Stress Analysis for a Nonlinear Viscoelastic Cylinder With Ablating Inner Surface

1970 ◽  
Vol 37 (1) ◽  
pp. 44-47 ◽  
Author(s):  
E. C. Ting
Keyword(s):  
Stress Analysis ◽  
Solid Propellant ◽  
Firing Condition ◽  
Real Situation ◽  
Nonlinear Viscoelastic ◽  
Incompressible Materials ◽  
Inner Surface ◽  
One Step ◽  
Technical Interest ◽  
Short Time

An approximate constitutive equation for nonlinear viscoelastic incompressible materials under small finite deformation and for short time ranges has been derived by Huang and Lee [1]. The resulting equation is applied to solve the problem of a pressurized viscoelastic hollow cylinder bonded to an elastic easing. This problem is of notable technical interest in solid propellant stress analysis, since it is a close model to represent a cylindrical propellant grain in a solid fuel rocket under firing condition. The method used by Huang and Lee is appropriate for numerical calculations when the boundaries of the cylinder are nonablating. To consider one step closer to the real situation, the inner surface is often assumed to be ablating and hence time-dependent. It is then the purpose of the present paper to extend the analysis to a cylinder with moving inner surface.

Nonlinear Viscoelasticity for Short Time Ranges

1966 ◽  
Vol 33 (2) ◽  
pp. 313-321 ◽  
Author(s):  
N. C. Huang ◽  
E. H. Lee
Keyword(s):  
Constitutive Equation ◽  
Numerical Solutions ◽  
Kernel Functions ◽  
Nonlinear Creep ◽  
Experimental Procedure ◽  
Nonlinear Viscoelastic ◽  
Tension Tests ◽  
Incompressible Materials ◽  
Inverse Interpolation ◽  
Short Time

Approximate constitutive equations for nonlinear viscoelastic incompressible materials under small finite deformation and for short time ranges are derived. The error bound of such a constitutive equation is investigated. Nonlinear creep is analyzed on the basis of the proposed equation, and also the problem of a pressurized viscoelastic hollow cylinder bonded to an elastic casing. Numerical solutions, evaluated by assuming particular forms of kernel functions in the constitutive equation, are obtained by means of an inverse interpolation technique, and the effects of nonlinearity of material properties are discussed. An experimental procedure is also proposed for measuring kernel functions from uniaxial tension tests for real materials.

Adsorption of anionic azo dyes using lignite coke by one-step short-time pyrolysis

Fuel ◽  
2020 ◽  
Vol 267 ◽  
pp. 117140 ◽  
Author(s):  
Qiongqiong He ◽  
Guoqiang Wang ◽  
Zishan Chen ◽  
Zhenyong Miao ◽  
Keji Wan ◽  
...  
Keyword(s):  
Azo Dyes ◽  
One Step ◽  
Short Time

Creep deformation and stress analysis in a transversely material disk subjected to rigid shaft

2019 ◽  
Vol 25 (1) ◽  
pp. 17-25
Author(s):  
Pankaj Thakur ◽  
Monika Sethi
Keyword(s):  
Stress Analysis ◽  
Creep Deformation ◽  
Radial Stress ◽  
Hoop Stress ◽  
Rotating Disk ◽  
Angular Speed ◽  
Transition Theory ◽  
Strain Rates ◽  
Maximum Value ◽  
Inner Surface

The purpose of this paper is to present a study of creep deformation and stress analysis in a transversely material disk subjected to the rigid shaft by using Seth’s transition theory. It has been observed that radial stress has the maximum value at the inner surface of the rotating disk made of isotropic material as compared to the hoop stress and this value of radial stress further increases with the increase in the value of angular speed. Strain rates have maximum values at the inner surface for the disk made of transversely material.

Kurzzeitpyrolyse, VI Ringverengungen durch CO-Eliminierung aus cyclischen Carbonylverbindungen / Short Time Pyrolysis, VI Ring Contractions by CO-Elimination from Cyclic Carbonyl Compounds

1977 ◽  
Vol 32 (7) ◽  
pp. 805-806 ◽  
Author(s):  
Gerhard Schaden
Keyword(s):  
Gas Phase ◽  
Carbonyl Compounds ◽  
One Step ◽  
Short Time

An one-step synthesis of benzocyclobutene (2) by gas-phase pyrolysis of indane-2-one (1) has been found. By the same method indane-1-one (3) and naphthoquinone(1,4) (5) gave indene-1 -one (4) and fluorene-9-one (7) formed biphenylene (8).

scholarly journals Thermal Elastic-Plastic Stress Analysis of an Aluminium Composite Disc under Linearly Decreasing Thermal Loading

2008 ◽  
Vol 17 (3) ◽  
pp. 096369350801700 ◽  
Author(s):  
Muzaffer Topcu ◽  
Gurkan Altan ◽  
Hasan Callioglu ◽  
Burcin Deda Altan
Keyword(s):  
Thermal Stress ◽  
Stress Analysis ◽  
Tangential Stress ◽  
Outer Surface ◽  
Thermal Stresses ◽  
Stress Component ◽  
Aluminium Composite ◽  
Hardening Material ◽  
Elastic Plastic ◽  
Inner Surface

In this study, an elastic-plastic thermal stress analysis of an orthotropic aluminium metal matrix composite disc with a hole has been investigated analytically for non-linear hardening material behaviour. The aluminium composite disc reinforced curvilinearly by steel fibres is produced under hydraulic press. The mechanical properties of the composite disc are obtained by tests. A computer program is developed to calculate the thermal stresses under a linearly decreasing temperature from inner surface to outer surface. Elastic, elastic-plastic and residual thermal stress distributions are obtained analytically from inner surface to outer surface and they are presented in tables and Fig. s. The elastic-plastic solution is performed for the plastic region expanding around the inner surface. The magnitude of the tangential stress component has been found out in this study to be higher than the magnitude of the radial stress component. Besides, the tangential stress component is compressive at the inner surface and tensile at the outer surface. The magnitude of the tangential residual stress component is the highest at the inner surface of the composite disc.

A Nonlinear Viscoelastic and Micromechanical Damage Constitutive Model for Solid Propellant

2013 ◽  
Vol 750-752 ◽  
pp. 2196-2199
Author(s):  
Zhi Xu Gu ◽  
Jian Zheng ◽  
Wei Peng ◽  
Xi Nan Tang ◽  
Jun Hui Yin
Keyword(s):  
Constitutive Model ◽  
Evolution Equation ◽  
Damage Evolution ◽  
Solid Propellant ◽  
Damage Evolution Equation ◽  
Nonlinear Viscoelastic ◽  
Tension Tests ◽  
Composite Solid Propellant ◽  
Damage Process ◽  
Viscoelastic Constitutive Model

This paper studies the damage process induced by dewetting microcracks in composite solid propellant. A nonlinear viscoelastic constitutive model for composite soild propellant is presented. The damage variable D is derived from the microcrack system and is function of microcrack size density. The damage evolution equation is determinded by the extending of microcrack. Form the proposed model of microrack evolution process, an explicit form of damage evolution equation which is a function of stress field is given. The cracking event N and the new crack surface area damage ΔA formed by microcrack extension are defined. Material constants are determinded by acoustic emission tests. The rationality of our model has been confirmed by tension tests.

Stress Analysis for a Nonlinear Viscoelastic Compressible Cylinder

1970 ◽  
Vol 37 (4) ◽  
pp. 1127-1133 ◽  
Author(s):  
E. C. Ting
Keyword(s):  
Large Deformations ◽  
Finite Deformations ◽  
Kernel Functions ◽  
Nonlinear Viscoelastic ◽  
Stress Strain Relation ◽  
Incompressible Materials ◽  
Small Deformations ◽  
Compressible Cylinder ◽  
Elastic Casing ◽  
Finite Difference Techniques

Real solids are not incompressible, although many viscoelastic materials which undergo large deformations show only small changes in volume under ordinary loading conditions. This paper is concerned with a pressurized isotropic viscoelastic hollow cylinder bonded to an elastic casing in which, during a finite deformation, the dilatational change in any element of the cylinder is a small quantity. The analysis is based in part upon the theory of small deformations superposed on finite deformations. Numerical calculations are evaluated by using finite-difference techniques and assuming particular forms of kernel functions in the stress-strain relation. The results for compressible and incompressible materials are compared.

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