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Since the constraint of surrounding materials around spot position makes the heating area produce negative strain.
Journal of Materials Processing Technology, 151 (2004), p. 70 [3] Jeong H, Hata S.
Journal of materials processing technology, 108 (2001) , p. 376 [5] N.
Laser fabrication and machining of materials, Chapter 8: Laser forming( 2008), p. 291 [6] J.
China Materials Engineering Canon (4), Non-Ferrous Materials Engineering (on), Chemical Industry Press, Bei Jin (2005)

The formulation is limited to linear-elastic materials but subject to be extended to elastic-plastic materials.
Journal of the Mechanics and Physics of Solids, 46(8):1319– 1342, August 1998
Journal of Elasticity, 91(1-3):5–148, April 2008
Computational Ma- terials Science, 96:472–484, January 2015
Metallurgical and Materials Transactions A, 42(2):365–372, June 2011.

China 2College of Materials Science and Engineering, Tongji University, Shanghai 100092, P.R.
Nanoscaled materials have more important applications in many fields than bulk materials because of the nanomaterials，unique properties.
Hong, et al: Materials Letters Vol. 59 (2005), p. 319 [12] X.H.
Jia , et al: Materials Letters Vol. 64 (2010), p. 493 [16] H.M.
Das, et al: Materials Letters Vol. 60(2006), p. 2582 [18] J.

Materials.
Advanced Materials. 26 (2014) 4961-4966
Journal of Polymer Science Part A: Polymer Chemistry. 42( 2004) 624-638
Materials Today. 16 (2013) 496-504
Journal of Biomedical Materials Research Part A. 101A (2013) 1103-1112

Supported by National Nature Science Foundation of P.R.China(59889101) Research on inner cracks healing of metal materials plays an important role in constituting the recovery theory of materials.
In situ, real-time and dynamic observation of inner cracks healing of materials is an effective way to study mechanism of cracks healing.
[6] Shen Yifu, Zhou Benlian, He Guanhu, et al.: Chinese journal of material research， Vol.10 (1996), p.165 [7] Xiao Yongliang, Guo Yi, Yao Ge, et al.: Chinese journal of material research， Vol.10 (1996), p.271 [8] Wei Dongbin, Han Jingtao, Xie Jianxin, et al.: Materials Review，Vol.13 (1999), p.10 [9] B.
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Case: Journal of Material Science, Vol.34 (1999),p.388

The resulting properties of the two materials were compared with those of the specimens.
Reference [1] ASTM-D1566-00, American Society for Testing of Materials, in Standard Terminology Relating to Rubber, 2000
Bonfring International Journal of Industrial Engineering and Management Science. 2, 2 (2012) 10-13
Materials and Manufacturing Processes. 15, 5 (2000) 667-678
Journal of Manufacturing Science and Engineering. 126, 1 (2004) 115-123.

Experimental Program Materials: The locally available materials were used for this study.
Journal of Materials in Civil Engineering, ASCE, 12(4), 314-319
[3] Lee, B.I.; Burnett, L.; Miller, T.; Postage, B. and Cuneo, J.(1993) “Tyre rubber/cement matrix composites”, Journal of Materials Science,(12), 967-968
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To improve the durability of concrete, on the one hand, we should pay attention to the choice of materials, don’t use sea sand and use early strength agent with caution.
Ping: Popular Science, (2010) No.9, p.160.
Li: Journal of Liaoning Technical University (Natural Science Edition), Vol. 26 (2007) No.3, p.360-362.
Yang, etc.: Journal of Building Materials, Vol. 10 (2007) No.1, p.89-96.
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Experimental Materials. 1,6-hexamethylene diisocyanate (HDI, Alfa), isophorone diisocyanate (IPDI, Alfa), and dibutyltin dilaurate (DBTDL, Alfa).
Journal of Polymer Science (Part B) : Polymer Physics. 28(1990),p.1515-1532
Journal of Coatings Technology, 59(1987), p. 63—72
Journal of App lied Polymer Science, 64 (1997) , p. 2347～2354
Journal of Nanjing University(Natural Science Edition) ,36 (2000),p.523-528

Qi, Thermal and thermo-mechanical modeling of friction stir welding of aluminum alloy 6061-T6, Journal of Materials Processing and Manufacturing Science 7 (1998), 215–233
Simar, B. de Meester, The effect of hardening laws and thermal softening on modeling residual stresses in FSW of aluminum alloy 2024-T3, Journal of Materials Processing Technology 213 (2013) 477– 486 [9] Schmidt, H., Hattel, J., 2008.
Pardoen, Integrated modeling of friction stir welding of 6xxx series Al alloys: process, microstructure and properties, Progress in Materials Science 57 (2012), 95–183
Withers, Global mechanical tensioning for the management of residual stresses in welds, Materials Science and Engineering A A489 (2008), 351–362
Prime, Cross-sectional mapping of residual stresses by measuring the surface contour after a cut, Journal of Engineering Materials and Technology 123 (2001),162–168