Volume 64 Issue 3 | J. Appl. Mech. | ASME Digital Collection

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Volume 64, Issue 3

September 1997

ISSN 0021-8936

EISSN 1528-9036

Technical Papers

The Surface Crack Problem for a Plate With Functionally Graded Properties

F. Erdogan, B. H. Wu

J. Appl. Mech. September 1997, 64(3): 449–456. doi: https://doi.org/10.1115/1.2788914

Abstract

View articletitled, The Surface Crack Problem for a Plate With Functionally Graded Properties

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Topics: Displacement , Elasticity , Fracture (Materials) , Membranes , Stress , Stress concentration , Surface cracks , Young's modulus

The Elastic Field Resulting From Elliptical Hertzian Contact of Transversely Isotropic Bodies: Closed-Form Solutions for Normal and Shear Loading

M. T. Hanson, I. W. Puja

J. Appl. Mech. September 1997, 64(3): 457–465. doi: https://doi.org/10.1115/1.2788915

Abstract

View articletitled, The Elastic Field Resulting From Elliptical Hertzian Contact of Transversely Isotropic Bodies: Closed-Form Solutions for Normal and Shear Loading

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Topics: Shear (Mechanics) , Traction , Friction , Coulombs , Isotropy , Pressure

Minimizing Stress Levels in Piezoelectric Media Containing Elliptical Voids

S. B. Park, G. P. Carman

J. Appl. Mech. September 1997, 64(3): 466–470. doi: https://doi.org/10.1115/1.2788916

Abstract

View articletitled, Minimizing Stress Levels in Piezoelectric Media Containing Elliptical Voids

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Topics: Stress , Deformation , Fracture (Materials) , Geometry , Materials properties , Mathematics

A Spherical Inclusion in an Elastic Half-Space Under Shear

I. Jasiuk, P. Y. Sheng, E. Tsuchida

J. Appl. Mech. September 1997, 64(3): 471–479. doi: https://doi.org/10.1115/1.2788917

Abstract

View articletitled, A Spherical Inclusion in an Elastic Half-Space Under Shear

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Topics: Elastic half space , Shear (Mechanics) , Traction , Displacement , Friction , Shear stress

A Tensegrity Structure With Buckling Compression Elements: Application to Cell Mechanics

M. F. Coughlin, D. Stamenovic´

J. Appl. Mech. September 1997, 64(3): 480–486. doi: https://doi.org/10.1115/1.2788918

Abstract

View articletitled, A Tensegrity Structure With Buckling Compression Elements: Application to Cell Mechanics

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Topics: Buckling , Cellular mechanics , Compression , Tensegrity structures , Cables , Stiffness , Tension , Biological cells , Equilibrium (Physics)

Dynamic Constitutive and Failure Behavior of a Two-Phase Tungsten Composite

M. Zhou, R. J. Clifton

J. Appl. Mech. September 1997, 64(3): 487–494. doi: https://doi.org/10.1115/1.2788919

Abstract

View articletitled, Dynamic Constitutive and Failure Behavior of a Two-Phase Tungsten Composite

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Topics: Composite materials , Failure , Tungsten , Shear (Mechanics) , Alloys , Deformation , Pressure , Fracture (Materials) , Fracture (Process) , High pressure (Physics)

Elastic Fields in a Polygon-Shaped Inclusion With Uniform Eigenstrains

H. Nozaki, M. Taya

J. Appl. Mech. September 1997, 64(3): 495–502. doi: https://doi.org/10.1115/1.2788920

Abstract

View articletitled, Elastic Fields in a Polygon-Shaped Inclusion With Uniform Eigenstrains

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Topics: Composite materials , Elasticity , Fibers , Plane strain , Stiffness

A Yield Criterion for Porous Ductile Media at High Strain Rate

Ze-Ping Wang, Qing Jiang

J. Appl. Mech. September 1997, 64(3): 503–509. doi: https://doi.org/10.1115/1.2788921

Abstract

View articletitled, A Yield Criterion for Porous Ductile Media at High Strain Rate

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Topics: Damage , Deformation , Shapes , Stress

Optimal Bounds on Plastic Deformations for Bodies Constituted of Temperature-Dependent Elastic Hardening Material

F. Giambanco, L. Palizzolo

J. Appl. Mech. September 1997, 64(3): 510–518. doi: https://doi.org/10.1115/1.2788922

Abstract

View articletitled, Optimal Bounds on Plastic Deformations for Bodies Constituted of Temperature-Dependent Elastic Hardening Material

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Topics: Deformation , Hardening , Temperature , Stress , Constitutive equations , Optimization , Theorems (Mathematics) , Transients (Dynamics)

Study of Texture Effect on Sheet Failure in a Limit Dome Height Test by Using Elastic/Crystalline Viscoplastic Finite Element Analysis

E. Nakamachi, X. Dong

J. Appl. Mech. September 1997, 64(3): 519–524. doi: https://doi.org/10.1115/1.2788923

Abstract

View articletitled, Study of Texture Effect on Sheet Failure in a Limit Dome Height Test by Using Elastic/Crystalline Viscoplastic Finite Element Analysis

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Topics: Domes (Structural elements) , Failure , Finite element analysis , Texture (Materials) , Aluminum alloys , Flow (Dynamics) , Hardening , Rotation

Stress Singularity of Edge Delamination in Angle-Ply and Cross-Ply Laminates

Wen-Hwa Chen, Tain-Fu Huang

J. Appl. Mech. September 1997, 64(3): 525–531. doi: https://doi.org/10.1115/1.2788924

Abstract

View articletitled, Stress Singularity of Edge Delamination in Angle-Ply and Cross-Ply Laminates

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Topics: Delamination , Laminates , Stress singularity , Fibers , Shear stress

A Theory for Reduced Order Control Design of Plate Systems

Q. Wang, K. M. Liew

J. Appl. Mech. September 1997, 64(3): 532–537. doi: https://doi.org/10.1115/1.2788925

Abstract

View articletitled, A Theory for Reduced Order Control Design of Plate Systems

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Topics: Design , Waves , Control theory , Degrees of freedom

A Layer-Wise Laminate Theory Rationally Deduced From the Three-Dimenstonal Elasticity

P. Bisegna, E. Sacco

J. Appl. Mech. September 1997, 64(3): 538–545. doi: https://doi.org/10.1115/1.2788926

Abstract

View articletitled, A Layer-Wise Laminate Theory Rationally Deduced From the Three-Dimenstonal Elasticity

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Topics: Elasticity , Laminates , Stress , Plates (structures) , Shear (Mechanics) , Space

Transient Analysis of a Subsonic Propagating Interface Crack Subjected to Antiplane Dynamic Loading in Dissimilar Isotropic Materials

Yi-Shyong Ing, Chien-Ching Ma

J. Appl. Mech. September 1997, 64(3): 546–556. doi: https://doi.org/10.1115/1.2788927

Abstract

View articletitled, Transient Analysis of a Subsonic Propagating Interface Crack Subjected to Antiplane Dynamic Loading in Dissimilar Isotropic Materials

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Topics: Dynamic testing (Materials) , Fracture (Materials) , Transient analysis , Stress , Laplace transforms , Transients (Dynamics) , Delays , Shear waves , Traction

In-Plane and Out-of-Plane Free Vibration Analysis of Archimedes-Type Spiral Springs

V. Yıldırım

J. Appl. Mech. September 1997, 64(3): 557–561. doi: https://doi.org/10.1115/1.2788928

Abstract

View articletitled, In-Plane and Out-of-Plane Free Vibration Analysis of Archimedes-Type Spiral Springs

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Topics: Free vibrations , Springs , Deformation , Rotational inertia , Shear (Mechanics) , Boundary-value problems , Computer software

Steady-State Motion of a Line Mechanical/Heat Source Over a Half-Space: A Thermoelastodynamic Solution

L. M. Brock, H. G. Georgiadis

J. Appl. Mech. September 1997, 64(3): 562–567. doi: https://doi.org/10.1115/1.2788929

Abstract

View articletitled, Steady-State Motion of a Line Mechanical/Heat Source Over a Half-Space: A Thermoelastodynamic Solution

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Topics: Heat , Steady state , Contact mechanics , Displacement , Laplace transforms , Temperature , Thermoelasticity , Tribology

Diffraction of SH-Wave by Interacting Matrix Crack and an Inhomogeneity

X. D. Wang, S. A. Meguid

J. Appl. Mech. September 1997, 64(3): 568–575. doi: https://doi.org/10.1115/1.2788930

Abstract

View articletitled, Diffraction of SH-Wave by Interacting Matrix Crack and an Inhomogeneity

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Topics: Diffraction , Fracture (Materials) , Waves , Boundary element methods , Dynamic testing (Materials) , Stress

A Least-Squares Approach to the Practical Use of the Hole Method in Photoelasticity

J. F. Cardenas-Garcia, Y. L. Tian, J. Hashemi, A. J. Durelli

J. Appl. Mech. September 1997, 64(3): 576–581. doi: https://doi.org/10.1115/1.2788931

Abstract

View articletitled, A Least-Squares Approach to the Practical Use of the Hole Method in Photoelasticity

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Topics: Double refraction , Stress , Stress tensors

Determination of Noncontributing Forces and Noncontributing Impulses in Three-Phase Motions

S. Djerassi

J. Appl. Mech. September 1997, 64(3): 582–589. doi: https://doi.org/10.1115/1.2788932

Abstract

View articletitled, Determination of Noncontributing Forces and Noncontributing Impulses in Three-Phase Motions

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Topics: Impulse (Physics) , Dynamic systems

Modeling the Dynamic Response and Establishing Post-buckling/ Post Snap-thru Equilibrium of Discrete Structures via a Transient Analysis

M. W. Hilburger, A. M. Waas, J. H. Starnes, Jr.

J. Appl. Mech. September 1997, 64(3): 590–595. doi: https://doi.org/10.1115/1.2788933

Abstract

View articletitled, Modeling the Dynamic Response and Establishing Post-buckling/ Post Snap-thru Equilibrium of Discrete Structures via a Transient Analysis

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Topics: Buckling , Dynamic response , Equilibrium (Physics) , Modeling , Transient analysis , Stress , Dynamics (Mechanics) , Arches , Compression , Critical points (Physics)

Critical Velocities of a Harmonic Load Moving Uniformly Along an Elastic Layer

H. A. Dieterman, A. Metrikine

J. Appl. Mech. September 1997, 64(3): 596–600. doi: https://doi.org/10.1115/1.2788934

Abstract

View articletitled, Critical Velocities of a Harmonic Load Moving Uniformly Along an Elastic Layer

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Topics: Stress , Trains , Resonance , Excitation , Waves , Wheels

A Symmetric Inverse Vibration Problem for Nonproportional Underdamped Systems

L. Starek, D. J. Inman

J. Appl. Mech. September 1997, 64(3): 601–605. doi: https://doi.org/10.1115/1.2788935

Abstract

View articletitled, A Symmetric Inverse Vibration Problem for Nonproportional Underdamped Systems

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Topics: Vibration , Eigenvalues , Damping , Algorithms , Construction , Differential equations , Inverse problems , Stiffness

On the Existence of Mayer’s Potential

V. M. Cˇovic´, M. M. Lukacˇevic´

J. Appl. Mech. September 1997, 64(3): 606–612. doi: https://doi.org/10.1115/1.2788936

Abstract

View articletitled, On the Existence of Mayer’s Potential

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Topics: Dynamic systems , Hamilton's principle

Asymptotic Distribution of Eigenvalues of a Constrained Translating String

W. D. Zhu, C. D. Mote, Jr., B. Z. Guo

J. Appl. Mech. September 1997, 64(3): 613–619. doi: https://doi.org/10.1115/1.2788937

Abstract

View articletitled, Asymptotic Distribution of Eigenvalues of a Constrained Translating String

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Topics: Eigenvalues , String , Damping , Emission spectroscopy , Numerical analysis , Shock absorbers , Spectroscopy , Springs , Vibration

Transient Analysis of a Propagating In-Plane Crack in a Finite Geometry Body Subjected to Static Loadings

Chwan-Huei Tsai, Chien-Ching Ma

J. Appl. Mech. September 1997, 64(3): 620–628. doi: https://doi.org/10.1115/1.2788938

Abstract

View articletitled, Transient Analysis of a Propagating In-Plane Crack in a Finite Geometry Body Subjected to Static Loadings

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Topics: Fracture (Materials) , Geometry , Transient analysis , Stress , Waves , Laplace transforms , Traction , Strips

An Eigenvector Expansion Method for the Solution of Motion Containing Fractional Derivatives

L. E. Suarez, A. Shokooh

J. Appl. Mech. September 1997, 64(3): 629–635. doi: https://doi.org/10.1115/1.2788939

Abstract

View articletitled, An Eigenvector Expansion Method for the Solution of Motion Containing Fractional Derivatives

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Topics: Eigenvalues , Damping , Equations of motion , Impulse (Physics) , Laplace transforms

Nonseparable Solutions to the Hamilton-Jacobi Equation

C. M. Leech, B. Tabarrok

J. Appl. Mech. September 1997, 64(3): 636–641. doi: https://doi.org/10.1115/1.2788940

Abstract

View articletitled, Nonseparable Solutions to the Hamilton-Jacobi Equation

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Topics: Dynamics (Mechanics) , Hamilton-Jacobi equations , Harmonic oscillators , Partial differential equations , Potential energy , Transfer functions

Nonlinear System Response for Impulsive Parametric Input

S. Caddemi, M. Di Paola

J. Appl. Mech. September 1997, 64(3): 642–648. doi: https://doi.org/10.1115/1.2788941

Abstract

View articletitled, Nonlinear System Response for Impulsive Parametric Input

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Topics: Dynamic systems , Engineering systems and industry applications , Impulse (Physics) , Nonlinear systems

Response and Stability of Square Tubes Under Bending

S. P. Vaze, E. Corona

J. Appl. Mech. September 1997, 64(3): 649–657. doi: https://doi.org/10.1115/1.2788942

Abstract

View articletitled, Response and Stability of Square Tubes Under Bending

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Topics: Stability , Collapse , Compression , Flanges , Kinematics , Steel

The Hamilton-Jacobi Equation Applied to Continuum

C. M. Leech

J. Appl. Mech. September 1997, 64(3): 658–663. doi: https://doi.org/10.1115/1.2788943

Abstract

View articletitled, The Hamilton-Jacobi Equation Applied to Continuum

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Topics: Hamilton-Jacobi equations , Dynamics (Mechanics) , Partial differential equations , Vibration

Finite Element Method for Stochastic Beams Based on Variational Principles

Y.-J. Ren, I. Elishakoff, M. Shinozuka

J. Appl. Mech. September 1997, 64(3): 664–669. doi: https://doi.org/10.1115/1.2788944

Abstract

View articletitled, Finite Element Method for Stochastic Beams Based on Variational Principles

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Topics: Finite element methods , Variational principles , Displacement , Stiffness , Finite element analysis , Simulation , Statistical distributions

Stochastic Vibration of a Mobile Manipulator

U. O. Akpan, M. R. Kujath

J. Appl. Mech. September 1997, 64(3): 670–675. doi: https://doi.org/10.1115/1.2788945

Abstract

View articletitled, Stochastic Vibration of a Mobile Manipulator

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Topics: Manipulators , Vibration , Vehicles , Damping , Excitation , Manipulator design , Spectral energy distribution , Stiffness , Surface roughness , Suspension systems

Vibrations of Ballooning Elastic Strings

F. Zhu, R. Sharma, C. D. Rahn

J. Appl. Mech. September 1997, 64(3): 676–683. doi: https://doi.org/10.1115/1.2788946

Abstract

View articletitled, Vibrations of Ballooning Elastic Strings

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Topics: String , Vibration , Steady state , Tension , Whirls , Oscillating frequencies , Dynamic response , Eigenvalues , Flutter (Aerodynamics) , Stability

Closed-Form Solutions and the Eigenvalue Problem for Vibration of Discrete Viscoelastic Systems

A. Muravyov, S. G. Hutton

J. Appl. Mech. September 1997, 64(3): 684–691. doi: https://doi.org/10.1115/1.2788947

Abstract

View articletitled, Closed-Form Solutions and the Eigenvalue Problem for Vibration of Discrete Viscoelastic Systems

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Topics: Eigenvalues , Vibration , Laplace transforms , Relaxation (Physics)

Brief Notes

The Reissner-Sagoci Problem for the Transversely Isotropic Half-Space

M. T. Hanson, I. W. Puja

J. Appl. Mech. September 1997, 64(3): 692–694. doi: https://doi.org/10.1115/1.2788948

Abstract

View articletitled, The Reissner-Sagoci Problem for the Transversely Isotropic Half-Space

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Topics: Isotropy , Torsion

An Approximate Analysis of Notch-Tip Deformation Under Mixed-Mode Loading in Ductile Solids

A. K. Ghosal, R. Narasimhan

J. Appl. Mech. September 1997, 64(3): 695–696. doi: https://doi.org/10.1115/1.2788949

View articletitled, An Approximate Analysis of Notch-Tip Deformation Under Mixed-Mode Loading in Ductile Solids

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Topics: Deformation , Solids

An Axisymmetric Inclusion in One of Two Perfectly Bonded Dissimilar Elastic Half-Spaces

A. M. Korsunsky

J. Appl. Mech. September 1997, 64(3): 697–700. doi: https://doi.org/10.1115/1.2788950

Abstract

View articletitled, An Axisymmetric Inclusion in One of Two Perfectly Bonded Dissimilar Elastic Half-Spaces

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Topics: Space , Relaxation (Physics) , Scalars , Stress

Thermal Post-buckling Analysis of Imperfect Laminated Plates on Two-Parameter Elastic Foundations

Hui-Shen Shen, F. W. Williams

J. Appl. Mech. September 1997, 64(3): 700–704. doi: https://doi.org/10.1115/1.2788951

View articletitled, Thermal Post-buckling Analysis of Imperfect Laminated Plates on Two-Parameter Elastic Foundations

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Topics: Buckling , Plates (structures)

A Remarkable Tensor in Plane Linear Elasticity

Q.-C. He

J. Appl. Mech. September 1997, 64(3): 704–707. doi: https://doi.org/10.1115/1.2788952

Abstract

View articletitled, A Remarkable Tensor in Plane Linear Elasticity

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Topics: Elasticity , Tensors , Boundary-value problems , Rotation , Scalars , Traction

Analysis of the Motion of a Frictional Elastic Ball Dropped on an Inclined Surface

S. V. Myagchilov, J. T. Jenkins

J. Appl. Mech. September 1997, 64(3): 707–709. doi: https://doi.org/10.1115/1.2788953

View articletitled, Analysis of the Motion of a Frictional Elastic Ball Dropped on an Inclined Surface

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Eigenvalue and Eigenvector Determination for Damped Gyroscopic Systems

D. P. Malone, D. L. Cronin, T. W. Randolph

J. Appl. Mech. September 1997, 64(3): 710–712. doi: https://doi.org/10.1115/1.2788954

View articletitled, Eigenvalue and Eigenvector Determination for Damped Gyroscopic Systems

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Topics: Eigenvalues

Linear Systems Excited by Polynomials of Filtered Poission Pulses

M. Di Paola

J. Appl. Mech. September 1997, 64(3): 712–717. doi: https://doi.org/10.1115/1.2788955

Abstract

View articletitled, Linear Systems Excited by Polynomials of Filtered Poission Pulses

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Topics: Differential equations , Excitation , Linear systems , Polynomials , White noise

The, Order of Stress Singularities in Orthotropic Wedges

A. Selvarathinam, S. S. Pageau

J. Appl. Mech. September 1997, 64(3): 717–719. doi: https://doi.org/10.1115/1.2788956

Abstract

View articletitled, The, Order of Stress Singularities in Orthotropic Wedges

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Topics: Stress singularity , Wedges , Anisotropy , Corners (Structural elements) , Materials properties

Discussion

Discussion: “Local Stability of Gyroscopic Systems Near Vanishing Eigenvalues” (Renshaw, A. A., and Mote, C. D., Jr., 1996, ASME J. Appl. Mech., 63, pp. 116-120)

A. P. Seyranian

J. Appl. Mech. September 1997, 64(3): 720. doi: https://doi.org/10.1115/1.2788957

View articletitled, Discussion: “Local Stability of Gyroscopic Systems Near Vanishing Eigenvalues” (Renshaw, A. A., and Mote, C. D., Jr., 1996, ASME J. Appl. Mech., 63, pp. 116-120)

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Topics: Eigenvalues , Stability

Closure to “Discussion of ‘Local Stability of Gyroscopic Systems Near Vanishing Eigenvalues’” (1997, ASME J. Appl. Mech., 64, p. 720)

A. A. Renshaw

J. Appl. Mech. September 1997, 64(3): 720. doi: https://doi.org/10.1115/1.2788958

View articletitled, Closure to “Discussion of ‘Local Stability of Gyroscopic Systems Near Vanishing Eigenvalues’” (1997, ASME J. Appl. Mech., 64, p. 720)

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Topics: Stability

Discussion: “The Elastic Field in a Half-Space With a Circular Cylindrical Inclusion” (Wu, L. A., and Du, S. Y., 1996, ASME J. Appl. Mech., 63, pp. 925-932)

H. Y. Yu

J. Appl. Mech. September 1997, 64(3): 721. doi: https://doi.org/10.1115/1.2788959

View articletitled, Discussion: “The Elastic Field in a Half-Space With a Circular Cylindrical Inclusion” (Wu, L. A., and Du, S. Y., 1996, ASME J. Appl. Mech., 63, pp. 925-932)

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Closure to “Discussion of ‘The Elastic Field in a Half-Space With a Circular Cylindrical Inclusion’” (1997, ASME J. Appl. Mech., 64, p. 721)

Lin Zhi Wu

J. Appl. Mech. September 1997, 64(3): 721. doi: https://doi.org/10.1115/1.2788960

View articletitled, Closure to “Discussion of ‘The Elastic Field in a Half-Space With a Circular Cylindrical Inclusion’” (1997, ASME J. Appl. Mech., 64, p. 721)

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Disucssion: “An Integral-Equation Formulation for Anisotropic Elastostatics” (Perez, M. M., and Wrobel, L. C., 1996, ASME J. Appl. Mech., 63, pp. 891-902)

C. Song, J. P. Wolf

J. Appl. Mech. September 1997, 64(3): 721–722. doi: https://doi.org/10.1115/1.2788961

View articletitled, Disucssion: “An Integral-Equation Formulation for Anisotropic Elastostatics” (Perez, M. M., and Wrobel, L. C., 1996, ASME J. Appl. Mech., 63, pp. 891-902)

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Topics: Anisotropy , Integral equations

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