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    Review of the Basic Elastic Mechanical Properties and Their Realignment to Establish Ductile Versus Brittle Failure Behaviors 

    Source: Applied Mechanics Reviews:;2023:;volume( 075 ):;issue: 003:;page 31001
    Author(s): Christensen, Richard M.
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: The underlying formalism of isotropic elasticity theory is shown to benefit from a review and reexamination of its structure thereby yielding a realignment of the basic moduli type properties. When this is accomplished the ...
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    Review of the Basic Elastic Mechanical Properties and Their Realignment to Establish Ductile Versus Brittle Failure Behaviors 

    Source: Applied Mechanics Reviews:;2023:;volume( 075 ):;issue: 003:;page 31001-1
    Author(s): Christensen, Richard M.
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: The underlying formalism of isotropic elasticity theory is shown to benefit from a review and re-examination of its structure thereby yielding a re-alignment of the basic moduli type properties. When this is accomplished ...
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    The Three Controlling Modes of Failure in Homogeneous and Isotropic Materials With Proof Thereof Through Critical Plane Stress Conditions 

    Source: Journal of Applied Mechanics:;2021:;volume( 089 ):;issue: 001:;page 11010-1
    Author(s): Christensen, Richard M.
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: The recently developed general materials failure theory is specialized to the two-dimensional state of plane stress. It takes a form that is virtually no more involved than that of the Mises criterion. Yet it remains ...
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    The Failure Theory for Isotropic Materials: Proof and Completion 

    Source: Journal of Applied Mechanics:;2020:;volume( 087 ):;issue: 005:;page 051001-1
    Author(s): Christensen, Richard M.
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: This work represents the completion of the many developments in recent years on failure theory for homogeneous and isotropic materials. Presented here is the resulting failure formalism in final and technically complete ...
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    The Ductile/Brittle Transition for Materials Failure—Atomic Scale to Macroscopic Scale 

    Source: Journal of Applied Mechanics:;2024:;volume( 091 ):;issue: 005:;page 51003-1
    Author(s): Christensen, Richard M.
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: This work is the continuation and completion to that initiated in the studies by Christensen (2022, “Perspective on the Bond Bending and Bond Stretching Effects of the Atomic Scale and Their Relationship to Ductile Versus ...
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    Failure Mechanics—Part III: A Call to Service With Solid Mechanics 

    Source: Journal of Applied Mechanics:;2015:;volume( 082 ):;issue: 004:;page 41001
    Author(s): Christensen, Richard M.
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: The case is made for the present and future revitalization of the discipline of materials failure, including needed educational reforms.
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    Failure Mechanics—Part I: The Coordination Between Elasticity Theory and Failure Theory for all Isotropic Materials 

    Source: Journal of Applied Mechanics:;2014:;volume( 081 ):;issue: 008:;page 81001
    Author(s): Christensen, Richard M.
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: Failure mechanics is comprised of the failure theory for homogeneous and isotropic materials along with all of its implications and applications. The present failure theory is found to have an intimate connection with ...
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    Failure Mechanics—Part II: The Central and Decisive Role of Graphene in Defining the Elastic and Failure Properties for all Isotropic Materials 

    Source: Journal of Applied Mechanics:;2014:;volume( 081 ):;issue: 011:;page 111001
    Author(s): Christensen, Richard M.
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: Continuing from Part I (Christensen, 2014, “Failure Mechanics—Part I: The Coordination Between Elasticity Theory and Failure Theory for all Isotropic Materials,â€‌ ASME J. Appl. Mech., 81(8), p. 081001), the relationship ...
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    2013 Timoshenko Medal Award Paper—Completion and Closure on Failure Criteria for Unidirectional Fiber Composite Materials 

    Source: Journal of Applied Mechanics:;2014:;volume( 081 ):;issue: 001:;page 11011
    Author(s): Christensen, Richard M.
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: Building upon previous work, the failure criterion for unidirectional fiber composite materials is examined using a sensitivity analysis as applied to its transverse, matrix controlled failure properties. A new and general ...
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    Evaluation of Ductile/Brittle Failure Theory and Derivation of the Ductile/Brittle Transition Temperature 

    Source: Journal of Applied Mechanics:;2016:;volume( 083 ):;issue: 002:;page 21001
    Author(s): Christensen, Richard M.
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: A recently developed ductile/brittle theory of materials failure is evaluated. The failure theory applies to all homogeneous and isotropic materials. The determination of the ductile/brittle transition is an integral and ...
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