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R. Radovitzky and M. Ortiz. Error estimation and adaptive meshing in strongly nonlinear dynamic problems. Computer Methods in Applied Mechanics and Engineering, 1998.

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TECHNICAL REPORT 013 "Finite Element Analysis of Nonsmooth.. - Kane Repetto Ortiz   Self-citation (Ortiz)   (Correct)

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R. Radovitzky and M. Ortiz. Error estimation and adaptive meshing in strongly nonlinear dynamic problems. Computer Methods in Applied Mechanics and Engineering, 1998.


rspa.2003.1179 - The Mechanics Of   Self-citation (Ortiz)   (Correct)

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Radovitzky, R. & Ortiz, M. 1999 Error estimation and adaptive meshing in strongly nonlinear dynamic problems. Comput. Meth. Appl. Mech. Engng 172, 203-240.


International Journal For Numerical Methods In Engineering - Int Numer Meth   Self-citation (Ortiz)   (Correct)

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Radovitzky R, Ortiz M. Error estimation and adaptive meshing in strongly non-linear dynamic problems. Computer Methods in Applied Mechanics and Engineering 1999; 172(1--4):203--240.


A study of surface roughening in fcc metals using direct - Numerical Simulation Zhao   Self-citation (Radovitzky)   (Correct)

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Radovitzky R, Ortiz M. Error estimation and adaptive meshing in strongly nonlinear dynamic problems. Comput Meth Appl Mech Eng 1999;172(1--4):203--40.


Finite Element Analysis of Nonsmooth Contact - Kane, Repetto, Ortiz, Marsden (1999)   Self-citation (Ortiz)   (Correct)

....take h to denote the discretized deformation field or the array of nodal coordinates in the deformed configuration. For simplicity,we shall assume the solid to be elastic. Extensions to inelasticity may be effected simply by the introduction of incremental energy densities such as described in [47]. 7 3.1 The unconstrained case In the absence of contact constraints, the action functional for the solid is of the form I[ h ] Z T 0 1 2 T h M h h ; OE( h ) f ext Delta h dt (3.1) where M h is the mass matrix of the solid, OE( h ) denotes its strain energy and f ....

R. Radovitzky and M. Ortiz. Error estimation and adaptive meshing in strongly nonlinear dynamic problems. Computer Methods in Applied Mechanics and Engineering, 1998.


Tetrahedral Mesh Generation Based on Node Insertion in . . . - Radovitzky, al. (1998)   Self-citation (Radovitzky Ortiz)   (Correct)

....is adopted in which edges are meshed first, followed by faces and finally sub bodies. An underlying element size distribution function is assumed to be defined throughout the domain to be meshed. In the case of remeshing, this distribution follows from suitably defined error estimates (e.g. [50]) A preliminary surface mesh is generated byanadvancing front method, with the nodes inserted by hard sphere packing in physical space. The hard sphere packing construction provides a natural means of inserting nodes on a surface in accordance with a prescribed mesh density. Interior nodes are ....

....remeshing, in which case the discretization of the domain is furnished by the old mesh. In all cases, the geometry of the edges is 6 always described by piecewise quadratic interpolation. From the standpoint of mechanics, the local mesh size derives from suitably defined error estimates (e.g. [50]) or other remeshing indicators. However, the local mesh size required to resolve the solution may be too coarse to adequately represent the geometry of the domain of analysis. An example is provided by a solid undergoing a rigid body motion, in which case the size of the mesh is not restricted by ....

R. Radovitzky and M. Ortiz. Error estimation and adaptive meshing in strongly nonlinear dynamic problems. Computer Methods in Applied Mechanics and Engineering, 1998.


Finite Element Analysis of Nonsmooth Contact - Kane, Repetto, Ortiz, Marsden (1999)   Self-citation (Ortiz)   (Correct)

....take h to denote the discretized deformation field or the array of nodal coordinates in the deformed configuration. For simplicity, we shall assume the solid to be elastic. Extensions to inelasticity may be effected simply by the introduction of incremental energy densities such as described in [47]. 7 3.1 The unconstrained case In the absence of contact constraints, the action functional for the solid is of the form I[ h ] Z T 0 1 2 T h M h h Gamma OE( h ) f ext Delta h dt (3.1) where M h is the mass matrix of the solid, OE( h ) denotes its strain energy and f ....

R. Radovitzky and M. Ortiz. Error estimation and adaptive meshing in strongly nonlinear dynamic problems. Computer Methods in Applied Mechanics and Engineering, 1998.


Caltech Asci Technical Report 136 - Level Set Approach   (Correct)

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R. Radovitzky and M. Ortiz, Error estimation and adaptive meshing in strongly nonlinear dynamic problems, Computer Methods in Applied Mechanics and Engineering 172, 203 (1999).

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