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Journal Articles

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

Richard M. Christensen

Appl. Mech. Rev. May 2023, 75(3): 031001.

Paper No: AMR-22-1076

DOI: https://doi.org/10.1115/1.4056203

Published Online: January 17, 2023

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Topics: Brittleness, Failure, Tension, Ductile-brittle transition

Proceedings Papers

Stiffness and Strength Properties for Basic Sandwich Material Core Types

Beomkeun Kim, Richard M. Christensen

Proc. ASME. IMECE99, Thick Composites for Load Bearing Structures, 47-50, November 14–19, 1999

Paper No: IMECE1999-0902

DOI: https://doi.org/10.1115/IMECE1999-0902

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Topics: Stiffness, Honeycomb structures, Sandwich structures

Journal Articles

Homogeneous and Isotropic Materials Failure Theory: A Critical Appraisal

Richard M. Christensen

J. Appl. Mech. January 2022, 89(1): 010301.

Paper No: JAM-21-1407

DOI: https://doi.org/10.1115/1.4052798

Published Online: November 16, 2021

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Topics: Failure

Proceedings Papers

Failure Behavior of Closed Cell Foams

Richard M. Christensen, Steven J. DeTeresa

Proc. ASME. IMECE2000, Mechanics of Sandwich Structures, 117-122, November 5–10, 2000

Paper No: IMECE2000-2029

DOI: https://doi.org/10.1115/IMECE2000-2029

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Topics: Failure, Foams (Chemistry), Compressive stress, Foamed materials, Shear (Mechanics), Stress, Tension

Journal Articles

The Three Controlling Modes of Failure in Homogeneous and Isotropic Materials With Proof Thereof Through Critical Plane Stress Conditions

Richard M. Christensen

J. Appl. Mech. January 2022, 89(1): 011010.

Paper No: JAM-21-1375

DOI: https://doi.org/10.1115/1.4052507

Published Online: October 11, 2021

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Topics: Failure, Stress, Fracture (Materials), Fracture (Process)

Journal Articles

The Failure Theory for Isotropic Materials: Proof and Completion

Richard M. Christensen

J. Appl. Mech. May 2020, 87(5): 051001.

Paper No: JAM-19-1593

DOI: https://doi.org/10.1115/1.4045546

Published Online: December 11, 2019

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Topics: Failure, Brittleness

Journal Articles

Proof of the Splitting Mode of Compressive Brittle Failure and Integration With General Failure Theory

Richard M. Christensen

J. Appl. Mech. September 2019, 86(9): 091011.

Paper No: JAM-19-1282

DOI: https://doi.org/10.1115/1.4044016

Published Online: June 27, 2019

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Topics: Brittleness, Failure

Journal Articles

The Ductility Number Nd Provides a Rigorous Measure for the Ductility of Material Failure

Richard M. Christensen

J. Appl. Mech. April 2019, 86(4): 041001.

Paper No: JAM-18-1699

DOI: https://doi.org/10.1115/1.4042291

Published Online: January 25, 2019

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Topics: Brittleness, Ductility, Failure, Stress, Tension

Journal Articles

A Unique and Rational Applications Methodology for Fiber Composite Laminates

Richard M. Christensen

J. Appl. Mech. October 2017, 84(10): 101004.

Paper No: JAM-17-1391

DOI: https://doi.org/10.1115/1.4037412

Published Online: August 21, 2017

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Topics: Composite materials, Fibers, Laminates, Lamination, Stiffness, Failure, Design

Journal Articles

Lamination Theory for the Strength of Fiber Composite Materials

Richard M. Christensen

J. Appl. Mech. July 2017, 84(7): 071007.

Paper No: JAM-17-1264

DOI: https://doi.org/10.1115/1.4036825

Published Online: June 6, 2017

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Topics: Composite materials, Failure, Fibers, Laminates, Lamination

Journal Articles

Materials Failure Theory and Applications, Change Is Coming

Richard M. Christensen

J. Eng. Mater. Technol. October 2017, 139(4): 041005.

Paper No: MATS-16-1366

DOI: https://doi.org/10.1115/1.4036587

Published Online: May 16, 2017

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Topics: Failure

Journal Articles

Failure Theory/Failure Criteria for Fiber Composite Laminates

Richard M. Christensen, Kuldeep Lonkar

J. Appl. Mech. February 2017, 84(2): 021009.

Paper No: JAM-16-1522

DOI: https://doi.org/10.1115/1.4035119

Published Online: November 21, 2016

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Topics: Failure, Fibers, Laminates, Composite materials

Journal Articles

Perspective on Materials Failure Theory and Applications

Richard M. Christensen

J. Appl. Mech. November 2016, 83(11): 111001.

Paper No: JAM-16-1334

DOI: https://doi.org/10.1115/1.4034122

Published Online: August 10, 2016

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Topics: Failure, Stress

Journal Articles

The Theoretical Measure of the Ductility of Failure for All Isotropic Materials in All States of Stress

Richard M. Christensen

J. Appl. Mech. June 2016, 83(6): 061001.

Paper No: JAM-16-1157

DOI: https://doi.org/10.1115/1.4033279

Published Online: May 4, 2016

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Topics: Ductility, Failure, Stress, Tension

Journal Articles

Evaluation of Ductile/Brittle Failure Theory and Derivation of the Ductile/Brittle Transition Temperature

Richard M. Christensen

J. Appl. Mech. February 2016, 83(2): 021001.

Paper No: JAM-15-1595

DOI: https://doi.org/10.1115/1.4032014

Published Online: December 8, 2015

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Topics: Brittleness, Ductile-brittle transition, Failure, Stress, Temperature, Tension

Journal Articles

Failure Mechanics—Part III: A Call to Service With Solid Mechanics

Richard M. Christensen

J. Appl. Mech. April 2015, 82(4): 041001.

Paper No: JAM-15-1077

DOI: https://doi.org/10.1115/1.4029829

Published Online: April 1, 2015

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Topics: Failure, Solid mechanics

Journal Articles

Failure Mechanics—Part II: The Central and Decisive Role of Graphene in Defining the Elastic and Failure Properties for all Isotropic Materials

Richard M. Christensen

J. Appl. Mech. November 2014, 81(11): 111001.

Paper No: JAM-14-1370

DOI: https://doi.org/10.1115/1.4028407

Published Online: September 17, 2014

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Topics: Elasticity, Failure, Graphene, Nanoscale phenomena, Poisson ratio, Stress

Journal Articles

Failure Mechanics—Part I: The Coordination Between Elasticity Theory and Failure Theory for all Isotropic Materials

Richard M. Christensen

J. Appl. Mech. August 2014, 81(8): 081001.

Paper No: JAM-14-1218

DOI: https://doi.org/10.1115/1.4027753

Published Online: June 5, 2014

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Topics: Elasticity, Failure

Journal Articles

2013 Timoshenko Medal Award Paper—Completion and Closure on Failure Criteria for Unidirectional Fiber Composite Materials

Richard M. Christensen

J. Appl. Mech. January 2014, 81(1): 011011.

Paper No: JAM-13-1296

DOI: https://doi.org/10.1115/1.4025177

Published Online: September 16, 2013

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Topics: Composite materials, Failure, Fibers

Journal Articles

A Comprehensive Theory of Yielding and Failure for Isotropic Materials

Richard M. Christensen

J. Eng. Mater. Technol. April 2007, 129(2): 173–181.

DOI: https://doi.org/10.1115/1.2712847

Published Online: April 1, 2007

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Topics: Brittleness, Failure, Stress, Deformation

Journal citation

NARROW

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

Stiffness and Strength Properties for Basic Sandwich Material Core Types

Homogeneous and Isotropic Materials Failure Theory: A Critical Appraisal

Failure Behavior of Closed Cell Foams

The Three Controlling Modes of Failure in Homogeneous and Isotropic Materials With Proof Thereof Through Critical Plane Stress Conditions

The Failure Theory for Isotropic Materials: Proof and Completion

Proof of the Splitting Mode of Compressive Brittle Failure and Integration With General Failure Theory

The Ductility Number Nd Provides a Rigorous Measure for the Ductility of Material Failure

A Unique and Rational Applications Methodology for Fiber Composite Laminates

Lamination Theory for the Strength of Fiber Composite Materials

Materials Failure Theory and Applications, Change Is Coming

Failure Theory/Failure Criteria for Fiber Composite Laminates

Perspective on Materials Failure Theory and Applications

The Theoretical Measure of the Ductility of Failure for All Isotropic Materials in All States of Stress

Evaluation of Ductile/Brittle Failure Theory and Derivation of the Ductile/Brittle Transition Temperature

Failure Mechanics—Part III: A Call to Service With Solid Mechanics

Failure Mechanics—Part II: The Central and Decisive Role of Graphene in Defining the Elastic and Failure Properties for all Isotropic Materials

Failure Mechanics—Part I: The Coordination Between Elasticity Theory and Failure Theory for all Isotropic Materials

2013 Timoshenko Medal Award Paper—Completion and Closure on Failure Criteria for Unidirectional Fiber Composite Materials

A Comprehensive Theory of Yielding and Failure for Isotropic Materials

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