• Title/Summary/Keyword: kneading matrix

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INVARIANCE OF KNEADING MATRIX UNDER CONJUGACY

  • Gopalakrishna, Chaitanya;Veerapazham, Murugan
    • Journal of the Korean Mathematical Society
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    • v.58 no.2
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    • pp.265-281
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    • 2021
  • In the kneading theory developed by Milnor and Thurston, it is proved that the kneading matrix and the kneading determinant associated with a continuous piecewise monotone map are invariant under orientation-preserving conjugacy. This paper considers the problem for orientation-reversing conjugacy and proves that the former is not an invariant while the latter is. It also presents applications of the result towards the computational complexity of kneading matrices and the classification of maps up to topological conjugacy.

RELATION BETWEEN KNEADING MATRICES OF A MAP AND ITS ITERATES

  • Gopalakrishna, Chaitanya;Veerapazham, Murugan
    • Communications of the Korean Mathematical Society
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    • v.35 no.2
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    • pp.571-589
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    • 2020
  • It is known that the kneading matrix associated with a continuous piecewise monotone self-map of an interval contains crucial combinatorial information of the map and all its iterates, however for every iterate of such a map we can associate its kneading matrix. In this paper, we describe the relation between kneading matrices of maps and their iterates for a family of chaotic maps. We also give a new definition for the kneading matrix and describe the relationship between the corresponding determinant and the usual kneading determinant of such maps.

Optimization of Composite MIM Feedstock Rheological Behaviour by Experimental Analysis

  • Chen, Chih-Cherng;Wu, Chi-Wen;Yen, Chih-Ming
    • Proceedings of the Korean Powder Metallurgy Institute Conference
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    • 2006.09a
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    • pp.495-496
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    • 2006
  • The kneading process and formulations of feedstock obviously affect the quality of MIM products. In the present work, the rheological behaviour of the composite MIM feedstock, metal matrix (Cu) with few additions of ceramic powders $(Al_2O_3)$, was measured by a self-designed/manufactured simple capillary rheometer. Experimental results show that the distribution between powders and binder is more uniformly when blending time increased. Though high powder loading will increase the feedstock viscosity, the fluidity reveals relatively stable through the load curves of extrusion. Besides, the temperature-dependence of viscosity of the feedstock approximately follows an Arrehnius equation. Basing on Taguchi's method, the kneading optimization conditions and the rheological model of the feedstock were established, respectively.

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Preparation and Characterization of Polyamide/MEPDM Alloy to Improve a Low Temperature Impact Strength and Antistatic Property (저온 충격강도 및 대전방지성 향상을 위한 개질 EPDM을 함유한 polyamide alloy의 제조 및 물성)

  • Lee, Soo;Jin, Seok-Hwan
    • Journal of the Korean Applied Science and Technology
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    • v.28 no.3
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    • pp.299-305
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    • 2011
  • Alloys of nylon(PA6) and ethylene-propylene-diene polymer, modified with maleic anhydride(MEPDM) were prepared using a melt kneading process. This study focuses on the effects of the content of MEPDM in PA6 blend on the mechanical and thermal properties of such blends where MEPDM is the dispersed phase. Mechanical properties were examined by stress-strain measurements and impact strength test. Both impact strength of PA6/MEPDM at room temperature and at $-20^{\circ}C$ were improved up to 400-550% with the amounts of MEPDM. However, PA6/MEPDM containing 3-5 wt% of MEPDM showed the about $700kg_f/m^2$ of the maximum tensile strength but 8.5 % of the lowest elongation. For certain compositions of PA6 with rubbery MEPDM, the interesting reduction of elongation is caused by the reaction of the polyamide amine end groups with maleic anhydride portion in MEPDM, that provided a reinforcement in the PA6 matrix. In addition, the introduction of antistatic agent on the surface of alloys causes significant reduction of their surface electrostatic resistance.

Biodegradable PLA-based Biocomposites with Spent Coffee Grounds as Degradation Accelerator: Hydrolytic Degradation and Characterization Research

  • Kim, Youngsan;Lim, Daekyu;Kwon, Sangwoo;Jang, Hyunho;Park, Su-il
    • KOREAN JOURNAL OF PACKAGING SCIENCE & TECHNOLOGY
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    • v.28 no.2
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    • pp.89-95
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    • 2022
  • The goal of this study was to evaluate the effect of spent coffee grounds (SCG) biofiller on the morphological, thermal, mechanical and hydrolytic degradation characteristics of poly(lactic acid) (PLA) based biocomposites. The PLA-based biocomposite films were fabricated by using a high-viscosity kneading and hot-pressing machine. The PLA/SCG biocomposites were analyzed with SEM, DSC, TGA, UTM and hydrolytic degradation test. Aggregation in the PLA matrix is a result of increasing SCG concentrations. In the thermal properties, it was described that the cold crystallization temperature (Tcc) decreased as SCG was added to PLA. When SCG was incorporated to PLA, the degradation onset temperature (Tonset) revealed a diminish. The elastic modulus increased while tensile strength of PLA diminished as SCG was applied. Through hydrolysis analysis, the decomposition of PLA was accelerated with the addition of SCG. This research confirmed the possibility of devloping an eco-friendly packaging material with high degradability as SCG hasten the breakdown of PLA.