Satya N. Atluri Wing-Kam Liu, Vice President (2008)
Klaus-jürgen Bathe, Ahmed K. Noor, Ted Belytschko, J. Tinsley Oden, David Benson, Michael Ortiz, ...
Scientific Program Committee: The Scientific Program Committee rosters current members of the Executive Committee of the U.S. Association for Computational Mechanics. It also includes USACM friends...
Discontinuous Radial Basis Function Approximations for Meshfree Methods (2008)
Summary. Meshfree methods with discontinuous radial basis functions and their numerical implementation for elastic problems are presented. We study the following radial basis functions: the...
Christophe Daux, Nicolas Moes, John Dolbow, Natarajan Sukumar, Ted Belytschko
the extended nite element method
On Adaptivity and Error Criteria for Meshfree Methods (2007)
Ted Belytschko, Wing Kam Liu, Mike Singer
INTRODUCTION Much of theory of error indicators and error estimators which has been developed in the context of finite elements is applicable to all Galerkin methods. Consequently, the methodologies...
2000b). Modeling fracture in Mindlin-Reissner plates with the extended finite element method (2007)
A technique for the modeling of cracks and crack growth in plates using the eXtended Finite Element Method (X-FEM) is presented. Beginning with a plate formulation which does not exhibit shear...
An extended nite element method for modeling (2007)
crack growth with frictional contact
INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING (2007)
Ted Belytschko, U Parimi, Nicolas Moes, N. Sukumar, Shuji Usui
Structured extended nite element methods for solids de ned by implicit surfaces
Mai-Duy, Nam, Tran-Cong, Thanh, Babuška, Ivo, Belytschko, Ted, Griebel, Michael, Huerta, Antonio, ...
[Summary]: This paper presents a global meshless technique based on integratedradial basis function networks (RBFNs) for solving second- and fourth-order ellipticpartial di®erential equations...
Khare, Roopam, Mielke, Steven L., Paci, Jeffrey T., Zhang, Sulin, Ballarini, Roberto, Schatz, George C., ...
Coupled quantum mechanical/molecular mechanical (QM/MM) calculations were used to study the effects of large defects and cracks on the mechanical properties of carbon nanotubes and graphene sheets....
Computational Methods for Material Failure Processes (2006)
Computational Methods are developed for failure problems such as shear banding. H-Adaptive procedures for the finite element solution of transient solid mechanics problems are studied, with...
Associate Vice President for Research (2006)
Rreevvoolluuttiioonniizziinngg Eennggiinneeeerriinngg Sscciieennccee, Tthhrroouugghh Ssiimmuullaattiioonn, Ted Belytschko, Mccormick Professor, Jacob Fish, ...
iii iv v vi
Associate Vice President for Research (2006)
Rreevvoolluuttiioonniizziinngg Eennggiinneeeerriinngg Sscciieennccee, Tthhrroouugghh Ssiimmuullaattiioonn, Ted Belytschko, Mccormick Professor, Jacob Fish, ...
iii iv v vi
Associate Vice President for Research (2006)
Rreevvoolluuttiioonniizziinngg Eennggiinneeeerriinngg Sscciieennccee, Tthhrroouugghh Ssiimmuullaattiioonn, Ted Belytschko, Mccormick Professor, ...
ii ii A Report of the National Science Foundation
Associate Vice President for Research (2006)
Rreevvoolluuttiioonniizziinngg Eennggiinneeeerriinngg Sscciieennccee, Tthhrroouugghh Ssiimmuullaattiioonn, Ted Belytschko, Mccormick Professor, ...
ii ii A Report of the National Science Foundation
Northwestern University (2005)
J. Tinsley Oden, Ted Belytschko, Jacob Fish, Chris Johnson, David Keyes, ...
Dynamic Fracture of Concrete and Other Heterogeneous Materials. (2002)
Bazant,Zdenek P., Belytschko,Ted
Damage in concrete is characterized by microcracking and/or the development of large cracks. In this study, the physics underlying the relationships between microcracks and damage and the...
John Dolbow, Nicolas Moes, Ted Belytschko
A technique is presented to model arbitrary discontinuities in the finite element framework by locally enriching a displacement-based approximation through a partition of unity method. This technique...
basis for unstructured meshless (1999)
efficient linear-precision partition of unity
Numerical Integration of the Galerkin Weak Form in Meshfree Methods (1999)
John Dolbow And, John Dolbow, Ted Belytschko
The numerical integration of Galerkin weak forms for meshfree methods is investigated and some improvements are presented. The character of the shape functions in meshfree methods is reviewed and...
Penetration Mechanics with an Arbitrary Lagrangian Eulerian Finite Element Code. (1998)
Methodologies for Arbitrary Lagrangian Eulerian (ALE) formulations for the treatment of penetration problems are studied. These methods are attractive because they would permit far more economical...
Adaptive Finite Element Methods for Shells. (1998)
Belytschko, Ted, Liu, Wing K., Chang, Hsiu-Guo
An adaptive finite element procedure is developed for the transient analysis of nonlinear shells. The scheme is an h-method which employs fission and fusion. Criteria based on incremental work and...
Fission-Fusion Adaptivity in Finite Elements for Nonlinear Dynamics of Shells. (1998)
An adaptive finite element procedure is developed for the transient analysis of nonlinear shells. The scheme is an h-method which employs fission and fusion of elements to adaptively refine and...
Contact-Impact Algorithms for Penetration Studies. (1998)
Belytschko, Ted, Liu, Wing K., O'Neal, Mark
Contact impact algorithms, which are sometimes called slideline algorithms, are a computationally time-consuming part of many explicit simulations of nonlinear problems. One of the reasons for their...
Fission-Fusion Adaptivity in Finite Elements for Nonlinear Dynamics of Shells. (1998)
The objective of this work was to develop adaptive finite element analysis methods for nonlinear structural dynamics. Adaptive methods are particularly promising for nonlinear problems involving...
Finite Element Technology for Penetration Problems. (1998)
Finite element methods for penetration mechanics are developed. A pinball contact-impact algorithm which is easily vectorizable has been implemented on partitioned memory SIMD computers. The pinball...
Finite Element Technology for Penetration Problems, (1998)
Finite element methods for penetration mechanics are developed. A pinball contact-impact algorithm which is easily vectorizable has been implemented on partitioned memory SIMD computers. The pinball...
Gridless Computational Methods for Penetration Mechanics (1998)
Efficient and accurate gridless methods were developed for the simulation of the nonlinear response of solids. Such methods are of potential usefulness in penetration mechanics because they...
Failure Prediction of Underwater Structures - Subdomain Decomposition and Meshfree Methods (1998)
Meshfree methods for fracture have been extended by considering more general classes of basis functions. These methods do not require any elements, and boundaries and interfaces, such as cracks, are...
Petr Krysl, Ted Belytschko, Mechanical Engineering
We present a library for the computation of the shape functions for the element free Galerkin (EFG) method. While the EFG method is in many respects strikingly similar to the finite element method,...
Arbitrary Lagrangian-Eulerian formulation for element-free Galerkin method (1998)
Ponthot, Jean-Philippe, Belytschko, Ted
Arbitrary Lagrangian-Eulerian (ALE) formulation of the Element Free Galerkin (EFG) method is presented. EFG is a meshless method for solving partial differential equations in which the trial and test...
Crack Propagation by Element-Free Galerkin Methods (1997)
The element-free Galerkin (EFG) method is a mesh-free method for solving solid mechanics problems with an approximation based only on nodes. It is developed here for linear elastic fracture problems....
Analysis of thin plates by the element-free Galerkin method (1996)
1 Introduction There is a growing interest in the so-called "meshless " methods. It might be partly traced to high costs involved in meshing procedures. Modelling of adapting domain...
Analysis of thin plates by the element-free Galerkin method (1996)
A meshless approach to the analysis of arbitrary Kirchhoff plates by the Element-Free Galerkin (EFG) method is presented. The method is based on moving least squares approximant. The method is...
Analysis of Thin Shells by the Element-Free Galerkin Method (1996)
A meshless approach to the analysis of arbitrary Kirchhoff shells by the Element-Free Galerkin (EFG) method is presented. The shell theory used is geometrically exact and can be applied to deep...
with Non-Integer Time Step Ratios for Structural Dynamic (1988)
Principal Investigator, Ted Belytschko, Scelhpbe Seikianeuhl, Exogress Lrfcrt, Mark Neal, Ted Belytschko, ...
access to several parallel computing machines, is also appreciated. The following papers supported by NASA-Langley were submitted for publication: