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    Numerical Modeling of Dynamic Crack Propagation in Finite Bodies, by Moving Singular Elements—Part 1: Formulation 

    Source: Journal of Applied Mechanics:;1980:;volume( 047 ):;issue: 003:;page 570
    Author(s): T. Nishioka; S. N. Atluri
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: An efficient numerical (finite-element) method is presented for the dynamic analysis of rapidly propagating cracks in finite bodies, of arbitrary shape, wherein linear-elastic material behavior and ...
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    Numerical Modeling of Dynamic Crack Propagation in Finite Bodies, by Moving Singular Elements—Part 2: Results 

    Source: Journal of Applied Mechanics:;1980:;volume( 047 ):;issue: 003:;page 577
    Author(s): T. Nishioka; S. N. Atluri
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: Using the moving-singularity finite-element method described in Part 1 of this paper, several problems of dynamic crack propagation in finite bodies have been analyzed. Discussions of the effects ...
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    An Embedded Elliptical Crack, in an Infinite Solid, Subject to Arbitrary Crack-Face Tractions 

    Source: Journal of Applied Mechanics:;1981:;volume( 048 ):;issue: 001:;page 88
    Author(s): K. Vijayakumar; S. N. Atluri
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: In this paper, following a critical assessment of earlier work of Green and Sneddon, Segedin, Kassir, and Sih (who obtained solutions for specific cases of normal loading on the crack face ...
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    Finite Elasticity Solutions Using Hybrid Finite Elements Based on a Complementary Energy Principle 

    Source: Journal of Applied Mechanics:;1978:;volume( 045 ):;issue: 003:;page 539
    Author(s): H. Murakawa; S. N. Atluri
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: The possibility of deriving a complementary energy principle, for the incremental analysis of finite deformations of nonlinear-elastic solids, in terms of incremental Piola-Lagrange (unsymmetric) ...
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    The First-Order Variation of the Displacement Field Due to Geometrical Changes in an Elliptical Crack 

    Source: Journal of Applied Mechanics:;1990:;volume( 057 ):;issue: 003:;page 639
    Author(s): T. Nishioka; S. N. Atluri
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: Analytical expressions are derived for the derivatives of the crack-surface displacement field, with respect to the lengths of the major and minor axes, respectively, of an elliptical crack ...
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    Analysis of Embedded and Surface Elliptical Flaws in Transversely Isotropic Bodies by the Finite Element Alternating Method 

    Source: Journal of Applied Mechanics:;1991:;volume( 058 ):;issue: 002:;page 435
    Author(s): H. Rajiyah; S. N. Atluri
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: The general analytical solution to the problem of a flat elliptical crack embedded in an infinite, transversely isotropic solid, oriented perpendicular to the axis of elastic symmetry, is derived ...
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    A New Endochronic Approach to Computational Elastoplasticity: Example of a Cyclically Loaded Cracked Plate 

    Source: Journal of Applied Mechanics:;1985:;volume( 052 ):;issue: 004:;page 857
    Author(s): O. Watanabe; S. N. Atluri
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: In this paper, a methodology for finite-element elastoplastic analyses of structures subjected to cyclic loading, based on a new form of endochronic (internal time) plasticity theory, is presented. ...
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    Finite Elasticity Solutions Using Hybrid Finite Elements Based on a Complementary Energy Principle—Part 2: Incompressible Materials 

    Source: Journal of Applied Mechanics:;1979:;volume( 046 ):;issue: 001:;page 71
    Author(s): H. Murakawa; S. N. Atluri
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: In a companion paper [1], the authors presented a total Lagrangean rate formulation for a hybrid stress finite-element method, based on a rate complementary energy principle which involves both ...
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    Corrigendum: “On a Study of the Use of the (Ṫ) Integral in Fracture Analysis of Solids With Inelastic Rate-Constitutive Laws” (Journal of Pressure Vessel Technology, 1982, 104, pp. 331–337) 

    Source: Journal of Pressure Vessel Technology:;1983:;volume( 105 ):;issue: 001:;page 79
    Author(s): M. Nakagaki; S. N. Atluri
    Publisher: The American Society of Mechanical Engineers (ASME)
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    Analysis of Surface Flaw in Pressure Vessels by a New 3-Dimensional Alternating Method 

    Source: Journal of Pressure Vessel Technology:;1982:;volume( 104 ):;issue: 004:;page 299
    Author(s): T. Nishioka; S. N. Atluri
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: An alternating method, in conjunction with the finite element method and a newly developed analytical solution for an elliptical crack in an infinite solid, is used to determine stress intensity ...
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