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Related papers: Isogeometric analysis for functionally graded micr…

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This work investigates the existing capabilities and limitations in numerical modeling of fracture problems in functionally graded materials (FGMs) by means of the well-known finite element code ABAQUS. Quasi-static crack initiation and…

Materials Science · Physics 2017-11-02 Emilio Martínez-Pañeda , Rafael Gallego

The precise mechanisms underlying the failure of multi-phase materials may be strongly dependent on the material's microstructural morphology. Micromechanical modeling has provided much insight into this dependence, but uncertainties remain…

Materials Science · Physics 2016-04-14 T. W. J. de Geus , R. H. J. Peerlings , M. G. D. Geers

The width of fracture process zones in geomaterials is commonly assumed to depend on the type of heterogeneity of the material. Still, very few techniques exist, which link the type of heterogeneity to the width of the fracture process…

Materials Science · Physics 2018-08-23 Peter Grassl , Adrien Antonelli

Deformation microstructure heterogeneities play a pivotal role during dislocation patterning and interface network restructuring. Thus, they affect indirectly how an alloy recrystallizes if at all. Given this relevance, it has become common…

Computational Engineering, Finance, and Science · Computer Science 2020-06-24 Markus Kühbach , Franz Roters

In this paper we consider the equilibrium problem in the relaxed linear model of micromorphic elastic materials. The basic kinematical fields of this extended continuum model are the displacement $u\in \mathbb{R}^3$ and the non-symmetric…

Mathematical Physics · Physics 2014-03-17 Patrizio Neff , Ionel-Dumitrel Ghiba , Markus Lazar , Angela Madeo

The loading of a granular material induces anisotropies of the particle arrangement (fabric) and of the material's strength, incremental stiffness, and permeability. Thirteen measures of fabric anisotropy are developed, which are arranged…

Soft Condensed Matter · Physics 2018-12-21 Matthew R. Kuhn , WaiChing Sun , Qi Wang

In this paper, the flutter behaviour of simply supported square functionally graded material plates immersed in a supersonic flow is studied. An enriched 4-noded quadrilateral element based on field consistency approach is used for this…

Numerical Analysis · Mathematics 2012-03-14 S Natarajan , M Ganapathi , S Bordas

A methodology for handling block-to-block coupling of nonconforming, multiblock summation-by-parts finite difference methods is proposed. The coupling is based on the construction of projection operators that move a finite difference grid…

Numerical Analysis · Mathematics 2021-06-03 Jeremy E. Kozdon , Lucas C. Wilcox

The Mindlin plate equations with the consideration of thickness-shear deformation as an independent variable have been used for the analysis of vibrations of quartz crystal resonators of both rectangular and circular types. The Mindlin or…

Materials Science · Physics 2016-11-17 Ji Wang , Hui Chen , Tingfeng Ma , Jianke Du , Lijun Yi , Yook-Kong Yong

Isogeometric cohesive elements are presented for modeling two and three dimensional delaminated composite structures. We exploit the knot insertion algorithm offered by NURBS (Non Uniform Rational B-splines) to generate cohesive elements…

Numerical Analysis · Mathematics 2014-10-07 Vinh Phu Nguyen , Pierre Kerfriden , Stephane Bordas

We propose an Isogeometric approach for smoothing on surfaces, namely estimating a function starting from noisy and discrete measurements. More precisely, we aim at estimating functions lying on a surface represented by NURBS, which are…

Methodology · Statistics 2016-04-20 Matthieu Wilhelm , Luca Dedè , Laura M. Sangalli , Pierre Wilhelm

Microstructural evolution in structural materials is known to occur in response to mechanical loading and can often accommodate substantial plastic deformation through the coupled motion of grain boundaries (GBs). This can produce desirable…

Mesoscale and Nanoscale Physics · Physics 2025-06-06 Daniel Bugas , Brandon Runnels

Jammed packings' mechanical properties depend sensitively on their detailed local structure. Here we provide a complete characterization of the pair correlation close to contact and of the force distribution of jammed frictionless spheres.…

Statistical Mechanics · Physics 2012-11-15 Patrick Charbonneau , Eric I. Corwin , Giorgio Parisi , Francesco Zamponi

We present a coupling of the Finite Element and the Boundary Element Method in an isogeometric framework to approximate either two-dimensional Laplace interface problems or boundary value problems consisting in two disjoint domains. We…

Numerical Analysis · Mathematics 2020-07-24 Mehdi Elasmi , Christoph Erath , Stefan Kurz

This paper presents a multi-scale modelling approach to investigate the underpinning mechanisms of microstructure-sensitive damage of single crystal Sn-3Ag-0.5Cu (wt%, SAC305) solder joints of a Ball Grid Array (BGA) board assembly subject…

A novel continuum theory of incoherent interfaces with triple junctions is applied to study three-dimensional coupled grain boundary (GB) motion in polycrystalline materials. The kinetic relations for grain dynamics, relative sliding and…

Materials Science · Physics 2017-02-08 Anup Basak , Anurag Gupta

The effect of moisture concentration and the thermal gradient on the free flexural vibration and buckling of laminated composite plates are investigated. The effect of a centrally located cutout on the global response is also studied. The…

Numerical Analysis · Mathematics 2013-11-14 Sundararajan Natarajan , Pratik S Deogekar

This paper is concerned with the problem of a semi-infinite crack steadily propagating in an elastic solid with microstructures subject to antiplane loading applied on the crack surfaces. The loading is moving with the same constant…

Mathematical Physics · Physics 2012-07-17 G. Mishuris , A. Piccolroaz , E. Radi

Fifteen marble samples were subjected to semi-brittle deformation through triaxial compression experiments, reaching axial strains of 0.5%, 1.0%, 2.0%, 4.0%, or 7.5% at temperatures of 20C, 200C, or 350C, under a confining pressure of 400…

Geophysics · Physics 2024-12-10 Tongzhang Qu , Nicolas Brantut , David Wallis , Christopher Harbord

Rate-effects in sheared disordered solids are studied using molecular dynamics simulations of binary Lennard-Jones glasses in two and three dimensions. In the quasistatic (QS) regime, systems exhibit critical behavior: the magnitudes of…

Soft Condensed Matter · Physics 2021-04-21 Joel T. Clemmer , K. Michael Salerno , Mark O. Robbins