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    Numerical Solution of Differential Equations 

    Source: Journal of Applied Mechanics:;1980:;volume( 047 ):;issue: 001:;page 218
    Author(s): Isaac Fried; T. Belytschko
    Publisher: The American Society of Mechanical Engineers (ASME)
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    Membrane Locking and Reduced Integration for Curved Elements 

    Source: Journal of Applied Mechanics:;1982:;volume( 049 ):;issue: 001:;page 172
    Author(s): H. Stolarski; T. Belytschko
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: The behavior of a curved beam element is studied by comparison to an analytic solution. In the curved beam element, curvature effects are incorporated through a “shallow-shell” type theory. It ...
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    On the Unconditional Stability of an Implicit Algorithm for Nonlinear Structural Dynamics 

    Source: Journal of Applied Mechanics:;1975:;volume( 042 ):;issue: 004:;page 865
    Author(s): T. Belytschko; D. F. Schoeberle
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: In this paper an implicit Newmark β-method with iterations for nonlinear structural dynamics is described; the algorithm is identical to standard algorithms except that a new convergence criterion ...
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    Numerical Methods for the Limit Analysis of Plates 

    Source: Journal of Applied Mechanics:;1968:;volume( 035 ):;issue: 004:;page 796
    Author(s): P. G. Hodge; T. Belytschko
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: The determination of upper and lower bounds on the yield-point loads of plates are formulated as mathematical programming problems by using finite element representations for the velocity and ...
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    Nonlinear Finite-Element Method for Plates and Its Application to Dynamic Response of Reactor Fuel Subassemblies 

    Source: Journal of Pressure Vessel Technology:;1974:;volume( 096 ):;issue: 004:;page 251
    Author(s): T. Belytschko; A. H. Marchertas
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: A finite-element procedure for transient analysis of plates and shells in three-dimensional space, and applicable to large displacements and nonlinear material properties, is described. This procedure ...
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    Eigenvalues and Stable Time Steps for the Uniform Strain Hexahedron and Quadrilateral 

    Source: Journal of Applied Mechanics:;1984:;volume( 051 ):;issue: 001:;page 35
    Author(s): D. P. Flanagan; T. Belytschko
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: Simple formulas for bounding the maximum eigenvalues or computing them exactly are obtained for the uniform strain eight-node hexahedron and the four-node quadrilateral. The development is based ...
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    A Finite-Element Method for a Solid Enclosing an Inviscid, Incompressible Fluid 

    Source: Journal of Applied Mechanics:;1973:;volume( 040 ):;issue: 002:;page 609
    Author(s): T. Belytschko; R. F. Kulak
    Publisher: The American Society of Mechanical Engineers (ASME)
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    Finite Element Study of Pressure Wave Attenuation by Reactor Fuel Subassemblies 

    Source: Journal of Pressure Vessel Technology:;1975:;volume( 097 ):;issue: 003:;page 172
    Author(s): T. Belytschko; J. M. Kennedy
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: The attenuation of pressure waves by the subassembly walls in a reactor core was studied by a two dimensional, finite element program. For these purposes, a hydro-dynamic finite element was ...
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    Simplified Direct Time Integration Boundary‐Element Method 

    Source: Journal of Engineering Mechanics:;1988:;Volume ( 114 ):;issue: 001
    Author(s): T. Belytschko; H. S. Chang
    Publisher: American Society of Civil Engineers
    Abstract: A direct time integration form of the boundary integral method is presented. This method is useful for treating structure‐media interaction problems where the structure is embedded in an infinite medium; problems of this ...
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    Self-Similar Crack Expansion Method for Three-Dimensional Crack Analysis 

    Source: Journal of Applied Mechanics:;1997:;volume( 064 ):;issue: 004:;page 729
    Author(s): Yonglin Xu; B. Moran; T. Belytschko
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: The self-similar crack expansion method is developed to calculate stress intensity factors for three-dimensional cracks in an infinite medium or semi-infinite medium by the boundary integral element ...
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