. To fully harness…

计算工程、金融与科学 · 计算机科学 2025-02-05 Yingqi Jia , Xiaojia Shelly Zhang

Constitutive equations are derived for the viscoelastic behavior of filled elastomers at isothermal loading with finite strains. A particle-reinforced rubber is thought of as a composite where regions with low concentrations of junctions…

材料科学 · 物理学 2009-11-07 Aleksey D. Drozdov , Al Dorfmann

A continuum field theory approach is presented for modeling elastic and plastic deformation, free surfaces and multiple crystal orientations in non-equilibrium processing phenomena. Many basic properties of the model are calculated…

软凝聚态物质 · 物理学 2009-11-10 K. R. Elder , Martin Grant

In this paper, we investigate some micromechanical aspects of elasto-plasticity in heterogeneous geomaterials. The aim is to upscale the elasto-plastic behavior for a representative volume of the material which is indeed a very challenging…

计算工程、金融与科学 · 计算机科学 2020-11-25 Mahdad Eghbalian , Mehdi Pouragha , Richard Wan

In this paper, the Combined Finite-Discrete Element Method (FDEM) has been applied to analyze the deformation of anisotropic geomaterials. In the most general case geomaterials are both non-homogeneous and non-isotropic. With the aim of…

地球物理 · 物理学 2018-05-17 Zhou Lei , Esteban Rougier , Earl E. Knight , Antonio Munjiza , Hari Viswanathan

Functionally graded porous (FGP) plates have been introduced as modern structural members which open a new window to optimal and functional designs. Despite the need to study the effect of graded porosity on the mechanical behavior of FGP…

材料科学 · 物理学 2021-10-05 S. K. Jalali , M. J. Beigrezaee , Nicola M. Pugno

The modelling of heterogeneous and architected materials poses a significant challenge, demanding advanced homogenisation techniques. However, the complexity of this task can be considerably simplified through the application of micropolar…

软凝聚态物质 · 物理学 2024-02-27 Adrianos E. F. Athanasiadis , Michal K. Budzik , Dilum Fernando , Marcelo A. Dias

Functionally Graded Materials (FGMs) made of soft constituents have emerged as promising material-structure systems in potential applications across many engineering disciplines, such as soft robots, actuators, energy harvesting, and tissue…

计算工程、金融与科学 · 计算机科学 2025-07-01 Shiguang Deng , Horacio D. Espinosa , Wei Chen

In this work, we have developed a variational Bayesian inference theory of elasticity, which is accomplished by using a mixed Variational Bayesian inference Finite Element Method (VBI-FEM) that can be used to solve the inverse deformation…

计算机视觉与模式识别 · 计算机科学 2024-10-15 Chao Wang , Shaofan Li

The functionalized graphene sheets (FGS)-polyacrylamide (PAM) composite films have been prepared by solution cast technique. The FGS have been synthesized by thermal exfoliation of graphite oxide. Several composites with different weight %…

介观与纳米尺度物理 · 物理学 2010-04-27 Ratnesh Pandey , Kalpana Awasthi , R. S. Tiwari , O. N. Srivastava

In this paper, the mechanical responses of a thick-walled functionally graded hollow cylinder subjected to uniform magnetic field and inner-pressurized loads are studied. Rather than directly assuming the material constants into some…

经典物理 · 物理学 2018-05-04 Libiao Xin , Yanbin Li , Dongmei Pan , Guansuo Dui , Chengjian Ju

In the present thesis, a computational framework for the analysis of the deformation and damage phenomena occurring at the micro-scale of polycrystalline materials is presented. Micro-mechanics studies are commonly performed using the…

计算工程、金融与科学 · 计算机科学 2018-02-08 Vincenzo Gulizzi

This research explored a novel explicit total Lagrangian Fragile Points Method (FPM) for finite deformation of hyperelastic materials. In contrast to mesh-based methods, where mesh distortion may pose numerical challenges, meshless methods…

I formulate a general finite element method (FEM) for self-gravitating stellar systems. I split the configuration space to finite elements, and express the potential and density functions over each element in terms of their nodal values and…

天体物理仪器与方法 · 物理学 2015-05-18 Mir Abbas Jalali

The two key phenomena occurring in the process of ceramic powder compaction are the progressive gain in cohesion and the increase of elastic stiffness, both related to the development of plastic deformation. The latter effect is an example…

数学物理 · 物理学 2015-05-20 Andrea Piccolroaz , Davide Bigoni , Alessandro Gajo

Two classes of non-linear elastic materials are derived via two-dimensional homogenization. These materials are equivalent to a periodic grid of axially-deformable and axially-preloaded structural elements, subject to incremental…

经典物理 · 物理学 2025-03-25 Davide Bigoni , Andrea Piccolroaz

Functionally graded porous plates have been validated as remarkable lightweight structures with excellent mechanical characteristics and numerous applications. With inspiration from the high strength-to-volume ratio of triply periodic…

材料科学 · 物理学 2023-04-11 H. Nguyen-Xuan , Kim Q. Tran , Chien H. Thai , Jaehong Lee