Shape optimization directly from CAD: An isogeometric boundary element approach using T-splines

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

[2]  Stéphane Bordas,et al.  Linear elastic fracture simulation directly from CAD: 2D NURBS-based implementation and role of tip enrichment , 2017, International Journal of Fracture.

[3]  Stéphane Bordas,et al.  Implementation of regularized isogeometric boundary element methods for gradient‐based shape optimization in two‐dimensional linear elasticity , 2016 .

[4]  S. C. Wu,et al.  Thermal crack growth-based fatigue life prediction due to braking for a high-speed railway brake disc , 2016 .

[5]  Olaf Steinbach,et al.  Boundary element based multiresolution shape optimisation in electrostatics , 2015, J. Comput. Phys..

[6]  John A. Evans,et al.  Isogeometric collocation: Neumann boundary conditions and contact , 2015 .

[7]  Panagiotis D. Kaklis,et al.  Ship-hull shape optimization with a T-spline based BEM-isogeometric solver , 2015 .

[8]  Vinh Phu Nguyen,et al.  Isogeometric analysis: An overview and computer implementation aspects , 2012, Math. Comput. Simul..

[9]  S. Bordas,et al.  An extended finite element method (XFEM) for linear elastic fracture with smooth nodal stress , 2017 .

[10]  Stéphane Bordas,et al.  GEOMETRY-INDEPENDENT FIELD APPROXIMATION FOR SPLINE-BASED FINITE ELEMENT METHODS , 2014 .

[11]  M. Scott,et al.  Acoustic isogeometric boundary element analysis , 2014 .

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

[13]  Yigang Wang,et al.  A meshfree-based local Galerkin method with condensation of degree of freedom for elastic dynamic analysis , 2014 .

[14]  Ernst Rank,et al.  Weak coupling for isogeometric analysis of non-matching and trimmed multi-patch geometries , 2014 .

[15]  Vinh Phu Nguyen,et al.  Nitsche’s method for two and three dimensional NURBS patch coupling , 2013, 1308.0802.

[16]  Alessandro Reali,et al.  Isogeometric Collocation: Cost Comparison with Galerkin Methods and Extension to Adaptive Hierarchical NURBS Discretizations , 2013 .

[17]  Régis Duvigneau,et al.  Constructing analysis-suitable parameterization of computational domain from CAD boundary by variational harmonic method , 2013, J. Comput. Phys..

[18]  Stéphane Bordas,et al.  Stress analysis without meshing: isogeometric boundary-element method , 2013 .

[19]  John A. Evans,et al.  Isogeometric boundary element analysis using unstructured T-splines , 2013 .

[20]  Régis Duvigneau,et al.  Analysis-suitable volume parameterization of multi-block computational domain in isogeometric applications , 2013, Comput. Aided Des..

[21]  Long Chen.  FINITE ELEMENT METHOD , 2013 .

[22]  J. Trevelyan,et al.  An isogeometric boundary element method for elastostatic analysis: 2D implementation aspects , 2013, 1302.5305.

[23]  K. Maute,et al.  Levelset based fluid topology optimization using the extended finite element method , 2012 .

[24]  T. Rabczuk,et al.  A two-dimensional Isogeometric Boundary Element Method for elastostatic analysis , 2012 .

[25]  Antonio Huerta,et al.  NURBS-Enhanced Finite Element Method ( NEFEM ) A Seamless Bridge Between CAD and FEM , 2012 .

[26]  Thomas J. R. Hughes,et al.  On linear independence of T-spline blending functions , 2012, Comput. Aided Geom. Des..

[27]  Bert Jüttler,et al.  Existence of stiffness matrix integrals for singularly parameterized domains in isogeometric analysis , 2011 .

[28]  B. Simeon,et al.  A hierarchical approach to adaptive local refinement in isogeometric analysis , 2011 .

[29]  Yuri Bazilevs,et al.  Rotation free isogeometric thin shell analysis using PHT-splines , 2011 .

[30]  Ping Wang,et al.  Adaptive isogeometric analysis using rational PHT-splines , 2011, Comput. Aided Des..

[31]  Kang Li,et al.  Isogeometric analysis and shape optimization via boundary integral , 2011, Comput. Aided Des..

[32]  A. Huerta,et al.  NURBS-Enhanced Finite Element Method (NEFEM) , 2011 .

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

[34]  M. Bendsøe,et al.  Topology Optimization: "Theory, Methods, And Applications" , 2011 .

[35]  John A. Evans,et al.  Isogeometric finite element data structures based on Bézier extraction of NURBS , 2011 .

[36]  Régis Duvigneau,et al.  Parameterization of computational domain in isogeometric analysis: Methods and comparison , 2011 .

[37]  H. Nguyen-Xuan,et al.  Isogeometric analysis using polynomial splines over hierarchical T-meshes for two-dimensional elastic solids , 2011 .

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

[39]  Kjell Magne Mathisen,et al.  Isogeometric analysis of finite deformation nearly incompressible solids , 2011 .

[40]  Jens Gravesen,et al.  Isogeometric Shape Optimization of Vibrating Membranes , 2011 .

[41]  T. Hughes,et al.  ISOGEOMETRIC COLLOCATION METHODS , 2010 .

[42]  T. Belytschko,et al.  A generalized finite element formulation for arbitrary basis functions: From isogeometric analysis to XFEM , 2010 .

[43]  Régis Duvigneau,et al.  Optimal analysis-aware parameterization of computational domain in 3D isogeometric analysis , 2010, Comput. Aided Des..

[44]  Xiaoping Qian.  Full analytical sensitivities in NURBS based isogeometric shape optimization , 2010 .

[45]  Marino Arroyo,et al.  On the optimum support size in meshfree methods: A variational adaptivity approach with maximum‐entropy approximants , 2010 .

[46]  G. Sangalli,et al.  Linear independence of the T-spline blending functions associated with some particular T-meshes , 2010 .

[47]  Kyung K. Choi,et al.  Numerical method for shape optimization using T-spline based isogeometric method , 2010 .

[48]  G. Sangalli,et al.  Isogeometric analysis in electromagnetics: B-splines approximation , 2010 .

[49]  Kurt S. Anderson,et al.  An efficient direct differentiation approach for sensitivity analysis of flexible multibody systems , 2010 .

[50]  Thomas J. R. Hughes,et al.  Isogeometric shell analysis: The Reissner-Mindlin shell , 2010 .

[51]  John A. Evans,et al.  Isogeometric analysis using T-splines , 2010 .

[52]  B. Simeon,et al.  Adaptive isogeometric analysis by local h-refinement with T-splines , 2010 .

[53]  Panagiotis D. Kaklis,et al.  An isogeometric BEM for exterior potential-flow problems in the plane , 2009, Symposium on Solid and Physical Modeling.

[54]  Martin Aigner,et al.  Swept Volume Parameterization for Isogeometric Analysis , 2009, IMA Conference on the Mathematics of Surfaces.

[55]  Seung-Hyun Ha,et al.  Isogeometric shape design optimization: exact geometry and enhanced sensitivity , 2009 .

[56]  Marc Duflot,et al.  Meshless methods: A review and computer implementation aspects , 2008, Math. Comput. Simul..

[57]  T. Hughes,et al.  Isogeometric fluid-structure interaction: theory, algorithms, and computations , 2008 .

[58]  W. Wall,et al.  Isogeometric structural shape optimization , 2008 .

[59]  Stéphane Bordas,et al.  An extended finite element library , 2007 .

[60]  Bhushan Lal Karihaloo,et al.  Implementation of hybrid crack element on a general finite element mesh and in combination with XFEM , 2007 .

[61]  L. Van Miegroet,et al.  Stress concentration minimization of 2D filets using X-FEM and level set description , 2007 .

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

[63]  Stéphane Bordas,et al.  Enriched finite elements and level sets for damage tolerance assessment of complex structures , 2006 .

[64]  Zhi-qian Zhang,et al.  Shape optimization using reproducing kernel particle method and an enriched genetic algorithm , 2005 .

[65]  Claude Fleury,et al.  Generalized Shape Optimization Using X-FEM and Level Set Methods , 2005 .

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

[67]  Bhushan Lal Karihaloo,et al.  Direct evaluation of accurate coefficients of the linear elastic crack tip asymptotic field , 2003 .

[68]  Ahmad H. Nasri,et al.  T-splines and T-NURCCs , 2003, ACM Trans. Graph..

[69]  Subrata Mukherjee,et al.  Meshless approach to shape optimization of linear thermoelastic solids , 2002 .

[70]  Subrata Mukherjee,et al.  Shape sensitivity analysis and shape optimization in planar elasticity using the element-free Galerkin method , 2001 .

[71]  Ole Sigmund,et al.  A 99 line topology optimization code written in Matlab , 2001 .

[72]  P. W. Randles,et al.  Normalized SPH with stress points , 2000 .

[73]  Y. Liu.  On the simple-solution method and non-singular nature of the BIE / BEM Ð a review and some new results , 2000 .

[74]  W. Shyy,et al.  Regular Article: An Accurate Cartesian Grid Method for Viscous Incompressible Flows with Complex Immersed Boundaries , 1999 .

[75]  Yijun Liu,et al.  New identities for fundamental solutions and their applications to non-singular boundary element formulations , 1999 .

[76]  Ted Belytschko,et al.  Elastic crack growth in finite elements with minimal remeshing , 1999 .

[77]  Ted Belytschko,et al.  Numerical integration of the Galerkin weak form in meshfree methods , 1999 .

[78]  Subrata Mukherjee,et al.  Stresses, stress sensitivities and shape optimization in two‐dimensional linear elasticity by the Boundary Contour Method , 1998 .

[79]  S. Atluri,et al.  A new Meshless Local Petrov-Galerkin (MLPG) approach in computational mechanics , 1998 .

[80]  J. Petersson,et al.  Numerical instabilities in topology optimization: A survey on procedures dealing with checkerboards, mesh-dependencies and local minima , 1998 .

[81]  Alan Carle,et al.  Preliminary Results from the Application of Automated Adjoint Code Generation to CFL3D , 1998 .

[82]  S. Biringen,et al.  Numerical Simulation of a Cylinder in Uniform Flow , 1996 .

[83]  Wing Kam Liu,et al.  Reproducing kernel particle methods , 1995 .

[84]  K. Yamazaki,et al.  Three-dimensional shape optimization using the boundary element method , 1994 .

[85]  S. Mukherjee,et al.  Shape optimization in elasticity and elasto-viscoplasticity by the boundary element method , 1994 .

[86]  T. Belytschko,et al.  Element‐free Galerkin methods , 1994 .

[87]  Yijun Liu,et al.  Some identities for fundamental solutions and their applications to weakly-singular boundary element formulations , 1991 .

[88]  Massimo Guiggiani,et al.  The evaluation of cauchy principal value integrals in the boundary element method-a review , 1991 .

[89]  Ren-Jye Yang,et al.  Component shape optimization using bem , 1990 .

[90]  M. Bendsøe.  Optimal shape design as a material distribution problem , 1989 .

[91]  David R. Forsey,et al.  Hierarchical B-spline refinement , 1988, SIGGRAPH.

[92]  J. Telles.  A self-adaptive co-ordinate transformation for efficient numerical evaluation of general boundary element integrals , 1987 .

[93]  K. Svanberg.  The method of moving asymptotes—a new method for structural optimization , 1987 .

[94]  J. Nitsche.  Über ein Variationsprinzip zur Lösung von Dirichlet-Problemen bei Verwendung von Teilräumen, die keinen Randbedingungen unterworfen sind , 1971 .

[95]  T. A. Cruse,et al.  Numerical solutions in three dimensional elastostatics , 1969 .

[96]  T. Cruse,et al.  A direct formulation and numerical solution of the general transient elastodynamic problem. II , 1968 .

[97]  Frank J. Rizzo,et al.  An integral equation approach to boundary value problems of classical elastostatics , 1967 .

[98]  G. T. Symm,et al.  Integral equation methods in potential theory. II , 1963, Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences.

[99]  M. A. Jaswon.  Integral equation methods in potential theory. I , 1963, Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences.