Thermal Expansion of Solids


The work covers a novel approach to the description of the phenomenon of thermal expansion of solids. The reason for undertaking the scientific quest is presented to follow with the analysis of existing knowledge on the characteristics of phenomenon of thermal expansion of bodies being in the state of aggregation. A critical approach to the existing law of the linear thermal expansion is given. The paper presents an adequate approach to this considered phenomenon. The description provides parametric and functional characteristics of this phenomenon. The relationships of the coefficients of linear expansion on temperature for particular interstate zones, as well as the initial coefficients related to these zones, are presented. In the summary a synthesis of all actions and considerations with the directions to the adequate knowledge with advantage on the subjected phenomenon has been performed. It regards also to the latest thermal characteristics of solids, referred to the phase transformations. All they are realized by dilatometric studies together with determination of curves of thermal expansions of solids.

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Z. Pluta and T. Hryniewicz, "Thermal Expansion of Solids," Journal of Modern Physics, Vol. 3 No. 8, 2012, pp. 793-802. doi: 10.4236/jmp.2012.38104.

Conflicts of Interest

The authors declare no conflicts of interest.


[1] Z. Osiński, “Searching for the Truth in Mechanics (Pos- zukiwanie prawdy w mechanice),” Przegl?d Mechaniczny, Vol. 55, No. 16, 1996, pp. 11-14.
[2] Z. Kamiński, “Physics for the Candidates to Engineering College (Fizyka dla kandydatów na wy?sze uczelnie techniczne),” WNT, Warszawa, 1966.
[3] S. Okoniewski, “Technology of Metals (Technologia metali),” PWSZ, Warszawa, 1961.
[4] K. Wo?niak, “Abrasive Materials. Manufacture and Prop- erties (Materia?y ?cierne. Wytwarzanie i w?asno?ci),” WNT, Warszawa 1982.
[5] N. E. Filonenko and I. V. Lavrov, “Petrografia iskusst- vennych abrazivov,” Ma?giz, Leningrad, 1958.
[6] W. Luty, “Metal Science and the Heat Treatment of Bearing Steels (Metaloznawstwo i obróbka cieplna stali ?o?yskowych),” WNT, Warszawa, 1980.
[7] “Pod?ipniki ka?enija. Spravo?noe posobie,” Gosudarst- vennoe nau?no-Techni?eskoe Izd. Ma?. Moskva, 1961.
[8] W. Precht, J. Ignaciuk, C. Bieńkowski, Z. Kanigowski, J. Kwiatkowski and P. My?liński, “Analysis of Selected Methods of Transformations in the Tool Steels (Analiza wybranych metod przemian fazowych w stalach narz?d- ziowych),” Prace Instytutu In?ynierii Materia?owej, Wy?sza Szko?a In?ynierska w Koszalinie, Koszalin Vol. 2, No. 1, 1977, pp. 122-157.
[9] Z. Pluta, “Fundamentals of Surface Smoothing by Elastic Abrasive Wheels (Podstawy wyg?adzania powierzchni ?ciernicami elastycznymi),” Wydawnictwo Politechniki Koszalińskiej, Koszalin, 2007.
[10] Z. Pluta and T. Hryniewicz, “Advanced Model of the Tool Edge Blunting under Machining,” Int. J. Adv. Manuf. Technol, Vol. 51, No. 1-4, 2010, pp. 217-223. doi:10.1007/s00170-010-2595-5
[11] J. R. Bright and M. E. F. Schoeman, “Forecasting in Technology (Prognozowanie w technice),” WNT, War- szawa, 1978 (transl. from English).
[12] M. E. Merchant, “10 Years Ahead—What’s in It for Met- alworking,” American Machinist, 18, 1959, pp. 142-146.
[13] M. E. Merchant, “The Future of Manufacturing Technol- ogy. Frontiers in Manufacturing Technology,” University of Michigan, Ann Arbor, 1966, pp. 1-9.
[14] M. E. Merchant, “Progress and Problems in the Applica- tion of New Optimization Technology in Manufacturing,” CIRP Annals, Vol. 16, No. 2, 1968, pp. 151-161.
[15] Z. D?browski, “Non-Linear Vibrations—An Open Prob- lem (Drgania nieliniowe—Problem nadal otwarty),” Przegl?d Mechaniczny, Vol. 66, No. 11, 2007, pp. 15-18.
[16] E. Jezierski, “Transformers—Theoretical Foundations (Transformatory—podstawy teoretyczne),” WNT, Warszawa, 1956.
[17] G. Keinath,“Bimetalle,” Archiv für Technisches Messen. Vol. 4, T-55, T-57, 1936, (Z-972-1).
[18] W. Tryliński, “Fine Mechanisms and Precision Devices. Design Foundations (Drobne mechanizmy i przyrz?dy precyzyjne. Podstawy konstrukcji),” WNT, Warszawa, 1964.
[19] “Analyse de l’usure de l’outil pour le tournage de finition,” Machines Production, Vol. 19, No. 673, 1977, pp. 39-42.
[20] W. Y. H. Liew, B. K. A. Ngoi and Y. G. Lu, “Wear Characteristics of PCBN Tools in the Ultra-Precision Machining of Stainless Steel at Low Speeds,” Wear, Vol. 254, No. 3-4, 2003, pp. 265-277. doi:10.1016/S0043-1648(03)00002-4
[21] V. P. Astakhov, “The Assessment of Cutting Tool Wear,” International Journal of Machine Tools and Manufacture, Vol. 44, No. 6, 2004, pp. 637-647. doi:10.1016/j.ijmachtools.2003.11.006
[22] Y. Huang and S. Y. Liang, “Modeling of CBN Tool Flank Wear Progression in Finish Hard Turning,” Journal of Manufacturing Science and Engineering, Vol. 126, No. 1, 2004, pp. 98-106. doi:10.1115/1.1644543
[23] G. Galante, A. Lombardo and A. Passannanti, “Tool-Life Modeling as a Stochastic Process,” International Journal of Machine Tools and Manufacture, Vol. 38, No. 11-12, 1998, pp. 1361-1369. doi:10.1016/S0890-6955(98)00019-4
[24] L. ?zler, A. Inan and C. ?zel, “Theoretical and Experi- mental Determination of Tool Life in Hot Machining of Austenitic Manganese Steel,” International Journal of Machine Tools and Manufacture Vol. 41, No. 2, 2001, pp. 163-172. doi:10.1016/S0890-6955(00)00077-8
[25] T. Pe?czyński, “On the Strengthening Curves (O krzywych umocnienia),” Obróbka Plastyczna, Vol. 14, No. 1, 1975, pp. 22-26.
[26] Z. Marciniak, “Evaluation of Applicability of Materials in the Plastic Cold Working. Forming of Rods (Ocena przydatno?ci materia?ów wyj?ciowych w obróbce plasty- cznej na zimno. Kszta?towanie pr?tów),” Mechanik, Vol. 56, No. 4, 1983, pp. 189-207.
[27] J. C. Ramos, J. Vinolas and F. J. Nieto, “A Simplified Methodology to Determine the Cutting Stiffness and the Contact Stiffness in the Plunge Grinding Process,” International Journal of Machine Tools and Manufacture, Vol. 41, No. 1, 2001, pp. 33-49. doi:10.1016/S0890-6955(00)00062-6
[28] “Steifigkeit im Blickepunkt,” Maschine, Vol. 58, No. 6, 2004, pp. 58-59.
[29] H. Goldstein, C. Poole and J. Safko, “Classical Mechan- ics,” 3rd Edition, Addison-Wesley, Boston, 2002.
[30] J. R. Taylor, “Classical mechanics (Mechanika klasyczna),” Vol. 1, Wydawnictwo Naukowe PWN SA, Warszawa, 2006 (transl. from English).
[31] L. D. Landau and J. M. Lifszyc, “Theoretical Physics. Mechanics (Fizyka teoretyczna. Mechanika),” Wyd. Naukowe PWN S.A., Warszawa, 2006
[32] P. Ba?a, “The Kinetics of Phase Transformations during Tempering of Tool Steels with Different Carbon Con- tent,” Archives of Metallurgy and Materials, Vol. 54, No. 2, 2009, pp. 491-498.
[33] T. R. Finlayson and T. F. Smith, “Stress Effects on the Anisotropic Thermal Expansions of ‘Martensitic’ A15 Compounds,” Phase Transitions: A Multinational Journal, Vol. 69, No. 3, 1999, 409-424. doi:10.1080/01411599908209302
[34] C. Meingast, “High-Resolution Thermal Expansion of Solids: Recent Results on Superconducting YBa2Cu3Ox Single Crystals,” Netsu Sokutei, Vol. 33, No. 4, 2006, pp. 167-173.
[35] G. K. White, Y. Nakamura, M. Shiga and A. B. Kaiser, “Thermal Expansions in CrMn Alloys at Low Temperatures,” Journal of the Physical Society of Japan, Vol. 58, No. 2, 1989, pp. 3485-3488. doi:10.1143/JPSJ.58.3485

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