Categories of size effects

Vollertsen F (2003) Size effects in manufacturing. In: Vollertsen F, Hollmann F (eds) BIAS-Verlag, ISBN 3-933762-14-6, Strahltechnik vol 24:1–9

Vollertsen F, Yuan S (eds) (2007) Proc. 2nd conf. on new forming technologies (2nd ICNFT) BIAS Bremen

Pawelski O (1964) Beitrag zur Ähnlichkeitstheorie der Umformtechnik. Arch Eisenhuttenwesen 35(1):27–36

Pawelski O (1992) Ways and limits of the theory of similarity in application to problems of physics and metal forming. J Mater Process Technol 34:19–30. doi: 10.1016/0924-0136(92)90086-8

Kopp R, Wiegels H (1998) Einführung in die Umformtechnik, Augustinus Buchhandlung Aachen

Vollertsen F, Walther R (2008) Energy balance in laser-based free form heading. Ann CIRP 57(1):291–294

Kals R, Pucher HJ, Vollertsen F (1995) Effects of specimen size and geometry in metal forming. Proc. of the 2nd int. conf. on advances in materials and processing technologies. In: Hashmi MSJ (ed) Dublin vol 3:1288–1297

Armstrong RW (1961) On size effect in polycrystal plasticity. J Mech Phys Solids 9:196–199. doi: 10.1016/0022-5096(61)90018-7

Justinger H, Hirt G (2007) Analysis of size-effects in the miniaturized deep drawing process. Key Eng Mater 344:791–798

Van Brussel H, Peirs J, Reynaerts D, Delchambre A, Reinhart G, Roth N et al (2000) Assembly of microsystems. Ann CIRP 49(2):451–472

Kast D (1969) Modellgesetzmäßigkeiten beim Rückwärtsfließpressen geometrisch ähnlicher Näpfe. PhD-thesis, Giradet Essen

Geiger M, Engel U, Vollertsen F, Kals R, Messner A (1994) Metal forming of micro parts for electronics. Prod Eng 2(1):15–18

Kals R, Vollertsen F, Geiger M (1996) Scaling effects in sheet metal forming. In: Kals HJJ, Shirvani B, Singh UP, Geiger M (eds) Sheet metal. University of Twente, Enschede II:65–75

Peng L, Liu F, Ni J, Lai X (2007) Size effects in thin sheet metal forming and its elastic–plastic constitutive model. Mater Des 28(5):1731–1736

Fleck NA, Hutchinson JW (1997) Strain gradient plasticity. Adv Appl Mech 33:295–361

Fleck NA, Hutchinson JW (2001) A reformulation of strain gradient plasticity. J Mech Phys Solids 49:2245–2271. doi: 10.1016/S0022-5096(01)00049-7

Xiang Y, Vlassak JJ (2006) Bauschinger and size effects in thin-film plasticity. Acta Mater 54(20):5449–5460. doi: 10.1016/j.actamat.2006.06.059

Brenner SS (1956) Tensile strength of whiskers. J Appl Phys 27(12):1484–1491. doi: 10.1063/1.1722294

Greer JR, Oliver WC, Nix WD (2005) Size dependence of mechanical properties of gold at the micron scale in the absence of strain gradients. Acta Mater 53(6):1821–1830. doi: 10.1016/j.actamat.2004.12.031

Tiesler N, Engel U, Geiger M (1999) Forming of microparts-effects of miniaturization on friction. Adv Technol Plast 2:889–894

Tiesler N (2002) Microforming-size effects in friction and their influence on extrusion processes. Wire 52:34–38

Engel U, Eckstein R (2002) Microforming—from basic research to its realization. J Mater Process Technol 125/126(9):35–44. doi: 10.1016/S0924-0136(02)00415-6

Engel U (2004) Tribology in microforming. 2nd int. conf. on tribology in manufacturing processes 549–559

Shaw MC (2003) The size effects in metal cutting. Sadhana 28(5):875–896. doi: 10.1007/BF02703319

Bull SJ (2003) On the origins and mechanisms of the indentation size effects. Z Metallk 94:787–792

Janssen PJM, de Keijser TH, Geers MGD (2006) An experimental assessment of grain size effects in the uniaxial straining of thin Al sheet with a few grains across the thickness. Mater Sci Eng A 419(1/2):238–248. doi: 10.1016/j.msea.2005.12.029

Janssen PJM (2007) First-order size effects in the mechanics of miniaturised components. Ph.D. thesis Eindhoven University of Technology

Raulea LV, Govaert LE, Baaijens FPT (1999) Grain and specimen size effects in processing metal sheets. Adv Technol Plast 2:939–944

Raulea LV, Goijaets AM, Govaert LE, Baaijens FPT (1999) Size effects in the processing of thin metal sheets. Proc SheMet 99:521–528

Gau JT, Principe C, Wang J (2007) An experimental study on size effects on flow stress and formability of aluminium and brass for microforming. J Mater Process Technol 184(1–3):42–46. doi: 10.1016/j.jmatprotec.2006.11.003

Lorenzo RD, Beccari S, Micari F (2003) An experimental investigation on micro sheet forming. Proc of the 1st Int CIRP Seminar on Micro and Nano Technology, Copenhagen:73–76

Nix WD, Gao H (1998) Indentation size effects in crystalline materials: a law for strain gradient plasticity. J Mech Phys Solids 46(3):411–425. doi: 10.1016/S0022-5096(97)00086-0

Ashby MF (1970) The deformation of plastically non-homogeneous materials. Philos Mag 21:399–424. doi: 10.1080/14786437008238426

Bazant ZP, Guo Z (2002) Size effect and asymptotic matching approximations in strain gradient theories of micro-scale plasticity. Int J Solids Struct 39:5633–5657. doi: 10.1016/S0020-7683(02)00368-2

Manika I, Maniks J (2006) Size effects in micro- and nanoscale indentation. Acta Mater 54(8):2049–2056. doi: 10.1016/j.actamat.2005.12.031

Zhao M, Slaughter WS, Li M, Mao SX (2003) Material-length-scale-controlled nanoindentation size effects due to strain gradient plasticity. Acta Mater 51:4461–4469. doi: 10.1016/S1359-6454(03)00281-7

Fredriksson P, Gudmundson P (2005) Size dependent yield strength of thin films. Int J Plast 21(9):1834–1854. doi: 10.1016/j.ijplas.2004.09.005

Tymiak NI, Kramer DE, Bahr DF, Wyrobek TJ, Gerberich WW (2001) Plastic strain and strain gradients at very small indentation depths. Acta Mater 49:1021–1034. doi: 10.1016/S1359-6454(00)00378-5

Stölken JS, Evans AG (1998) A microbend test method for measuring the plasticity length scale. Acta Mater 46:5109–5115. doi: 10.1016/S1359-6454(98)00153-0

Carrillo JG, Cantwell WJ (2007) Scaling effects in the tensile behaviour of fiber-metal laminates. Compos Sci Technol 67:1684–1693. doi: 10.1016/j.compscitech.2006.06.018

Herzig N, Meyer LW (2006) Material characterisation at high strain rates with special emphasis on miniaturization and size dependencies. Proc Int Conf on high speed forming (2nd ICHSF) In: M. Kleiner, E. Tekkaya, Dortmund (eds) ISBN 3-00-018432-5:13–22

Krüger L, Meyer LW, Halle T, Herzig N (2004) Size effects on flow stress behaviour of tool steel 40CrMnMo7 at high loading rates. Proc 6th Mesomechanics, Patras/Greece:420–425

Davidenkov N, Shevandin E, Wittmann F (1947) The influence of size on the brittle strength of steel. J Appl Mech:A63–A67

Zhou J, Shan DB, Guo B, Ma DL (2007) Experimental study on specimen and grain size effects in uniaxial tension test of aluminium foil. Key Eng Mater 344:777–782

Hoffmann H, Hong S (2006) Tensile test of very thin sheet metal and determination of flow stress considering the scaling effect. Ann CIRP 55(1):263–266

Miyazaki S, Fujita H, Hiraoka H (1979) Effect of specimen size on the flow stress of rod specismens of polykristalline Cu–Al alloy. Scr Metab 13(6):447–449. doi: 10.1016/0036-9748(79)90067-X

van Putten K, Franzke M, Hirt G (2007) Size effect on friction and yielding in wire flat rolling. Proc of the 2nd Int. Conf. on new forming technology. In: Vollertsen F, Yuan S. (eds) BIAS Bremen:583–592

Geiger M, Messner A, Engel U, Kals R, Vollertsen F (1995) Design of micro-forming processes: fundamentals, material data and friction behaviour. Int Cold Forg Congress 9:155–164

Tsai MC, Chen YA, Wu CF, Chen FK (2005) Size-effects in micro-metal sheet forming of unalloyed copper and brass. Adv Mater Res 6–8:705–710

Hong S, Hoffmann H (2003) Study of scaling effects on mechanical properties for milli-forming of sheet metal—tensile test of a very thin sheet. In: Vollertsen F, Hollmann F (eds) Process scaling, BIAS Bremen ISBN 3-933762-14-6:145–151