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Journal Articles

On Application of a Quasi-Static Variational Principle to a System With Damping

Morris Morduchow

J. Appl. Mech. March 1954, 21(1): 8–10.

DOI: https://doi.org/10.1115/1.4010811

Published Online: June 4, 2021

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Topics: Damping, Variational principles, Differential equations, Mode shapes, Vibration

Journal Articles

Closure to “Discussions of ‘On Application of a Quasi-Static Variational Principle to a System With Damping’” (1954, ASME J. Appl. Mech., 21, pp. 303–304)

Morris Morduchow

J. Appl. Mech. September 1954, 21(3): 304.

DOI: https://doi.org/10.1115/1.4010918

Published Online: June 4, 2021

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Topics: Variational principles

Journal Articles

Discussion: “On Application of a Quasi-Static Variational Principle to a System With Damping” (Morduchow, Morris, 1954, ASME J. Appl. Mech., 21, pp. 8–10)

D. E. Whitford

J. Appl. Mech. September 1954, 21(3): 304.

DOI: https://doi.org/10.1115/1.4010917

Published Online: June 4, 2021

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Topics: Damping, Variational principles

Journal Articles

Discussion: “On Application of a Quasi-Static Variational Principle to a System With Damping” (Morduchow, Morris, 1954, ASME J. Appl. Mech., 21, pp. 8–10)

J. P. Russell

J. Appl. Mech. September 1954, 21(3): 303–304.

DOI: https://doi.org/10.1115/1.4010916

Published Online: June 4, 2021

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Topics: Damping, Variational principles

Journal Articles

The Safety Factor of an Elastic-Plastic Body in Plane Strain

D. C. Drucker, H. J. Greenberg, W. Prager

J. Appl. Mech. December 1951, 18(4): 371–378.

DOI: https://doi.org/10.1115/1.4010353

Published Online: April 7, 2021

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Topics: Plane strain, Safety, Variational principles

Journal Articles

A Variational Principle for the Mesh-Type Analysis of a Mechanical System

R. A. Toupin

J. Appl. Mech. June 1952, 19(2): 151–152.

DOI: https://doi.org/10.1115/1.4010439

Published Online: April 7, 2021

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Topics: Variational principles, Dynamic systems, Equations of motion

Journal Articles

Discussion: “A Variational Principle for the Mesh-Type Analysis of a Mechanical System” (Toupin, R. A., 1952, ASME J. Appl. Mech., 19, pp. 151–152)

C. Truesdell

J. Appl. Mech. December 1952, 19(4): 574.

DOI: https://doi.org/10.1115/1.4010580

Published Online: April 7, 2021

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Topics: Variational principles

Journal Articles

A Comparative Study of Some Variational Principles in the Theory of Plasticity

Rodney Hill

J. Appl. Mech. March 1950, 17(1): 64–66.

DOI: https://doi.org/10.1115/1.4010058

Published Online: April 5, 2021

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Topics: Plasticity, Variational principles, Boundary-value problems, Work hardening

Journal Articles

The Stress-Strain Laws of the Mathematical Theory of Plasticity—a Survey of Recent Progress

William Prager

J. Appl. Mech. September 1948, 15(3): 226–233.

DOI: https://doi.org/10.1115/1.4009839

Published Online: March 12, 2021

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Topics: Plasticity, Stress, Deformation, Flow (Dynamics), Variational principles

Journal Articles

Mixed Finite Elements for Flexoelectric Solids

Feng Deng, Qian Deng, Wenshan Yu, Shengping Shen

J. Appl. Mech. August 2017, 84(8): 081004.

Paper No: JAM-17-1207

DOI: https://doi.org/10.1115/1.4036939

Published Online: June 14, 2017

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Topics: Boundary-value problems, Displacement, Elasticity, Electric fields, Electric potential, Finite element analysis, Finite element methods, Strain gradient, Solids, Piezoelectricity

Journal Articles

On Boundary Condition Implementation Via Variational Principles in Elasticity-Based Homogenization

Guannan Wang, Marek-Jerzy Pindera

J. Appl. Mech. October 2016, 83(10): 101008.

Paper No: JAM-16-1292

DOI: https://doi.org/10.1115/1.4034227

Published Online: August 10, 2016

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Topics: Boundary-value problems, Composite materials, Displacement, Fibers, Stress, Variational principles, Epoxy adhesives, Epoxy resins, Elasticity

Journal Articles

A Variationally Consistent Approach to Constrained Motion

John T. Foster

J. Appl. Mech. May 2016, 83(5): 054501.

Paper No: JAM-15-1422

DOI: https://doi.org/10.1115/1.4032856

Published Online: March 15, 2016

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Topics: D'Alembert's principle, Equations of motion, Variational principles, Dynamics (Mechanics), Particulate matter, Engineers

Journal Articles

A Fully Coupled Theory and Variational Principle for Thermal–Electrical–Chemical–Mechanical Processes

Pengfei Yu, Shengping Shen

J. Appl. Mech. November 2014, 81(11): 111005.

Paper No: JAM-14-1323

DOI: https://doi.org/10.1115/1.4028529

Published Online: September 24, 2014

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Topics: Boundary-value problems, Chemical reactions, Diffusion (Physics), Electric fields, Electric potential, Gibbs' free energy, Heat conduction, Oxygen, Stress, Variational principles

Journal Articles

Bernoulli–Euler Dielectric Beam Model Based on Strain-Gradient Effect

Xu Liang, Shuling Hu, Shengping Shen

J. Appl. Mech. July 2013, 80(4): 044502.

Paper No: JAM-12-1188

DOI: https://doi.org/10.1115/1.4023022

Published Online: May 23, 2013

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Topics: Deflection, Strain gradient, Euler-Bernoulli beam theory, Cantilever beams, Variational principles

Journal Articles

Multiterm Extended Kantorovich Method for Three-Dimensional Elasticity Solution of Laminated Plates

Santosh Kapuria, Poonam Kumari

J. Appl. Mech. November 2012, 79(6): 061018.

DOI: https://doi.org/10.1115/1.4006495

Published Online: September 21, 2012

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Topics: Boundary-value problems, Composite materials, Elasticity, Plates (structures), Stress, Variational principles, Laminates

Journal Articles

The Influence of Dimensionality on the Rate of Diffusive Escape From an Energy Well

L. B. Freund

J. Appl. Mech. May 2012, 79(3): 031012.

DOI: https://doi.org/10.1115/1.4005895

Published Online: April 5, 2012

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Topics: Degrees of freedom, Density, Dimensions, Variational principles, Excitation, Approximation, Partial differential equations, Separation (Technology)

Journal Articles

Extended Kantorovich Method for Three-Dimensional Elasticity Solution of Laminated Composite Structures in Cylindrical Bending

Santosh Kapuria, Poonam Kumari

J. Appl. Mech. November 2011, 78(6): 061004.

DOI: https://doi.org/10.1115/1.4003779

Published Online: August 22, 2011

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Topics: Boundary-value problems, Composite materials, Elasticity, Stress, Laminates, Variational principles, Finite element analysis

Journal Articles

Some Further Remarks on Hamilton’s Principle

Firdaus E. Udwadia, George Leitmann, Hancheol Cho

J. Appl. Mech. January 2011, 78(1): 011014.

DOI: https://doi.org/10.1115/1.4002435

Published Online: October 22, 2010

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Topics: Equations of motion, Hamilton's principle, Inverse problems, Variational techniques, Variational principles

Journal Articles

A Locally Exact Homogenization Theory for Periodic Microstructures With Isotropic Phases

Anthony S. Drago, Marek-Jerzy Pindera

J. Appl. Mech. September 2008, 75(5): 051010.

DOI: https://doi.org/10.1115/1.2913043

Published Online: July 17, 2008

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Topics: Boundary-value problems, Displacement, Fibers, Finite element analysis, Stress, Variational principles, Elasticity, Micromechanics (Engineering)

Journal Articles

A Variational Principle Governing the Generating Function for Conformations of Flexible Molecules

L. B. Freund

J. Appl. Mech. May 2007, 74(3): 421–426.

DOI: https://doi.org/10.1115/1.2201888

Published Online: March 31, 2006

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Topics: Differential equations, Entropy, Partial differential equations, Polymers, Separation (Technology), Variational principles, Chain, Density, Field theories (Physics), Variational techniques

2 3 4 5

Journal citation

NARROW

On Application of a Quasi-Static Variational Principle to a System With Damping

Closure to “Discussions of ‘On Application of a Quasi-Static Variational Principle to a System With Damping’” (1954, ASME J. Appl. Mech., 21, pp. 303–304)

Discussion: “On Application of a Quasi-Static Variational Principle to a System With Damping” (Morduchow, Morris, 1954, ASME J. Appl. Mech., 21, pp. 8–10)

Discussion: “On Application of a Quasi-Static Variational Principle to a System With Damping” (Morduchow, Morris, 1954, ASME J. Appl. Mech., 21, pp. 8–10)

The Safety Factor of an Elastic-Plastic Body in Plane Strain

A Variational Principle for the Mesh-Type Analysis of a Mechanical System

Discussion: “A Variational Principle for the Mesh-Type Analysis of a Mechanical System” (Toupin, R. A., 1952, ASME J. Appl. Mech., 19, pp. 151–152)

A Comparative Study of Some Variational Principles in the Theory of Plasticity

The Stress-Strain Laws of the Mathematical Theory of Plasticity—a Survey of Recent Progress

Mixed Finite Elements for Flexoelectric Solids

On Boundary Condition Implementation Via Variational Principles in Elasticity-Based Homogenization

A Variationally Consistent Approach to Constrained Motion

A Fully Coupled Theory and Variational Principle for Thermal–Electrical–Chemical–Mechanical Processes

Bernoulli–Euler Dielectric Beam Model Based on Strain-Gradient Effect

Multiterm Extended Kantorovich Method for Three-Dimensional Elasticity Solution of Laminated Plates

The Influence of Dimensionality on the Rate of Diffusive Escape From an Energy Well

Extended Kantorovich Method for Three-Dimensional Elasticity Solution of Laminated Composite Structures in Cylindrical Bending

Some Further Remarks on Hamilton’s Principle

A Locally Exact Homogenization Theory for Periodic Microstructures With Isotropic Phases

A Variational Principle Governing the Generating Function for Conformations of Flexible Molecules

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