scientific article

zbMath0291.73018MaRDI QIDQ4042716

A. Cemal Eringen, Erdoğan S. Şuhubi

Publication date: 1974

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

Mathematics Subject Classification ID

Nonlinear elasticity (74B20) Thermodynamics in solid mechanics (74A15) Research exposition (monographs, survey articles) pertaining to mechanics of deformable solids (74-02) Theory of constitutive functions in solid mechanics (74A20) Hyperbolic equations and hyperbolic systems (35Lxx) Waves in solid mechanics (74Jxx) Elastic materials (74Bxx)

Related Items (83)

Wave propagation in rigid dielectrics with polarization inertia ⋮ Vibration analysis of elastic spherical shells ⋮ Pulse waves in prestressed arteries ⋮ The relativistic theory of wave front propagation in non-heat conducting thermoelastic materials - Variation of amplitude of waves ⋮ A generalization of Ko's strain-energy function ⋮ Determination of dynamic effective properties in functionally graded materials ⋮ Nonlinear surface SH waves in a half-space covered by an irregular layer ⋮ Effect of initial twist on wave characteristics in a prestressed fluid-filled elastic thin tube ⋮ Nonlinear modulation of Love waves in a compressible hyperelastic layered half-space ⋮ An investigation of acceleration waves in a perfectly conducting magnetohydrodynamic fluid ⋮ Acceleration waves and ellipticity in thermoelastic micropolar media ⋮ Velocity-based reciprocal theorems in elastodynamics and BIEM implementation issues ⋮ The principle of virtual work and the third-order wave for continua with second-order constitutive equations ⋮ Connection machine simulation of ultrasonic wave propagation in materials. II: The two-dimensional case ⋮ Small but finite amplitude waves in a two-layered incompressible elastic medium ⋮ Transient response of an infinite elastic medium containing a spherical cavity with and without a shell embedment ⋮ Wave propagation in a viscous fluid contained in a prestressed viscoelastic thin tube ⋮ Transient response of a cylindrical cavity with and without a bonded shell in an infinite elastic medium ⋮ Small torsional vibration superposed on finitely deformed state of a circular cylindrical rod of transversely isotropic elastic material ⋮ Stress formulation of acoustoelasticity ⋮ Mixed convolved action principles in linear continuum dynamics ⋮ Spectral/critical speed characteristics of structure subject to moving loads ⋮ Weak shock waves in non-heat conducting thermoelastic materials - variation of amplitude of the weak shocks ⋮ The evolutionary behaviour of plane transverse weak nonlinear shock waves in unstrained incompressible isotropic elastic non-conductors ⋮ Stationary dynamic displacement solutions for a rectangular load applied within a 3D viscoelastic isotropic full space. I: Formulation ⋮ Acceleration wave propagation in hyperelastic rods of variable cross- section ⋮ Nonlinear correction to the Euler buckling formula for compressed cylinders with guided-guided end conditions ⋮ Analyzing of the effect of the dusty fluid, anisotropy and layered of the wall on the wave propagation ⋮ Étude mathématique des modes guidés dans un milieu élastique à symétrie de révolution ⋮ Free torsional vibration of thick isotropic incompressible circular cylindrical shell subjected to uniform external pressure ⋮ Weak shock waves in heat conducting thermoelastic materials ⋮ Wave fronts in nonhomogeneous elastic media ⋮ Banalce laws of continuum physics ⋮ Supersonic rupture of rubber ⋮ A Boundary Algebraic Formulation for Plane Strain Elastodynamic Scattering ⋮ Global solutions to repulsive Hookean elastodynamics ⋮ Constitutive equations and nonlinear waves ⋮ A class of similarity solutions for radial motions of compressible hyperelastic spheres and cylinders ⋮ Similarity solutions for plane waves in hyperelastic materials ⋮ Torsional waves in a stressed elastic tube filled with a viscous fluid ⋮ Wave propagation in elastic solids infused with fluids ⋮ Local and nonlocal symmetries for nonlinear telegraph equation ⋮ 19.—Propagation of Weak Discontinuities in a Layered Hyperelastic Half-space ⋮ Wave propagation in multilayered anisotropic solids ⋮ Wave propagation through a viscous fluid contained in a prestressed thin elastic tube ⋮ Frequency response of the axisymmetrically finite pre-stretched slab from incompressible functionally graded material on a rigid foundation ⋮ Two-dimensional elasticity solution for transient response of simply supported beams under moving loads ⋮ Long-time behavior and weak-strong uniqueness for incompressible viscoelastic flows ⋮ Electric field gradients and spontaneous quadrupoles in elastic ferroelectrics ⋮ Finite Amplitude Waves in Nonlinear Elastodynamics and Related Theories: A Personal Overview? ⋮ Numerical Methods for Elastic Wave Propagation ⋮ The evolution laws of dilatational spherical and cylindrical weak nonlinear shock waves in elastic non-conductors ⋮ Infinitesimal discontinuities in initially stressed relativistic elastic solids ⋮ Multiphase flow modeling with density functional method ⋮ Dynamic expansion of a compressible hyperelastic spherical shell ⋮ On the electrodynamics of deformable media. Part II ⋮ Weakly Nonlinear Oscillations Superimposed on Finite Circumferential Shear of a Compressible, Nonlinear, Viscoelastic, Isotropic Material ⋮ Torsional oscillations of an infinite cylindrical elastic tube under large internal and external pressure ⋮ Crack Propagation in Finite Elastodynamics ⋮ The vibrations of a thin-walled elastic cylinder under axial stress ⋮ Nonlinear Modulation of Surface SH Waves in a Double Layered Elastic Half Space ⋮ Non-symmetrical waves in a prestressed elastic tube filled with an inviscid fluid ⋮ Dynamics of Initially Stressed Hyperelastic Solids ⋮ Pulse waves in a prestressed elastic tube ⋮ Sub transitional and supersonic travelling field response in nonlinear viscoelastic media ⋮ Macroscopic effects of micro-shear banding in plasticity of metals ⋮ Propagation of waves from a spherical cavity with and without a shell embedment ⋮ On the propagation of nonlinear SH waves in a two-layered compressible elastic medium ⋮ Conservation laws for nonlinear telegraph equations ⋮ Local and nonlocal buckling of Mooney-Rivlin rods ⋮ Acceleration waves in elastic dielectrics with polarization gradient effects ⋮ Response of a viscoelastic half-space to time dependent moving surface loads ⋮ Oscillating two-phase flow in a prestressed thick elastic tube ⋮ On the regularity of one-dimensional elastic waves in an incompressible isotropic material ⋮ Scattering of simple harmonic waves by a circular cavity in a fluid- infiltrated poro-elastic medium ⋮ Large shearing oscillations of incompressible nonlinearly elastic bodies ⋮ Acceleration waves in a diatomic solid ⋮ Comparing symmetries and conservation laws of nonlinear telegraph equations ⋮ Nonlinear Love-type waves in a heterogeneous layer sandwiched between two semi-infinite media ⋮ Finite deformations of compressible hyperelastic tubes subjected to circumferential shear ⋮ Particle modelling of an elastic arch in three dimensions ⋮ Wave propagation in a prestressed elastic tube filled with a viscous fluid ⋮ Gauge field theory of a continuum with dislocations and disclinations

This page was built for publication: