Non-linear buckling of simple models with tilted cusp catastrophe

Lignos, Xenofon A.; Ioannidis, George; Kounadis, A. N.

doi:10.1016/s0020-7462(02)00061-6

Cited by 16 publications

(8 citation statements)

References 5 publications

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“…Navin [23] proposed a cusp catastrophe traffic model to explain sudden changes in traffic flow. Hall and others later demonstrated that traffic flow fits the cusp catastrophe surface [24][25][26][27]. According to basic cusp catastrophe theory, the total potential energy function of traffic flow ( (V)) is as follows:…”

Section: Problem Formulation Of Malicious Data Injection Attackmentioning

confidence: 99%

IA²P: Intrusion-Tolerant Malicious Data Injection Attack Analysis and Processing in Traffic Flow Data Collection Based on VANETs

Ding

Tan

Zhang

2016

International Journal of Distributed Sensor Networks

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Several studies investigating data validity and security against malicious data injection attacks in vehicular ad hoc networks (VANETs) have focused on trust establishment based on cryptology. However, the current researching suffers from two problems: (P1) it is difficult to distinguish an authorized attacker from other participators; (P2) the large scale of the system and high mobility set up an obstacle in key distribution with a security-based approach. In this paper, we develop a data-centric trust mechanism based on traffic flow theory expanding the notion of trust from intrusion-rejecting to intrusion-tolerant. First, we use catastrophe theory to describe traffic flow according to noncontinuous, catastrophic characteristics. Next, we propose an intrusion-tolerant security algorithm to protect traffic flow data collection in VANETs from malicious data injection attacks, that is, IA 2 P, without any security codes or authentication. Finally, we simulate two kinds of malicious data injection attack scenarios and evaluate IA 2 P based on real traffic flow data from Zhongshan Road in Dalian, China, over 24 hours. Evaluation results show that our method can achieve a 94% recognition rate in the majority of cases.

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Section: Problem Formulation Of Malicious Data Injection Attackmentioning

confidence: 99%

IA²P: Intrusion-Tolerant Malicious Data Injection Attack Analysis and Processing in Traffic Flow Data Collection Based on VANETs

Ding

Tan

Zhang

2016

International Journal of Distributed Sensor Networks

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“…A system with one degree of freedom, in the form of a rigid rod, hinged at the one end and loaded by a vertical force at the other, was dealt with by Lignos et al (2003). At its loaded end, the rod was supported by a spring of linear characteristics, and the non-linear theory was applied to formulate the stability problem.…”

Section: Geometrically Non-linear Conservative Systemsmentioning

confidence: 99%

Free vibrations and the stability of a geometrically non-linear column loaded by a follower force directed towards the positive pole

Tomski

Uzny

2008

International Journal of Solids and Structures

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A slender system, built as a geometrically non-linear system and subjected to specific load by a follower force directed towards the positive pole, is discussed. The load is induced by heads composed of circular-profile elements. The problem of stability and free vibration was formulated on the basis of Hamilton's principle and then, owing to its non-linearity, solved using the straightforward expansion method. This paper provides example results of numerical computations concerning the influence of selected parameters characterizing the considered column (including pre-stressing) on the stability and free vibration. The accuracy of the adopted mathematical model is also proved on the basis of experimental studies.

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“…35 It was demonstrated that mechanical buckling of metals, 42 rock-sliding process, 43 stress-induced crystal modification and shape-memory effects of metals and alloys 44 can be analyzed on the basic of the catastrophe theory. These studies suggest that other important problems in mechanical instability of polymers such as stress-induced crystallization behavior, neck-flow transition of fibers, and melt fracture in polymer processing could be qualitatively understood by the catastrophe theory.…”

Section: Final Remarksmentioning

confidence: 99%

Application of Catastrophe Theory to the Neck-initiation of Semicrystalline Polymers Induced by the Intercluster Links

Nitta

Takayanagi

2006

Polym J

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ABSTRACT:This paper deals with the neck initiation in semi-crystalline polymers having lamellar clusters connected by the intercluster links composed of extended-chain bundles as demonstrated by electron microscope pictures of polyethylene and polypropylene. When semicrystalline polymers are uniaxially deformed at a constant rate, the necking is usually initiated and the necking zone propagates at a constant speed along the sample specimen. The necking initiation is explained in this paper by a first order catastrophic phase transition in analogy of the model of van der Waals gas. Catastrophic arrangement of the intercluster links results in sudden emergence of the locally oriented region which will be a seed of the neck formation in further deformation. The analysis succeeded in phenomenological indications of the critical condition determining whether the deformation is accompanied by neck or not. 1 The necking phenomena, i.e., formation of localized ordering within a uniaxially stretched specimen have been widely observed and studied in many polymeric systems. In semicrystalline polymers such as polyethylene (PE) and polypropylene (PP), necking is associated with large-scale morphological transformation from isotropic spherulitic to anisotropic fibril structures accompanied by the destruction and/or rearrangement of the parts of the crystals. The yield point appeared as the maximum point of the nominal stress -elongation curves, accompanied by a lot of microshear bands. Beyond the yield point, the shear bands coalesce into a well-defined neck, the boundary of which propagates under essentially constant flow stress.2 Finally when the necking boundaries have propagated throughout the entire length of the specimen, the deformation will exhibit the character of strain hardening, and the specimen will break.When the specimen is extended at conventional elongation speed, a rise of temperature occurs in the region of the neck. It has long been considered that heterogeneous deformations in necking are caused by the local adiabatic heating. However, Brauwer-Müller 3 and Lazurkin 4 found that necking still take place under quasi-static conditions at very slow extension rates. Vincent 5 and Allison-Ward 6 demonstrated that the increase in temperature is quite small and the adiabatic temperature is not sufficient to give an explanation for necking. Further studies showed that when a necked specimen is heated up to melting temperature, shrinkage is observed which finally results in a recovery of the shape before necking. This forced elasticity effects strongly suggests the existence of molecular networks which have been formed during crystallization of the isotropic sample and the structure of which seems not to be modified significantly during deformation. Detail discussion of these phenomena is found in the text by Strobl.It is well known that the deformation of the sample is homogeneous up to the yield point 8 whereas once a neck forms, the deformation is inhomogeneous and large strains are involved in the neck. Accord...

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Non-linear buckling of simple models with tilted cusp catastrophe

Cited by 16 publications

References 5 publications

IA²P: Intrusion-Tolerant Malicious Data Injection Attack Analysis and Processing in Traffic Flow Data Collection Based on VANETs

IA²P: Intrusion-Tolerant Malicious Data Injection Attack Analysis and Processing in Traffic Flow Data Collection Based on VANETs

Free vibrations and the stability of a geometrically non-linear column loaded by a follower force directed towards the positive pole

Application of Catastrophe Theory to the Neck-initiation of Semicrystalline Polymers Induced by the Intercluster Links

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Non-linear buckling of simple models with tilted cusp catastrophe

Cited by 16 publications

References 5 publications

IA2P: Intrusion-Tolerant Malicious Data Injection Attack Analysis and Processing in Traffic Flow Data Collection Based on VANETs

IA2P: Intrusion-Tolerant Malicious Data Injection Attack Analysis and Processing in Traffic Flow Data Collection Based on VANETs

Free vibrations and the stability of a geometrically non-linear column loaded by a follower force directed towards the positive pole

Application of Catastrophe Theory to the Neck-initiation of Semicrystalline Polymers Induced by the Intercluster Links

Contact Info

Product

Resources

About

IA²P: Intrusion-Tolerant Malicious Data Injection Attack Analysis and Processing in Traffic Flow Data Collection Based on VANETs

IA²P: Intrusion-Tolerant Malicious Data Injection Attack Analysis and Processing in Traffic Flow Data Collection Based on VANETs