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Finite strain analysis of crack tip fields in Yeoh-model-based rubber-like materials which are loaded in plane stress Zhi-yu Wang 1, a 1 Department of mechanic,College of science ,Naval University of Engineering, Wuhan 430033,China alovezhiyu3797333@163.com Keywords: Asymptotic analysis,Yeoh-model,Rubber,Fractrure mechanics.
The dominant asymptotic stress feild near the tip of a Mode-I crack of Yeoh-model-based rubber-like materials is determined.
Introduction In ananlysis of fracture mechanics of rubber-like materials, the stress and deformation fields of crack tip are needed.
,Shield,T.Large plane deformations of the in elastic sheets of neo-Hookean materials.ZAMP,vol.20(1969),p.176–199
Journal of the Mechanics and Physics of Solids.vol.59(2011),p.672-695

Ni: Journal of Magnetism and Magnetic Materials, Vol. 321(2009), p. 1867
Shen: International Journal of Engineering Science, Vol. 40(2002), p. 1069
Ding: International Journal of Engineering Science, Vol. 42(2004), p. 1361
Zheng: Journal of Zhejiang University SCIENCE, Vol. 6A(2005), p. 922
Shen: International Journal of Engineering Science, Vol. 41(2003), p. 85

Herrmann, Microlevel manufacturing process simulation of carbon fiber/epoxy composites to analyze the effect of chemical and thermal induced residual stresses, Journal of Composite Materials Volume 46 Issue 17, August 2012 [6] C.
Meiners, Cure-dependent thermo-chemical modelling and analysis of the manufacturing process of an aircraft composite frame, Journal of Composite Materials, published online before print March 25, 2014, doi, 10.1177/00219983145277777 [8] C.
Herrmann, Effects of fabric-based unbalances on process-induced distortions of composite materials, Journal of Composite Materials 0021998314533365, first published on May 16, 2014 doi:10.1177/002199831453336 [9] C.
Herrmann Cure-dependent thermomechanical modelling of the stress relaxation behaviour of composite materials during, Journal of Composite Materials, first published July 2016, DOI: 10.1177/0021998316656924 [10] Kamal et al., Polymer Engineering and Science, 1973 Vol. 13, 59-64 [11] Lee et al., Polymer Engineering and Science, 1992 Vol. 32 (15), 1037-1046 [12] Lee et al., J.
Composite Materials, 1982 Vol. 16, 510-520 [13] Zocher et al., Int.

Aerogel materials are usually made of silicon, carbon, and metal oxides as raw materials [5-6].
Journal of Colloid and Interface Science. 646 (2023) 970-979
Current Opinion in Solid State and Materials Science. 25 (2021) 100936
Journal of Sol-Gel Science and Technology. 105 (2023) 324-336
Materials. 16 (2023) 6566

Terentjev, Fatigue of Metallic Materials, Nauka, Moskva, 2002.
Schijve, Fatigue of Structures and materials in the 20th century and the state of the art, International Journal of Fatigue 25 (2003) 679-702
Verreman, Fatigue strength improvement of a 4140 steel by gas nitriding: influence of notch severity, Materials Science and Engineering A 435 (2006) 460-467
Pokluda, Quantitative fractography in bending-torsion fatigue, Materials Science and Engineering A 462 (2007) 359-467
Kvedaras, Increasing of carbon steel durability by surface hardening, Materials Science (Medziagotyra) 16 (2010) 24-28

This paper presents a new method to study the impact factor of an old bridge strengthened with high strength materials based on the model updating technique.
These damaged bridges were repaired recently using high strength materials, such as carbon fibre reinforced polymers (CFRP) and steel.
The department of transportation repaired the bridge using pre-stressed CFRP and steel materials (Fig.4).
Based on the origin design and inspection reports of the bridge, the repair method is that the CFRP materials were used to repair the floor of the box beam, the steel materials were used to repair the web of the box beam, and the repaired construction was done in 2001.
Construction and building materials; 2011, 25:1270-1276

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Methodology Raw Materials The main raw materials used in this research were polypropylene that acts as matrix material and wood flour as the reinforcement filler.
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Samples calcined at below 1100°C still containing their raw materials such as BaCO3, ZnO and Ta2O5.
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