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国家自然科学基金资助项目,nos.31230027,11372332;; 国家重点基础研究发展计划项目,no.2011cb710904;; 中国科学院科研装备项目,no.y2010030(3)
国家自然科学基金资助项目,nos.31110103918,31230027,31470907;; 国家重点基础研究发展计划,no.2011cb710904;; 中国科学院先导专项,no.xda01030604;; 国家高技术研究发展计划,no.2011aa020109(2)
dr. yu would like to thank the alexander von humboldt foundation with no. 1136169 and the opening fund of state key laboratory of nonlinearmechanics for financial support. the authors also would like to thank the joint supports of the national natural science foundation of china with nos. 11372299 and 11132008.(1)
financial support from the national natural science foundation of china (grant nos. 51309213, 51179124 and 50979070) is gratefully acknowledged. the first author would also like to thank professor t. li in beijing jiaotong university of china for his generous help with this research.(1)
financial support is from the nsfc (grant nos. 11372315, 11472287, 11132011, and 11023001) and the national basic research program of china (grant no. 2012cb937500). m.q.j. acknowledges the alexander von humboldt foundation for support with a research fellowship. l.h.d. acknowledges the cas/safea international partnership program for creative research teams.(1)
project supported by the national natural science foundation of china (nos. 11372232 and 51479007), the specialized research fund for the doctoral program of higher education (no. 20130141110016), and the state water pollution control and management of major special science and technology (no. 2012zx07205-005-03)(1)
support from the national basic research program of china (grant no. 2012cb937500), the national natural science foundation of china (grant nos. 11202212, 11172305, 11172024, 11232013 and 11372022), is gratefully acknowledged. computations were performed on the scgrid of supercomputing center, computer network information center of chinese academy of sciences and lnmgrid of the state key laboratory of nonlinear mechanics.(1)
the authors acknowledge financial support from hankook tire company and nasa under contract nnx13a74a in conducting this research. also, the authors would like to thank dr. jan terziyski of hankook tire company for several helpful discussions during the course of this research.(1)
the authors are grateful to the financial support from the national natural science foundation of china (nos. 91216301, 11232008, 11072033, and 11372037), the program for new century excellent talents in university (ncet-12-0036), and the natural science foundation of beijing (grant no. 3122027).(1)
the authors gratefully acknowledge that the work described here is financially supported by the special development of national key scientific instruments in china (2011yq120048-02).(1)
the authors would like to acknowledge support from the national basic research program of the ministry of science and technology of china (grant no. 2010cb731506), the national key technology research and development program of the ministry of science and technology of china (grant no. 2012bak10b01), the strategic priority research program (b) of chinese academy of sciences (grant no. xdb10030303) and the youth science fund of the national natural science foundation of china (grant no. 11302230).(1)
the authors would like to express their gratitude for the financial support of the national natural science foundation of china (grant nos. 11072246, 51490673, 10702073), and the national basic research program of china (973 program 2014cb046801).(1)
the authors would like to thank the national natural science foundation of china, for financially supporting this research under contracts 11332002 and 11372265.(1)
the financial support from the national natural science foundation of china (nsfc) under grant nos. 51171138, 11372315 and 51321003 are gratefully acknowledged. the work was supported by ph.d. programs foundation of ministry of education of china (20110201110002).(1)
the financial supports by the national basic research program of china (2012cb937500) and by the national natural science foundation of china (11202210, 11172304 and 11021262) are gratefully appreciated.(1)
the research has been supported by the national natural science foundation of china (nsfc nos. 11023001 and 11372321).(1)
the research is funded by natural science foundation of china (grant nos. 10932012 and 10972164).(1)
the research is supported by the national natural science foundation of china nsfc nos. 11372333 and 51376165; and the natural sciences and engineering research council of canada (nserc).(1)
the work is supported by the national natural science foundation of china (grant nos. 11132011, 11402278, 11372315 and 11202221), the national basic research program of china (grant no. 2012cb937500) and the cas/safea international partnership program for creative research teams.(1)
the work is supported by the national natural science foundation of china (grant nos. 11472287, 11132011 and 11202221), the national basic research program of china (grant no. 2012cb937500), and the cas/safea international partnership program for creative research teams.(1)
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