The Effect of the Property of Non-Linear Viscosity on the Interfacial Debonding of Particulate-Reinforced Polymers

2006 ◽  
Vol 324-325 ◽  
pp. 113-116
Author(s):  
Jian Kang Chen ◽  
Liu Hong Chang
Keyword(s):  
Matrix Material ◽  
Energy Criterion ◽  
Interfacial Debonding ◽  
Reinforced Polymers ◽  
Viscoelastic Matrix ◽  
Non Linear Equation ◽  
Linear Viscoelastic Material ◽  
Non Linear ◽  
Linear Viscoelastic ◽  
Particulate Reinforced

The debonding of a rigid particle embedded in an infinite non-linear viscoelastic material is investigated in this paper. Under sphere-symmetric deformation, a non-linear equilibrium equation expressed by velocity of a particle in the viscoelastic matrix material is derived. The strain rate is obtained by solving non-linear equation in terms of iterative method. According to the energy criterion, the critical instant of the interfacial debongding is calculated. Numerical results show that the influence of non-linear viscosity on the interfacial debonding is significant.

scholarly journals THE EXACT SOLUTION FOR STRAINS AND STRESSES IN A HOLLOW CYLINDER OF NON-LINEAR VISCOELASTIC MATERIAL SUBJECT TO INTERNAL AND EXTERNAL PRESSURES IN THE CASE OF POWER MATERIAL FUNCTION GOVERNING NON-LINEARITY

2020 ◽  
Vol 82 (2) ◽  
pp. 225-243
Author(s):  
A.V. Khokhlov
Keyword(s):  
Exact Solution ◽  
Creep Compliance ◽  
Stress Fields ◽  
Loading History ◽  
Material Function ◽  
Material Functions ◽  
External Pressures ◽  
Linear Viscoelastic Material ◽  
Non Linear ◽  
Linear Viscoelastic

We study analytically the exact solution of the quasi-static problem for a thick-walled tube of physically non-linear viscoelastic material obeying the Rabotnov constitutive equation with two arbitrary material functions (a creep compliance and a function which governs physical non-linearity). We suppose that a material is homogeneous, isotropic and incompressible and that a tube is loaded with time-dependent internal and external pressures (varying slowly enough to neglect inertia terms in the equilibrium equations) and that a plain strain state is realized, i.e. zero axial displacements are given on the edge cross sections of the tube. We previously have obtained the closed form expressions for displacement, strain and stress fields via the single unknown function of time and integral operators involving this function, two arbitrary material functions of the constitutive relation, preset pressure values and radii of the tube and derive functional equation to determine this unknown resolving function. Assuming creep complience is arbitrary and choosing the material function governing non-linearity to be power function with a positive exponent, we construct exact solution of the resolving non-linear functional equation, calculate all the convolution integrals involved in the general representation for strain and stress fields and reduce it to simple algebraic formulas convenient for analysis and use. Strains evolution in time is characterized by creep compliance function and loading history. The stresses in this case depend on the current magnitudes of pressures only, they don't depend on creep compliance (i.e. viscoelastic properties of a material) and on loading history. The stress field coincides with classical solution for non-linear elastic material or elastoplastic material with power hardening (for non-decreasing pressure difference). We obtain criteria for increase, decrease or constancy of stresses with respect to radial coordinate in form of inequalities for the exponent value and for difference of pressures. Assuming creep compliance is arbitrary, we study analytically properties of strain and stress fields in a tube under internal pressure growing with constant rate and properties of corresponding stress-strain curves implying measurement of strains at a surface point of a tubular specimen.

Evaluation and Analysis for the Surface Morphology and Mechanism Properties of the Self-Repair Microcapsule

2008 ◽  
Vol 373-374 ◽  
pp. 714-717 ◽  
Author(s):  
Yi Xin ◽  
Wei Zhang ◽  
Shu Zhang ◽  
Bin Shi Xu
Keyword(s):  
Epoxy Resin ◽  
Shell Thickness ◽  
Indentation Test ◽  
The Self ◽  
Linear Viscoelastic Material ◽  
Non Linear ◽  
The Matrix ◽  
Linear Viscoelastic ◽  
Self Repair ◽  
Average Size

The surface configuration, the size and the shell thickness of the microcapsule were investigated. The average size and shell thickness were 100-200μm and 10nm separately. The mechanism performance of the microcapsule was tested by Nano Indentation Test. The results showed that the shell material—UF behaved as a non-linear viscoelastic material that different from the macroscopical performance. Analyzed and computed the un-load curves by non-linear simulation, the results showed that Educed Modulus of the microcapsule was 8.201GPa, which was a little lower than that of the epoxy resin 9.26GPa. And it also proved that the self-repair microcapsule in the epoxy resin dope would break as the microcrack expanded in the matrix, and let out the repair agent to fill the crack and to recover the matrix.

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