A coupled 3D isogeometric and discrete element approach for modeling interactions between structures and granular matters

[1]  Peter Wriggers,et al.  A mortar formulation for 3D large deformation contact using NURBS-based isogeometric analysis and the augmented Lagrangian method , 2012 .

[2]  C. Liu,et al.  An isogeometric approach of two dimensional acoustic design sensitivity analysis and topology optimization analysis for absorbing material distribution , 2018, Computer Methods in Applied Mechanics and Engineering.

[3]  Peter Wriggers,et al.  A large deformation frictional contact formulation using NURBS‐based isogeometric analysis , 2011 .

[4]  Sung-Kie Youn,et al.  Isogeometric contact analysis using mortar method , 2012 .

[5]  Esteban Rougier,et al.  Computational Mechanics of Discontinua , 2011 .

[6]  A. Munjiza,et al.  Large Strain Finite Element Method: A Practical Course , 2015 .

[7]  H. Nguyen-Xuan,et al.  Isogeometric analysis of large-deformation thin shells using RHT-splines for multiple-patch coupling , 2017 .

[8]  A. Munjiza.  The Combined Finite-Discrete Element Method , 2004 .

[9]  Thomas J. R. Hughes,et al.  Isogeometric Analysis: Toward Integration of CAD and FEA , 2009 .

[10]  N. Nguyen‐Thanh,et al.  Geometrically nonlinear analysis of thin-shell structures based on an isogeometric-meshfree coupling approach , 2018, Computer Methods in Applied Mechanics and Engineering.

[11]  J. Plešek,et al.  Assessment of methods for computing the closest point projection, penetration, and gap functions in contact searching problems , 2016 .

[12]  Eugenio Oñate,et al.  Combination of discrete element and finite element methods for dynamic analysis of geomechanics problems , 2004 .

[13]  Tan Yuanqiang,et al.  A CUBIC ARRANGED SPHERICAL DISCRETE ELEMENT MODEL , 2014 .

[14]  Peter Wriggers,et al.  Contact treatment in isogeometric analysis with NURBS , 2011 .

[15]  F. Maio,et al.  Comparison of contact-force models for the simulation of collisions in DEM-based granular flow codes , 2004 .

[16]  Kaishin Liu,et al.  Application of Discrete Element Method for Continuum Dynamic Problems , 2006 .

[17]  Marianthi Ierapetritou,et al.  Discrete Element Modeling (DEM) for mixing of cohesive solids in rotating cylinders , 2018, Powder Technology.

[18]  David R. Owen,et al.  A combined finite/discrete element simulation of shot peening processes – Part II: 3D interaction laws , 2000 .

[19]  Eric Perkins,et al.  A contact algorithm for partitioning N arbitrary sized objects , 2004 .

[20]  P. Kerfriden,et al.  Isogeometric boundary element methods for three dimensional static fracture and fatigue crack growth , 2017 .

[21]  Giancarlo Sangalli,et al.  Isogeometric methods for computational electromagnetics: B-spline and T-spline discretizations , 2012, J. Comput. Phys..

[22]  Peter Wriggers,et al.  Computational Contact Mechanics , 2002 .

[23]  David R. Owen,et al.  An augmented spatial digital tree algorithm for contact detection in computational mechanics , 2002 .

[24]  T. Hughes,et al.  Isogeometric analysis : CAD, finite elements, NURBS, exact geometry and mesh refinement , 2005 .

[25]  R. Brent.  Some Efficient Algorithms for Solving Systems of Nonlinear Equations , 1973 .

[26]  P. Hazell,et al.  An accurate and robust contact detection algorithm for particle‐solid interaction in combined finite‐discrete element analysis , 2015 .

[27]  Wei Gao,et al.  Discrete element analysis of the particle mixing performance in a ribbon mixer with a double U-shaped vessel , 2019, Granular Matter.

[28]  Jiansheng Xiang,et al.  Finite strain, finite rotation quadratic tetrahedral element for the combined finite–discrete element method , 2009 .

[29]  F. Armero,et al.  Formulation and analysis of conserving algorithms for frictionless dynamic contact/impact problems , 1998 .

[30]  David R. Owen,et al.  Energy-conserving contact interaction models for arbitrarily shaped discrete elements , 2012 .

[31]  Mengyan Zang,et al.  Investigation of impact fracture behavior of automobile laminated glass by 3D discrete element method , 2007 .

[32]  Tan Yuanqiang,et al.  A virtual-surface contact algorithm for the interaction between FE and spherical DE , 2016 .

[33]  Manfred Bischoff,et al.  A point to segment contact formulation for isogeometric, NURBS based finite elements , 2013 .

[34]  Thomas J. R. Hughes,et al.  Variationally consistent isogeometric analysis of trimmed thin shells at finite deformations, based on the STEP exchange format , 2018, Computer Methods in Applied Mechanics and Engineering.

[35]  Peter Wriggers,et al.  Isogeometric contact: a review , 2014 .

[36]  D. V. Griffiths,et al.  Modelling of elastic continua using a grillage of structural elements based on discrete element concepts , 2001 .

[37]  Y. Feng,et al.  A coupled 3D discrete elements/isogeometric method for particle/structure interaction problems , 2019, Computational Particle Mechanics.

[38]  Mohamed A. Meguid,et al.  A finite–discrete element framework for the 3D modeling of geogrid–soil interaction under pullout loading conditions , 2013 .

[39]  Michel Cosnard,et al.  Numerical Solution of Nonlinear Equations , 1979, TOMS.

[40]  Hitoshi Hattori,et al.  Turbocharger flow computations with the Space-Time Isogeometric Analysis (ST-IGA) , 2017 .

[41]  Alessandro Reali,et al.  Isogeometric Analysis of Structural Vibrations , 2006 .

[42]  Y. Feng,et al.  A 2D polygon/polygon contact model: algorithmic aspects , 2004 .

[43]  Hu Guoming,et al.  A new algorithm for contact detection between spherical particle and triangulated mesh boundary in discrete element method simulations , 2013 .

[44]  P. Cundall,et al.  A discrete numerical model for granular assemblies , 1979 .

[45]  Loc V. Tran,et al.  Nonlinear transient isogeometric analysis of smart piezoelectric functionally graded material plates based on generalized shear deformation theory under thermo-electro-mechanical loads , 2017 .

[46]  P. Cundall,et al.  A bonded-particle model for rock , 2004 .

[47]  David R. Owen,et al.  Performance comparisons of tree‐based and cell‐based contact detection algorithms , 2007 .

[48]  Min Wang,et al.  Numerical investigation of initiation and propagation of hydraulic fracture using the coupled Bonded ParticleLattice Boltzmann Method , 2017 .

[49]  Mohamed A. Meguid,et al.  An efficient finite–discrete element method for quasi‐static nonlinear soil–structure interaction problems , 2013 .

[50]  Zumei Zheng,et al.  An improved 3D DEM-FEM contact detection algorithm for the interaction simulations between particles and structures , 2017 .

[51]  Miquel Santasusana Isach.  Numerical techniques for non-linear analysis of structures combining discrete element and finite element methods , 2016 .

[52]  Mengyan Zang,et al.  The simulation of laminated glass beam impact problem by developing fracture model of spherical DEM , 2014 .

[53]  Sven Oliver Klinkel,et al.  A scaled boundary isogeometric formulation for the elasto-plastic analysis of solids in boundary representation , 2018 .

[54]  P. Wriggers,et al.  Isogeometric frictionless contact analysis with the third medium method , 2018 .

[55]  Liu Kai-Xin,et al.  The application of discrete element method in solving three-dimentional impact dynamics problems , 2003 .

[56]  G. R. Hext,et al.  Sequential Application of Simplex Designs in Optimisation and Evolutionary Operation , 1962 .

[57]  T. Laursen,et al.  DESIGN OF ENERGY CONSERVING ALGORITHMS FOR FRICTIONLESS DYNAMIC CONTACT PROBLEMS , 1997 .

[58]  Marco S. Pigazzini,et al.  A new multi-layer approach for progressive damage simulation in composite laminates based on isogeometric analysis and Kirchhoff–Love shells. Part I: basic theory and modeling of delamination and transverse shear , 2018 .

[59]  P. Wriggers,et al.  Isogeometric large deformation frictionless contact using T-splines , 2014 .

[60]  Fei Wang,et al.  The modelling of multi‐fracturing solids and particulate media , 2004 .

[61]  Mengyan Zang,et al.  A contact algorithm for 3D discrete and finite element contact problems based on penalty function method , 2011 .