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Journal Articles

The 2011 Koiter Lecture: The Simple Logic of Classical Nonlinear Thermodynamic Shell Theory

J. G. Simmonds

J. Appl. Mech. July 2012, 79(4): 041005.

DOI: https://doi.org/10.1115/1.4005536

Published Online: May 16, 2012

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Topics: Constitutive equations, Dimensions, Equations of motion, Shells, Density

Journal Articles

The Free and Forced Vibrations of a Closed Elastic Spherical Shell Fixed to an Equatorial Beam—Part I: The Governing Equations and Special Solutions

J. G. Simmonds, A. P. Hosseinbor

J. Appl. Mech. March 2010, 77(2): 021017.

DOI: https://doi.org/10.1115/1.3197466

Published Online: December 14, 2009

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Topics: Equations of motion, Shells, Spherical shells, Vibration, Free vibrations, Polynomials, Scalars

Journal Articles

The Free and Forced Vibrations of a Closed Elastic Spherical Shell Fixed to an Equatorial Beam—Part II: Perturbation Approximations

J. G. Simmonds, A. P. Hosseinbor

J. Appl. Mech. March 2010, 77(2): 021018.

DOI: https://doi.org/10.1115/1.3197211

Published Online: December 14, 2009

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Topics: Shells, Spherical shells, Vibration, Poisson ratio, Young's modulus, Approximation

Journal Articles

Discussion: “New First-Order Shear Deformation Plate Theories” ( Shimpi, R. P., Patel, H. G., and Arya, H., 2007, ASME J. Appl. Mech., 74, pp. 523–533 )

J. G. Simmonds

J. Appl. Mech. July 2008, 75(4): 045503.

DOI: https://doi.org/10.1115/1.2916894

Published Online: May 20, 2008

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Topics: Plate theory, Shear deformation, Plates (structures)

Journal Articles

An Alternative to F. Y. M. Wan’s Single Equation for an Elastic Right Circular Conical Shell

J. G. Simmonds

J. Appl. Mech. July 2008, 75(4): 041022.

DOI: https://doi.org/10.1115/1.2875798

Published Online: May 19, 2008

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Topics: Shells, Stress-strain relations, Partial differential equations

Journal Articles

An Upper Bound on the Error in Linear Quasi-Shallow Shell Theory

J. G. Simmonds

J. Appl. Mech. January 2008, 75(1): 014503.

DOI: https://doi.org/10.1115/1.2745827

Published Online: January 14, 2008

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Topics: Errors, Shells

Journal Articles

Discussion: “Applicability and Limitations of Simplified Elastic Shell Equations for Carbon Nanotubes” ( Wang, C. Y., Ru, C. Q., and Mioduchowski, A., 2004, ASME J. Appl. Mech., 71, pp. 622–631 )

J. G. Simmonds

J. Appl. Mech. November 2005, 72(6): 981.

DOI: https://doi.org/10.1115/1.2040451

Published Online: November 1, 2005

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Topics: Buckling, Carbon nanotubes, Shells, Poisson ratio, Elasticity, Torsion, Variational techniques

Journal Articles

The Mechanical Response of Freestanding Circular Elastic Films Under Point and Pressure Loads

U. Komaragiri, M. R. Begley, J. G. Simmonds

J. Appl. Mech. March 2005, 72(2): 203–212.

DOI: https://doi.org/10.1115/1.1827246

Published Online: March 15, 2005

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Topics: Membranes, Stress, Pressure, Poles (Building), Boundary layers, Deflection, Rotation

Journal Articles

Green’s Function for a Closed, Infinite, Circular Cylindrical Elastic Shell

J. G. Simmonds

J. Appl. Mech. March 2006, 73(2): 183–188.

DOI: https://doi.org/10.1115/1.2065627

Published Online: January 28, 2005

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Topics: Errors, Partial differential equations, Shells, Stress, Circular cylindrical shells

Journal Articles

Anisotropic Elastic Tubes of Arbitrary Cross Section Under Arbitrary End Loads: Separation of Beamlike and Decaying Solutions

P. Ladevèze, J. G. Simmonds

J. Appl. Mech. July 2005, 72(4): 500–510.

DOI: https://doi.org/10.1115/1.1934532

Published Online: July 29, 2004

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Topics: Anisotropy, Kinematics, Stress, Boundary-value problems, Displacement, Eigenfunctions, Differential equations, Separation (Technology)

Journal Articles

Crushing of an Elastic-Plastic Ring Between Rigid Plates With and Without Unloading

T. J. McDevitt, Mem. ASME, J. G. Simmonds, Fellow ASME

J. Appl. Mech. November 2003, 70(6): 799–808.

DOI: https://doi.org/10.1115/1.1630814

Published Online: January 5, 2004

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Topics: Deflection, Stress, Equilibrium (Physics), Differential equations

Journal Articles

The Exact One-Dimensional Theory for End-Loaded Fully Anisotropic Beams of Narrow Rectangular Cross Section

P. Ladeve`ze, J. G. Simmonds, Fellow ASME

J. Appl. Mech. November 2001, 68(6): 865–868.

DOI: https://doi.org/10.1115/1.1412238

Published Online: June 2, 2001

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Topics: Anisotropy, Boundary-value problems, Displacement, Stress

Journal Articles

Rotary Inertia in the Classical Nonlinear Theory of Shells and the Constitutive (Non-Kinematic) Kirchhoff Hypothesis

J. G. Simmonds, Fellow ASME

J. Appl. Mech. March 2001, 68(2): 320–323.

DOI: https://doi.org/10.1115/1.1357870

Published Online: October 19, 2000

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Topics: Density, Kinematics, Rotational inertia, Shells, Rotation, Tensors

Journal Articles

Love’s Stress Function for Torsionless Axisymmetric Deformation of Elastically Isotropic Bodies With Body Forces

J. G. Simmonds, Fellow ASME,

J. Appl. Mech. September 2000, 67(3): 628–629.

DOI: https://doi.org/10.1115/1.1309543

Published Online: May 5, 2000

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Topics: Deformation, Stress, Displacement, Poisson ratio, Young's modulus

Journal Articles

Reduction of the Sanders-Koiter Equations for Fully Anisotropic Circular Cylindrical Shells to Two Coupled Equations for a Stress and a Curvature Function

T. J. McDevitt, J. G. Simmonds

J. Appl. Mech. September 1999, 66(3): 593–597.

DOI: https://doi.org/10.1115/1.2791465

Published Online: September 1, 1999

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Topics: Anisotropy, Circular cylindrical shells, Stress, Stress-strain relations, Shells, Displacement, Elastic constants, Errors, Partial differential equations, Tensors

Journal Articles

Constructing Exact Dynamic Elasticity Solutions for Axisymmetrically Deformed Plates From Classical Plate Theory Solutions

Z. Qian, J. G. Simmonds

J. Appl. Mech. March 1998, 65(1): 1–6.

DOI: https://doi.org/10.1115/1.2789026

Published Online: March 1, 1998

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Topics: Elasticity, Plate theory, Plates (structures), Errors, Deformation, Elastic plates, Engineers, Wave equations

Journal Articles

The Axisymmetric Deformation of Linearly and Nonlinearly Elastic Spinning Tubes Under End Thrusts and Torques

T. J. McDevitt, J. G. Simmonds

J. Appl. Mech. March 1998, 65(1): 99–106.

DOI: https://doi.org/10.1115/1.2789053

Published Online: March 1, 1998

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Topics: Deformation, Spin (Aerodynamics), Spinning (Textile), Thrust, Anisotropy, Membranes, Rotation, Analytical methods, Approximation, Boundary layers

Journal Articles

Exact Time-Dependent Plane Stress Solutions for Elastic Beams: A Novel Approach

P. Ladeve`ze, J. G. Simmonds

J. Appl. Mech. December 1996, 63(4): 962–966.

DOI: https://doi.org/10.1115/1.2787253

Published Online: December 1, 1996

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Topics: Stress, Displacement, Euler-Bernoulli beam theory, Bending (Stress), Boundary layers, Equations of motion, Poisson ratio, Shear stress, Traction

Journal Articles

A Simplified Displacement-Rotation Form for the Equations of Motion of Nonlinearly Elastic Shells of Revolution Undergoing Combined Bending and Torsion

J. G. Simmonds

J. Appl. Mech. June 1996, 63(2): 539–542.

DOI: https://doi.org/10.1115/1.2788901

Published Online: June 1, 1996

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Topics: Displacement, Equations of motion, Rotation, Shells, Torsion

Journal Articles

The Eigenvalues for a Self-Equilibrated, Semi-Infinite, Anisotropic Elastic Strip

E. C. Crafter, R. M. Heise, C. O. Horgan, J. G. Simmonds

J. Appl. Mech. June 1993, 60(2): 276–281.

DOI: https://doi.org/10.1115/1.2900790

Published Online: June 1, 1993

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Topics: Anisotropy, Eigenvalues, Strips, Elastic constants, Stress, Eigenfunctions, Elasticity, Epoxy adhesives, Epoxy resins, Graphite

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Journal citation

NARROW

The 2011 Koiter Lecture: The Simple Logic of Classical Nonlinear Thermodynamic Shell Theory

The Free and Forced Vibrations of a Closed Elastic Spherical Shell Fixed to an Equatorial Beam—Part I: The Governing Equations and Special Solutions

The Free and Forced Vibrations of a Closed Elastic Spherical Shell Fixed to an Equatorial Beam—Part II: Perturbation Approximations

Discussion: “New First-Order Shear Deformation Plate Theories” ( Shimpi, R. P., Patel, H. G., and Arya, H., 2007, ASME J. Appl. Mech., 74, pp. 523–533 )

An Alternative to F. Y. M. Wan’s Single Equation for an Elastic Right Circular Conical Shell

An Upper Bound on the Error in Linear Quasi-Shallow Shell Theory

Discussion: “Applicability and Limitations of Simplified Elastic Shell Equations for Carbon Nanotubes” ( Wang, C. Y., Ru, C. Q., and Mioduchowski, A., 2004, ASME J. Appl. Mech., 71, pp. 622–631 )

The Mechanical Response of Freestanding Circular Elastic Films Under Point and Pressure Loads

Green’s Function for a Closed, Infinite, Circular Cylindrical Elastic Shell

Anisotropic Elastic Tubes of Arbitrary Cross Section Under Arbitrary End Loads: Separation of Beamlike and Decaying Solutions

Crushing of an Elastic-Plastic Ring Between Rigid Plates With and Without Unloading

The Exact One-Dimensional Theory for End-Loaded Fully Anisotropic Beams of Narrow Rectangular Cross Section

Rotary Inertia in the Classical Nonlinear Theory of Shells and the Constitutive (Non-Kinematic) Kirchhoff Hypothesis

Love’s Stress Function for Torsionless Axisymmetric Deformation of Elastically Isotropic Bodies With Body Forces

Reduction of the Sanders-Koiter Equations for Fully Anisotropic Circular Cylindrical Shells to Two Coupled Equations for a Stress and a Curvature Function

Constructing Exact Dynamic Elasticity Solutions for Axisymmetrically Deformed Plates From Classical Plate Theory Solutions

The Axisymmetric Deformation of Linearly and Nonlinearly Elastic Spinning Tubes Under End Thrusts and Torques

Exact Time-Dependent Plane Stress Solutions for Elastic Beams: A Novel Approach

A Simplified Displacement-Rotation Form for the Equations of Motion of Nonlinearly Elastic Shells of Revolution Undergoing Combined Bending and Torsion

The Eigenvalues for a Self-Equilibrated, Semi-Infinite, Anisotropic Elastic Strip

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