Developments in Theoretical and Applied Mechanics

Developments in Theoretical and Applied Mechanics

Proceedings of the Third Southeastern Conference on Theoretical and Applied Mechanics

1st Edition - January 1, 1967

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  • Editor: W. A. Shaw
  • eBook ISBN: 9781483151342

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Developments in Theoretical and Applied Mechanics, Volume 3 presents papers on the proceedings of the Third Southeastern Conference on Theoretical and Applied Mechanics held in Columbia, S. Carolina on March 31-April 1, 1966. The book covers papers in the areas of continuum mechanics, elasticity, plates and shells, applied mechanics, experimental mechanics, wave propagation, dynamics, vibrations, and fluid mechanics. Physical chemists and mechanical engineers will find the book invaluable.

Table of Contents

  • Foreword


    Continuum Mechanics

    Time and Displacement Bound Theorems for Viscous and Rigid-Visco-Plastic Continua Subjected to Impulsive Loading

    Some Uniqueness and Extremum Principles for Rate-Type Materials

    Approach to Inelasticity Through Dislocations and Extended Slab Analogy

    Extended Theorems of Limit Analysis of Anisotropic Solids


    Crack Problems in the Theory of Elasticity (Special Lecture)

    Further Results on Center of Dilatation and Residual Stresses in Joined Elastic Half-Spaces

    Three-Dimensional Thermoelastic Problems of Planes of Discontinuities or Cracks in Solids

    Plane Elastostatic Analysis of an Infinite Plate with a Doubly Periodic Array of Holes or Rigid Inclusions

    Plates and Shells

    On the Nonlinear Theory of Thin Plates (Special Lecture)

    Vibration and Buckling of Thermally Stressed Plates of Trapezoidal Platform

    Axisymmetric Vibration of Hemispherical Shells

    Plastic Buckling of Flat, Simply Supported, Rectangular Sandwich Panels of Orthotropic Core with Different Face Thicknesses

    Limit Analysis of a Clamped Spherical Cap Using Linear Programming

    The Deformation of Thin Shells

    An Exact Formulation of the Linear Equation for Thick, Orthotropic Shells with Arbitrary, Imposed Temperature and Force Fields and Temperature-Dependent Parameters

    Membrane Theory for a Hemispherical Dome Subjected to a Wind Load

    Applied Mechanics

    A Numerical Method for the Conformal Mapping of Finite Doubly Connected Regions

    Determination of Elastic Compliances of Cylindrically Aeolotropic Plates

    Experiments on Large Amplitude Parametric Vibration of Rectangular Plates

    Experimental Mechanics

    Stress Wave Propagation in a Half Plane Due to a Transient Point Load

    Theoretical and Experimental Analyses of Creep of Statically Indeterminate Portal Frames

    Objective Experimental Stress Analysis Using the Moiré Method

    An Experimental Method to Analyze Gravitational Stresses in Two-Dimensional Problems

    Wave Propagation

    The Propagation and Reflection of Elastic Waves in Anisotropic Hollow Spheres and Cylinders

    Dynamic Response of an Infinite Cylinder to Asymmetric Pressure on its Lateral Surface

    Stress Wave Propagation in a Finite Viscoelastic Thin Rod with a Constitutive Law of the Hereditary Type

    Initial Shear Stresses in the Viscoelastic Half-Plane


    First-Order Secular Perturbations of an Artificial Earth Satellite Due to the Sun and Moon

    Dynamics of an Annular Disk Rolling on its Inner Rim on a Circular Cylinder

    Kinematics of a Three-Axis Gimbal System

    Dynamics of Elastically Connected Rigid Bodies


    Solutions for the Optimization of Support Conditions of Hypercritical Shafts on Three Flexible Supports

    Similar Motion of n-Degree of Freedom Nonlinear Vibrating Systems

    An Engineer Attacks the Second-Order Linear Differential Equation

    Longitudinal Vibrations of a Solid Propellant Rocket Motor

    Fluid Mechanics

    Further Investigation of Squeezing Flow Between Parallel Plates

    The Laminar Boundary Layer on a Circular Cylinder in an Oscillatory Axial Flow

    An Analysis of Axial Flow Through a Circular Channel Containing Rod Ousters

    Standing Gravity Waves of Finite Amplitude

    Generation and Propagation of Pressure Waves in Two-Phase Flow

    Nonlinear Propellant Sloshing in a Rectangular Container of Infinite Length

    The Effect of Permeability on Low Reynolds Number Flow Past a Circular Porous Cylinder

Product details

  • No. of pages: 490
  • Language: English
  • Copyright: © Pergamon 1967
  • Published: January 1, 1967
  • Imprint: Pergamon
  • eBook ISBN: 9781483151342

About the Editor

W. A. Shaw

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