On the Deformation Theory of a Class of Randomly Structured Composite Systems

1992 ◽  
Vol 114 (2) ◽  
pp. 110-116 ◽  
Author(s):  
Y. M. Haddad

The mechanical response of a two-dimensional fiber-composite system is considered with the inclusion of the microstructure. The material system is seen as a viscoelastic matrix which contains a layer of randomly oriented, short elastic fibers. In this approach, the mechanics of the discrete microstructure introduce the relevant field quantities as random variables or functions of such variables and their corresponding distribution functions. The analysis is presented in a general form and could be applicable to a large class of randomly structured composite systems.

1989 ◽  
Vol 111 (2) ◽  
pp. 177-182 ◽  
Author(s):  
Y. M. Haddad ◽  
S. Tanary

The temperature-dependent creep of a class of composite systems is considered with the inclusion of the microstructure. The material system is regarded as a three-dimensional viscoelastic matrix which is reinforced with randomly oriented, short viscoelastic fiber-bundles. The nonlinear creep response of the composite matrix is modeled within the considered temperature range, using a modified form of the hereditary constitutive equation in linear viscoelasticity. The time-dependent behavior of the individual fiber-bundle is formulated as a combination of a viscoelastic matrix substance within the bundle and an ensemble of unidirectional, elastic fibers. The macroscopic behavior of the randomly oriented, fiber-composite is determined, with the inclusion of the microstructure, using the laminate analogy which assumes that the random fiber-composite may be treated as a laminated “quasi-isotropic” material. The presented approach is illustrated numerically for the case of the creep of SMC-R50 composite system within a temperature range of 28° to 76°C. The theoretical model is presented in a generalized manner and could be applicable to a large class of composite systems.


1996 ◽  
Vol 459 ◽  
Author(s):  
T. A. Duenas ◽  
L. Hsu ◽  
G. P. Cakman

ABSTRACTExperimental and theoretical results are presented for a composite magnetostrictive material system. This material system contains Terfenol-D particles blended with a binder resin and cured in the presence of a magnetic field to form a 1–3 composite. Test data indicates that the magnetostrictive material can be preloaded in-situ with the binder matrix resulting in orientation of domains that facilitate strain responses comparable to monolithic Terfenol-D. Two constitutive equations for the monolithic material are described and a concentric cylinders model is used to predict the response of the composite structure. Experimental data obtained from the composite systems coincide with the analytical models within 10%. Particle size, resin system, and volume fraction are shown to significantly influence the response of the fabricated composite system.


2008 ◽  
Author(s):  
F. H. Donaldson ◽  
W. C. Persinger ◽  
R. S. Morrison ◽  
D. Lieu ◽  
H. Jarvis ◽  
...  

1954 ◽  
Vol 58 (526) ◽  
pp. 703-719 ◽  
Author(s):  
R. E. D. Bishop

SummaryComplicated oscillatory systems may be broken down into component “ sub-systems ” for the purpose of vibration analysis. These will generally submit more readily to analytical treatment. After an introduction to the concept of receptance, the principles underlying this form of analysis are reviewed.The dynamical properties of simple systems (in the form of their receptances) may be tabulated. By this means the properties of a complicated system may be found by first analysing it into convenient sub-systems and then extracting the properties of the latter from a suitable table. A catalogue of this sort is given for the particular case of conservative torsional systems with finite freedom.The properties of the composite system which may be readily found in this way are (i) its receptances and (ii) its frequency equation. Tables are given of expressions for these in terms of the receptances of the component sub-systems. All of the tables may easily be extended. The tabulated receptances may also be used for determining relative displacements during free vibration in any principal mode.A method of presenting information on the vibration characteristics of machinery, which is effectively due to Carter, is illustrated by means of an example. More general adoption by manufacturers of this method (which requires no more computational effort than must normally be made) would lead to enormous savings of labour in calculating natural frequencies of composite systems.


2011 ◽  
Vol 110-116 ◽  
pp. 1166-1170 ◽  
Author(s):  
Hasan Behzadpoor ◽  
Saeed Masoumi ◽  
Manouchehr Salehi

The micromechanical approach of Simplified Unit Cell Method (SUCM) in closed-form three dimensional solutions is used for predicting creep response of unidirectional fiber reinforced composites. The composite consist of elastic fibers reinforcing nonlinear viscoelastic resin. The nonlinear viscoelastic matrix behavior is modeled by using Schapery single integral viscoelastic constitutive equation. Off-axis specimens of graphite/epoxy with 45 and 90 fiber orientations were subjected to 480 minutes creep tests and the results is compared with experimental data and MOC results available in the literature. There is good agreement with experimental results due to using SUCM.


1999 ◽  
Author(s):  
A. M. Karlsson

Abstract A common method to strengthening or stiffening a weak part of an airplane structure is to adhere a patch over the inferior surface. Typically, this is done in order to prevent a crack from initiating, or to prevent an already existing crack from growing. Evaluation of the efficiency of the patch has traditionally been done with respect to the extent of crack growth, (e.g. Park et al. 1992, and Paul and Jones, 1992), which of course is of crucial interest. However, the integrity of the patched system needs to be considered as well, since the failure of the composite system (formed by the patch and the base structure) may lead to a rapid growth of the preexisting crack in the base structure and may have overall catastrophic consequences. In this study we are therefore interested in investigating the initiation of debonding between the patch and the base structure, as well as the extent and stability of the debonding. Early studies we conducted with respect to debonding suggested that relative long and relative compliant patches were preferred. Furthermore, an investigation regarding the effects of edge tapering on the debonding behavior showed that there are situations where a beveled edge may increase the propensity for debonding, requiring careful selection to achieve a suitable taper angle. In the present study, we investigate the integrity of the composite system for a base structure made from aluminum, and the patch made from aluminum or fiber reinforced epoxy, where both carbon and glass fiber are studied. In particular, we compare the materials selection in the patch, and for the case of a fiber-reinforced epoxy we also discuss the lay-up sequence. To model the debonding behavior, an analytical model developed previous is extended to allow for the current materials properties. This model is fully self consistent and includes a Griffith type fracture criteria which yields the condition for the propagating bond zone boundary. The model also considers the unbonded part of the patch, which has earlier been shown to be in either of three configurations: (i) full sliding contact between the unbonded part of the patch and the base structure, (ii) only the edge of the patch remains in sliding contact with the base structure, or (iii) the patch has totally lifted of the base structure. Results for both flat and curved structures are presented, as well as for a range of loading and boundary conditions. Among other results, it is seen that the degree of tapering is a more important parameter than the stacking sequence is with respect to the initiation and extent of debonding. Furthermore, a simplified testing method is discussed. In this method, the critical load for a case of simple boundary and loading conditions for a particular material system can be directly translated to the critical load for a more complicated structure.


2012 ◽  
Vol 476-478 ◽  
pp. 767-770
Author(s):  
Xi Wen Jia ◽  
Jia Zhi Su ◽  
Yi Zhu Zheng ◽  
Bo Hong Gu ◽  
Bao Zhong Sun

The mechanical response and damage mechanism of a 3D multi-structured knitted composite under quasi-tensile loadings are investigated based on experimental results. The multi-structured knitted composite consists of two knitted fabrics with weft double-faced interlock knitted fabric as core material and biaxial warp-knitted fabric as surface layer in the above-mentioned composite system, respectively. The tensile stress against strain curve is obtained to analyze the mechanical behavior. Furthermore, the failure mechanisms of 3D multi-structured knitted composite are discussed from the experimental observations by the initiation and propagation of damaged zone in knitted composites.


Materials ◽  
2004 ◽  
Author(s):  
James Pearson ◽  
Mohanraj Prabhugoud ◽  
Mohammed Zikry ◽  
Kara Peters

The long-term goal of this project is the development of embedded, optimally distributed, multi-scale sensing methodologies that can be integrated into material systems for failure identification in structural systems. The coupling of sensor data fusion with a three-dimensional predictive framework will provide insight and understanding of events that are difficult, if not impossible, in any experimental study, such as subsurface damage and crack nucleation in structural systems. The current work presents an experimental study of the survivability and degradation behavior of an optical fiber Bragg grating sensor, surface mounted on a woven fiber composite material system during multiple low velocity impacts. The results reveal that as sensor degradation occurs, additional coupling phenomena other than Bragg reflection are observed in the grating sensor. From these additional modes, information on the sensor/host bond and fiber degradation is obtained.


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