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A granular system composed of frictional glass beads is simulated using the Discrete Element Method. The inter-grain forces are based on the Hertz contact law in the normal direction with frictional tangential force. The damping due to…

Geophysics · Physics 2017-12-06 Laure Lemrich , Paul A. Johnson , Robert Guyer , Xiaoping Jia , Jan Carmeliet

Upper bound limit analysis allows one to evaluate directly the ultimate load of structures without performing a cumbersome incremental analysis. In order to numerically apply this method to thin plates in bending, several authors have…

Numerical Analysis · Mathematics 2014-10-02 Jérémy Bleyer , Guillaume Carlier , Vincent Duval , Jean-Marie Mirebeau , Gabriel Peyré

In functionally graded materials (FGMs) fabricated using directed energy deposition (DED) additive manufacturing (AM), cracks may form due to interdendritic stress during solidification, the formation of intermetallics, or the buildup of…

Materials Science · Physics 2023-05-22 Zhening Yang , Hui Sun , Zi-Kui Liu , Allison M. Beese

A displacement-based, geometrically nonlinear finite element model is developed for lattice core sandwich panels modeled as 2-D equivalent single-layer (ESL), first-order shear deformation theory (FSDT) micropolar plates. The nonlinearity…

Applied Physics · Physics 2020-10-14 Praneeth Nampally , Anssi T. Karttunen , JN Reddy

In this paper we develop a new simple and effective isogeometric analysis for modeling thermal buckling of stiffened laminated composite plates with cutouts using level sets. We employ a first order shear deformation theory to approximate…

Computational Engineering, Finance, and Science · Computer Science 2022-01-11 Balakrishnan Devarajan

The mechanical response of a wet granular layer to imposed shear is studied experimentally at low applied normal stress. The granular material is immersed in water and the shear is applied by sliding a plate resting on the upper surface of…

Condensed Matter · Physics 2009-10-31 J. -C. Geminard , W. Losert , J. P. Gollub

A precise domain triangulation is recognized as indispensable for the accurate numerical approximation of differential operators within collocation methods, leading to a substantial reduction in discretization errors. An efficient finite…

Numerical Analysis · Mathematics 2025-07-15 G. Shylaja , V. Kesavulu Naidu , B. Venkatesh , S. M. Mallikarjunaiah

Seismogenic plate boundaries are presumed to behave in a similar manner to a densely packed granular medium, where fault and blocks systems rapidly rearrange the distribution of forces within themselves, as particles do in slowly sheared…

Strain gradient plasticity theories are being widely used for fracture assessment, as they provide a richer description of crack tip fields by incorporating the influence of geometrically necessary dislocations. Characterizing the behavior…

Numerical Analysis · Mathematics 2017-11-29 Emilio Martínez-Pañeda , Sundar Natarajan , Stéphane Bordas

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…

Materials Science · Physics 2021-10-05 S. K. Jalali , M. J. Beigrezaee , Nicola M. Pugno

Geometric particle-in-cell discretizations have been derived based on a discretization of the fields that is conforming with the de Rham structure of the Maxwell's equation and a standard particle-in-cell ansatz for the fields by deriving…

Numerical Analysis · Mathematics 2025-11-10 Katharina Kormann , Eric Sonnendrücker

Jammed packings of granular materials display complex mechanical response. For example, the ensemble-averaged shear modulus $\left\langle G \right\rangle$ increases as a power-law in pressure $p$ for static packings of soft spherical…

Processes of mixing and segregation in a packed bed of granular material stirred by a periodically moving rectangular bar are simulated by the discrete element method (DEM). Influence of mechanical properties of the particle material…

Soft Condensed Matter · Physics 2007-10-01 A. Dziugys , R. Navakas

A simple position-dependent body force-based confinement for simulating triaxial tests using the Discrete Element Method is presented. The said method is used to perform triaxial simulations on mono-disperse and segregated assemblies of…

Soft Condensed Matter · Physics 2024-05-27 Venkata Rama Manoj Pola , Ratna Kumar Annabattula

We present a theoretical and computational framework based on fractional calculus for the analysis of the nonlocal static response of cylindrical shell panels. The differ-integral nature of fractional derivatives allows an efficient and…

Computational Engineering, Finance, and Science · Computer Science 2022-06-29 Sai Sidhardh , Sansit Patnaik , Fabio Semperlotti

Laminated glass structures are formed by stiff layers of glass connected with a compliant plastic interlayer. Due to their slenderness and heterogeneity, they exhibit a complex mechanical response that is difficult to capture by…

Computational Engineering, Finance, and Science · Computer Science 2014-09-10 Alena Zemanová , Jan Zeman , Michal Šejnoha

This paper introduces an accurate edge-based smoothed finite element method (ES-FEM) for electromagnetic analysis for both two dimensional cylindrical and three dimensional cartesian systems, which shows much better performance in terms of…

Computational Engineering, Finance, and Science · Computer Science 2019-10-30 Yangfan Zhang , Pengfei Wang , Wenping Li , Shunchuan Yang

One essential question in material sciences is how to bridge the gap between the microscopic picture and a macroscopic description. The former involves contact forces and deformations, whereas the latter concerns tensorial quantities like…

Statistical Mechanics · Physics 2007-05-23 S. Luding

Functionally graded materials (FGMs) exhibit continuous property variations that enable unique functionalities and provide efficient platforms for systematic property optimization. Here, we report the fabrication of FGMs with graded…

Materials Science · Physics 2026-03-11 Sang J. Park , Ravi Gautam , Takashi Yagi , Rajkumar Modak , Hossein Sepehri-Amin , Ken-ichi Uchida

Application of finite element method and heat conductivity transfer model for calculation of temperature distribution in receiver for dish-Stirling concentrating solar system is described. The method yields discretized equations that are…

Computational Engineering, Finance, and Science · Computer Science 2007-05-23 Stanko Shtrakov , Anton Stoilov