Dissipative heating of a viscoelastic cylinder steadily rolling over a rigid foundation

Abstract

A dissipative-heating problem for an incompressible viscoelastic cylinder rolling over a rigid foundation is solved. The effect of tangential stresses on the dissipative-heating temperature is examined

Vibration and dissipative heating of a layered rectangular viscoelastic prism under harmonic shear loading

“…The heating process reaches a steady thermal state under kinematic loading and may become avalanche-like (which is typical of thermal instability) under mechanical loading Keywords: viscoelastic material, vibrational heating, layered prism, shear loading Introduction. The vibrational heating of viscoelastic bodies is of theoretical and practical importance for the assessment of the fatigue strength of polymeric, including mechanical-rubber products [3, 5,17] and for the development of efficient polymer processes such as ultrasonic welding [4].Vibrational-heating models for linear and nonlinear viscoelastic and viscoplastic bodies are justified in numerous studies [8,13,15,19,23], their results being systematized and generalized in the monograph [5] and reviews [11,12,22]. An analysis of the experimental and theoretical studies [14,19,23] reveals that the coupled thermomechanical behavior of inelastic bodies under harmonic loading is well described with the help of the concept of complex moduli [14,16,18,20].…”

Identification of the thermal and thermostressed states of a two-layer cylinder from surface displacements

“…Methods to solve thermoelastic problems for inhomogeneous bodies under various loading conditions are outlined in [4,6,[17][18][19][20][21]. Thus, the law of time variation in the temperature of the boundary surface r = k 1 is unknown, i.e., the function t…”

Correspondence principles for complex shear characteristics in a nonisothermal model of monoharmonic approximation for physically nonlinear materials

“…Modeling the mechanical behavior of inelastic materials and structural members under cyclic loading is of theoretical and practical importance in studying the dissipation and accumulation of energy in materials, evaluating the highand low-cycle fatigue of structural members, damping vibrations, etc. [9,10,15,18,[20][21][22].A fundamental result in the theory of linear viscoelasticity is experimental and theoretical justification of the concept of complex mechanical characteristics that describe the behavior of a material under harmonic loading [1,3,11,17]. In these publications, the concept of complex characteristics was generalized to nonisothermal processes for specific classes (thermorheologically simple) materials.…”

“…Modeling the mechanical behavior of inelastic materials and structural members under cyclic loading is of theoretical and practical importance in studying the dissipation and accumulation of energy in materials, evaluating the highand low-cycle fatigue of structural members, damping vibrations, etc. [9,10,15,18,[20][21][22].…”