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Richard M. Christensen
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Journal Articles

The Ductile/Brittle Transition for Materials Failure—Atomic Scale to Macroscopic Scale

Richard M. Christensen
Journal: Journal of Applied Mechanics
Publisher: ASME
Article Type: Research Papers
J. Appl. Mech. May 2024, 91(5): 051003.
Paper No: JAM-23-1417
https://doi.org/10.1115/1.4064210
Published Online: January 8, 2024
View Article titled, The Ductile/Brittle Transition for Materials Failure—Atomic Scale to Macroscopic Scale
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Topics: Brittleness, Crystals, Ductile-brittle transition, Failure, Tension, Mechanical properties
Journal Articles

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

Richard M. Christensen
Journal: Applied Mechanics Reviews
Publisher: ASME
Article Type: Review Articles
Appl. Mech. Rev. May 2023, 75(3): 030801.
Paper No: AMR-22-1076
https://doi.org/10.1115/1.4056203
Published Online: January 17, 2023
View Article titled, Review of the Basic Elastic Mechanical Properties and Their Realignment to Establish Ductile Versus Brittle Failure Behaviors
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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
Publisher: American Society of Mechanical Engineers
Paper No: IMECE1999-0902
https://doi.org/10.1115/IMECE1999-0902
View Paper titled, Stiffness and Strength Properties for Basic Sandwich Material Core Types
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Topics: Stiffness, Honeycomb structures, Sandwich structures
Journal Articles

Homogeneous and Isotropic Materials Failure Theory: A Critical Appraisal

Richard M. Christensen
Journal: Journal of Applied Mechanics
Publisher: ASME
Article Type: Guest Editorial
J. Appl. Mech. January 2022, 89(1): 010301.
Paper No: JAM-21-1407
https://doi.org/10.1115/1.4052798
Published Online: November 16, 2021
View Article titled, Homogeneous and Isotropic Materials Failure Theory: A Critical Appraisal
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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
Publisher: American Society of Mechanical Engineers
Paper No: IMECE2000-2029
https://doi.org/10.1115/IMECE2000-2029
View Paper titled, Failure Behavior of Closed Cell Foams
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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
Journal: Journal of Applied Mechanics
Publisher: ASME
Article Type: Research Papers
J. Appl. Mech. January 2022, 89(1): 011010.
Paper No: JAM-21-1375
https://doi.org/10.1115/1.4052507
Published Online: October 11, 2021
View Article titled, The Three Controlling Modes of Failure in Homogeneous and Isotropic Materials With Proof Thereof Through Critical Plane Stress Conditions
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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
Journal: Journal of Applied Mechanics
Publisher: ASME
Article Type: Research Papers
J. Appl. Mech. May 2020, 87(5): 051001.
Paper No: JAM-19-1593
https://doi.org/10.1115/1.4045546
Published Online: December 11, 2019
View Article titled, The Failure Theory for Isotropic Materials: Proof and Completion
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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
Journal: Journal of Applied Mechanics
Publisher: ASME
Article Type: Research-Article
J. Appl. Mech. September 2019, 86(9): 091011.
Paper No: JAM-19-1282
https://doi.org/10.1115/1.4044016
Published Online: June 27, 2019
View Article titled, Proof of the Splitting Mode of Compressive Brittle Failure and Integration With General Failure Theory
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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
Journal: Journal of Applied Mechanics
Publisher: ASME
Article Type: Research-Article
J. Appl. Mech. April 2019, 86(4): 041001.
Paper No: JAM-18-1699
https://doi.org/10.1115/1.4042291
Published Online: January 25, 2019
View Article titled, The Ductility Number Nd Provides a Rigorous Measure for the Ductility of Material Failure
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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
Journal: Journal of Applied Mechanics
Publisher: ASME
Article Type: Research-Article
J. Appl. Mech. October 2017, 84(10): 101004.
Paper No: JAM-17-1391
https://doi.org/10.1115/1.4037412
Published Online: August 21, 2017
View Article titled, A Unique and Rational Applications Methodology for Fiber Composite Laminates
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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
Journal: Journal of Applied Mechanics
Publisher: ASME
Article Type: Research-Article
J. Appl. Mech. July 2017, 84(7): 071007.
Paper No: JAM-17-1264
https://doi.org/10.1115/1.4036825
Published Online: June 6, 2017
View Article titled, Lamination Theory for the Strength of Fiber Composite Materials
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Topics: Composite materials, Failure, Fibers, Laminates, Lamination
Journal Articles

Materials Failure Theory and Applications, Change Is Coming

Richard M. Christensen
Journal: Journal of Engineering Materials and Technology
Publisher: ASME
Article Type: Research-Article
J. Eng. Mater. Technol. October 2017, 139(4): 041005.
Paper No: MATS-16-1366
https://doi.org/10.1115/1.4036587
Published Online: May 16, 2017
View Article titled, Materials Failure Theory and Applications, Change Is Coming
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Topics: Failure
Journal Articles

Failure Theory/Failure Criteria for Fiber Composite Laminates

Richard M. Christensen, Kuldeep Lonkar
Journal: Journal of Applied Mechanics
Publisher: ASME
Article Type: Research-Article
J. Appl. Mech. February 2017, 84(2): 021009.
Paper No: JAM-16-1522
https://doi.org/10.1115/1.4035119
Published Online: November 21, 2016
View Article titled, Failure Theory/Failure Criteria for Fiber Composite Laminates
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Topics: Failure, Fibers, Laminates, Composite materials
Journal Articles

Perspective on Materials Failure Theory and Applications

Richard M. Christensen
Journal: Journal of Applied Mechanics
Publisher: ASME
Article Type: Research-Article
J. Appl. Mech. November 2016, 83(11): 111001.
Paper No: JAM-16-1334
https://doi.org/10.1115/1.4034122
Published Online: August 10, 2016
View Article titled, Perspective on Materials Failure Theory and Applications
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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
Journal: Journal of Applied Mechanics
Publisher: ASME
Article Type: Research-Article
J. Appl. Mech. June 2016, 83(6): 061001.
Paper No: JAM-16-1157
https://doi.org/10.1115/1.4033279
Published Online: May 4, 2016
View Article titled, The Theoretical Measure of the Ductility of Failure for All Isotropic Materials in All States of Stress
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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
Journal: Journal of Applied Mechanics
Publisher: ASME
Article Type: Research-Article
J. Appl. Mech. February 2016, 83(2): 021001.
Paper No: JAM-15-1595
https://doi.org/10.1115/1.4032014
Published Online: December 8, 2015
View Article titled, Evaluation of Ductile/Brittle Failure Theory and Derivation of the Ductile/Brittle Transition Temperature
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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
Journal: Journal of Applied Mechanics
Publisher: ASME
Article Type: Research-Article
J. Appl. Mech. April 2015, 82(4): 041001.
Paper No: JAM-15-1077
https://doi.org/10.1115/1.4029829
Published Online: April 1, 2015
View Article titled, Failure Mechanics—Part III: A Call to Service With Solid Mechanics
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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
Journal: Journal of Applied Mechanics
Publisher: ASME
Article Type: Research-Article
J. Appl. Mech. November 2014, 81(11): 111001.
Paper No: JAM-14-1370
https://doi.org/10.1115/1.4028407
Published Online: September 17, 2014
View Article titled, Failure Mechanics—Part II: The Central and Decisive Role of Graphene in Defining the Elastic and Failure Properties for all Isotropic Materials
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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
Journal: Journal of Applied Mechanics
Publisher: ASME
Article Type: Research-Article
J. Appl. Mech. August 2014, 81(8): 081001.
Paper No: JAM-14-1218
https://doi.org/10.1115/1.4027753
Published Online: June 5, 2014
View Article titled, Failure Mechanics—Part I: The Coordination Between Elasticity Theory and Failure Theory for all Isotropic Materials
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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
Journal: Journal of Applied Mechanics
Publisher: ASME
Article Type: Research-Article
J. Appl. Mech. January 2014, 81(1): 011011.
Paper No: JAM-13-1296
https://doi.org/10.1115/1.4025177
Published Online: September 16, 2013
View Article titled, 2013 Timoshenko Medal Award Paper—Completion and Closure on Failure Criteria for Unidirectional Fiber Composite Materials
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Topics: Composite materials, Failure, Fibers