Experimental Study of Mullins Effect in Natural Rubber for Different Stretch Conditions

Author(s):  
Elli Gkouti ◽  
Burak Yenigun ◽  
Krystof Jankowski ◽  
Aleksander Czekanski

Abstract We subjected rubber coupons to cyclical uniaxial tension to investigate the softening effect, where the primary loading at its initial position was followed by additional unloading and reloading. Less stress was required upon reloading than that required in the previous loading for the same degree of stretch, reached on the first loading. This stress softening is significant when reloading follows virgin loading. The magnitude of stress softening is related to the maximum stretch elastomers can achieve in each cycle. To investigate this phenomenon, rubber coupons were subjected to four cycles of simple tension until the desired stretch was reached. We expected that several tests under the same conditions would provide almost identical results. However, we observed different stress requirements for different degrees of stretch when multiple cycles of the same stretch were performed. For three different experimental tests of the same amount of stretch, we saw huge differences in each cycle of loading-relaxation-reloading, a phenomenon that was more obvious during stress relaxation.

Author(s):  
Mohd Halim Bin Mohd Shariff

Residual stress in purely elastic solids has been extensively studied in the literature. However, to the best of the author’s knowledge, the influence of residual stresses on anisotropic Mullins materials has not been studied. Hence, the aim of this paper is to propose an anisotropic phenomenological model to describe the Mullins phenomena for residually stressed elastomers; taking note that most materials are not purely elastic and some of them exhibit an anisotropic stress-softening phenomenon widely known as the Mullins effect. The anisotropic model is based on the use of direction-dependent damage parameters and a set of anisotropic spectral invariants presented recently in the literature by the author. The spectral invariants have a clear physical meaning that is useful in aiding the design of a rigorous experiment to construct a specific form of constitutive equation. Since boundary value results for residually stressed Mullins material are not found in the literature, the effect of residual stresses on the Mullins phenomena in simple tension, torsion and equibiaxial deformations is discussed in this paper.


Polymers ◽  
2020 ◽  
Vol 12 (7) ◽  
pp. 1588
Author(s):  
Wenshuai Xu ◽  
Mangong Zhang ◽  
Yu Liu ◽  
Hao Zhang ◽  
Meng Chen ◽  
...  

Elastomer compositions containing various particulate fillers can be formulated according to the specific functions required of them. Stress softening—which is also known as the Mullins effect—occurs during high loading and unloading paths in certain supramolecular elastomer materials. Previous experiments have revealed that the load–displacement response differs according to the filler used, demonstrating an unusual model of correspondence between the constitutive materials. Using a spherical indentation method and numerical simulation, we investigated the Mullins effect on polyurethane (PU) compositions subjected to cyclic uniaxial compressive load. The PU compositions comprised rigid particulate fillers (i.e., nano-silica and carbon black). The neo-Hooke model and the Ogden–Roxburgh Mullins model were used to describe the nonlinear deformation behavior of the soft materials. Based on finite element methods and parameter optimization, the load–displacement curves of various filled PUs were analyzed and fitted, enabling constitutive parameter prediction and inverse modeling. Hence, correspondence relationships between material components and constitutive parameters were established. Such relationships are instructive for the preparation of materials with specific properties. The method described herein is a more quantitative approach to the formulation of elastomer compositions comprising particulate fillers.


2011 ◽  
Vol 194-196 ◽  
pp. 848-852
Author(s):  
Duo Xin Zhang ◽  
Qing Yun Wang

This study centered on the development of constitutive model of the material based on damage mechanics. Volumetric expansion, unilateral behavior and softening effect have been pointed out as three difficulties during setting constitutive model of concrete, the applicable and deficiency of the existed constitutive relationship been reviewed, and the methods used to deal above difficulties were overviewed, Meanwhile, the background of existed model has been summarized and listed systematically. The development of a thermodynamic approach to constitutive model of concrete, with emphasis on the rigorous and consistency both in the formulation of constitutive models and in the identification of model parameters based on experimental tests has been potential direction of the future study, and hoped furnished basement for the elastic to plastic coupled damage mechanics constitutive model of concrete.


Polymer ◽  
2005 ◽  
Vol 46 (24) ◽  
pp. 10989-10995 ◽  
Author(s):  
David E. Hanson ◽  
Marilyn Hawley ◽  
Robert Houlton ◽  
Kiran Chitanvis ◽  
Philip Rae ◽  
...  

2014 ◽  
Vol 535 ◽  
pp. 692-700
Author(s):  
Xiao Ge ◽  
Ying Xu ◽  
Bin Dong ◽  
Zu Wen Liu

This essay presents an experimental study about softening effect of weak acid hydrogen type resin on viscous oil sewage of an oil production plant through ion exchange technique, and the test results show that: when the first level of ion exchange column adopts weak acid hydrogen type resin and the second level adopts weak acid sodium type resin, pH value of final effluent is 6.7~7.0, and average hardness is 0.02 mg·L-1; when the first-level resin is invalid and regenerated, with washing for 12h at the flow rate of 10BV/H by softened water after acid feeding, about 50% of the weak acid hydrogen type resin is transformed into sodium type, and after being put into operation, the pH value the hardness and other indexes of the first-level and second-level effluent conform to national requirements. It is thus clear that: compared with the traditional process of the first-level exchange column adopting the weak acid sodium type resin, the first-level exchange column adopting the weak acid hydrogen type resin has better softening effect on viscous oil sewage, reduces alkali transformation steps during regeneration, and reduces alkali cost and environmental pollution.


1967 ◽  
Vol 40 (3) ◽  
pp. 840-848 ◽  
Author(s):  
J. A. C. Harwood ◽  
A. R. Payne

Abstract Stress softening (Mullins effect) in gum natural rubber vulcanizates is similar in magnitude to that in carbon black filled vulcanizates. The amount of stress softening is slightly greater in vulcanizates cured to produce predominantly polysulfide crosslinks than in those containing monosulfide or carbon to carbon crosslinks. The total recovery of stress softening in the vulcanizates containing monosulfide or carbon to carbon crosslinks suggests that the phenomenon is attributable to a quasiirreversible rearrangement of molecular networks due to localized non-affine deformation resulting from short chains reaching the limit of their extensibility. This nonaffine deformation results in a displacement of the network junctions from their initial random state.


2019 ◽  
Vol 126 ◽  
pp. 97-110
Author(s):  
Jacek Kukulski ◽  
Jacek Makowski ◽  
Kazimierz Towpik

The article presents issues related to the CWR (continuous welded track) and discusses the problems associated with its operation. An important part of the article is the results of simulation tests carried out for the developed model of a CWR track loaded with various values of longitudinal forces that may occur during operation. The forces act in the rail due to the occurrence of thermal stresses with values depending on the temperature change of the rail. In addition to simulation tests, the concept of experimental tests that will be performed on a selected section of the railway line is also presented. The MS-02 device will be used to measure longitudinal forces under various load conditions and to maintain the contactless path. The results of measurements made in the exploited track will be used in the long term to verify and further improve the numerical models.


2018 ◽  
Vol 928 ◽  
pp. 20-25 ◽  
Author(s):  
Li Hong Huang ◽  
Xiao Xiang Yang ◽  
Jian Hong Gao

In this paper, experimental results that illustrate stress softening in carbon filled natural/styrene-butadiene blend rubber (NSBR) together with Mullins effect are introduced firstly. Then, based on these data, the Ogden constitutive model is derived. The theory of pseudo-elasticity is used in the model. It is found that theory of pseudo-elasticity and Ogden constitutive model is applicable in this composite.


2011 ◽  
Vol 339 ◽  
pp. 130-133
Author(s):  
Yang Min Zhou ◽  
Chao Li ◽  
Li Li Xu ◽  
Si Yi Luo ◽  
Chui Jie Yi

A kind of automatic backwash fiber bundle filter which is used for filtering the washing BFS water is designed and its properties have been studied. The high density particles in washing BFS water and suspended slag wool are the key factors for the filtering effect. By optimization design of structure, the filter has properties of big particles precipitation, automatic discharge of floating sludge and fixed pressure backwash. Through experimental tests, the results show that: the high density particles precipitation and filter layer regeneration rate are quicker; the ability of automatic discharge floating sludge is higher. Compared with the traditional fiber filters, this kind filter efficiency of this kind filters increases 15%.


2011 ◽  
Vol 189-193 ◽  
pp. 2949-2956 ◽  
Author(s):  
Zhe Wang ◽  
Xiao Ming Lai ◽  
Zhong Jin Wang ◽  
Qing Xin Cui ◽  
Wen Tao Li

To make full use of the promotion potential of hydrostatic stress on the formability of sheet metal, several foundational questions met in practical application of double-sided pressure forming technique are studied in this paper. The theoretical analysis of sheet metal deformation during the double-sided pressure bulging process is carried out, and an analytical approximation for normal pressure loading path that secures out-of-plane stress ratio, γ, continuously increasing (dγ ≥ 0 holds) is presented. Utilization of the relationship between the theoretical approximation for normal pressure load and material hardening properties, a novel double-sided pressure forming method is proposed—the viscous pressure bulging (VPB) of the overlapping sheet metals, in which a highly viscous but flowable semi-solid medium is used as the soft die and the target sheet metal is deformed under the constraints from viscous medium on one side and overlapping sheet on another side. To confirm the efficiency of the proposed method, the VPB test of overlapping sheet metals is simulated by DEFORM-2D, and the experimental tests are also carried out. The results show that σ3 provided by overlapping sheet can overcome the diminishing of γ value caused by evolving strain-hardening and geometric softening effect in the post-diffuse necking stage. The experimental obtained increase of the limit dome height (LDH) of double-sided pressure bulging specimen is 12.6% compared with that of single-sided pressure bulging specimens.


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