使用电子万能材料试验机对炭黑填充的橡胶材料进行单轴循环加载,对稳定后的应力-应变曲线进行数值拟合。对加载段的应力-应变曲线采用Marlow,Arruda Boyce,Van der Waals和Yeoh等超弹性本构模型进行描述,对卸载段的应力-应变曲线采用Mul...使用电子万能材料试验机对炭黑填充的橡胶材料进行单轴循环加载,对稳定后的应力-应变曲线进行数值拟合。对加载段的应力-应变曲线采用Marlow,Arruda Boyce,Van der Waals和Yeoh等超弹性本构模型进行描述,对卸载段的应力-应变曲线采用Mullins模型,即应力软化模型进行描述,对永久变形行为采用塑性变形模型进行描述,并使用反分析方法确定Mullins方程的参数。结果表明,Marlow超弹性模型对加载段的应力-应变曲线拟合效果最好,Mullins模型可较好地描述大应变时卸载段的应力-应变曲线,但无法拟合出材料的永久变形行为;将Marlow超弹性本构模型、Mullins模型以及塑性变形理论相结合,可以精确地描述橡胶材料的循环加载与卸载条件下的应力应变行为。展开更多
In this paper, we discuss the rational maps Fλ（z）=z^n＋λ/z^n,n≥2with the positive real parameter ）λ. It is shown that the immediately attracting basin Bλ of ∞ for Fλ is always a Jordan domain if the Julia se...In this paper, we discuss the rational maps Fλ（z）=z^n＋λ/z^n,n≥2with the positive real parameter ）λ. It is shown that the immediately attracting basin Bλ of ∞ for Fλ is always a Jordan domain if the Julia set of Fλ is not a Cantor set. Fuhermore, Bλ is a quasidisk if there is no parabolic fixed point on the boundary of Bλ. It is also shown that if the Julia set of Fλ is connected, then it is locally connected and all Fatou components are Jordan domains. Finally, a complete description to the problem when the Julia set is a Sierpirlski curve is given.展开更多
Level Set methods are robust and efficient numerical tools for resolving curve evolution in image segmentation. This paper proposes a new image segmentation algorithm based on Mumford-Shah module. The method is used t...Level Set methods are robust and efficient numerical tools for resolving curve evolution in image segmentation. This paper proposes a new image segmentation algorithm based on Mumford-Shah module. The method is used to CT images and the experiment results demonstrate its efficiency and veracity.展开更多
Using a strong version of the Curve Selection Lemma for real semianalytic sets, we prove that for an arbitrary connected Lie group G, each connected component of the set E_n(G)of all elements of order n in G is a conj...Using a strong version of the Curve Selection Lemma for real semianalytic sets, we prove that for an arbitrary connected Lie group G, each connected component of the set E_n(G)of all elements of order n in G is a conjugacy class in G. In particular, all conjugacy classes of finite order in G are closed. Some properties of connected components of E_n(G) are also given.展开更多
In this paper, we study the dynamics of the family of rational maps fλ,（z） = zn - λ/zm, n ≥2, m ≥ 1,λ ∈ C. We construct an example of buried Sierpinski curve Julia set in this family. We also give an estimate ...In this paper, we study the dynamics of the family of rational maps fλ,（z） = zn - λ/zm, n ≥2, m ≥ 1,λ ∈ C. We construct an example of buried Sierpinski curve Julia set in this family. We also give an estimate of the location of bifurcation locus of fλ.展开更多
The requirement of the flexible and effective implementation of the Elliptic Curve Cryptography (ECC) has become more and more exigent since its dominant position in the public-key cryptography application.Based on an...The requirement of the flexible and effective implementation of the Elliptic Curve Cryptography (ECC) has become more and more exigent since its dominant position in the public-key cryptography application.Based on analyzing the basic structure features of Elliptic Curve Cryptography (ECC) algorithms,the parallel schedule algorithm of point addition and doubling is presented.And based on parallel schedule algorithm,the Application Specific Instruction-Set Co-Processor of ECC that adopting VLIW architecture is also proposed in this paper.The coprocessor for ECC is implemented and validated using Altera’s FPGA.The experimental result shows that our proposed coprocessor has advantage in high performance and flexibility.展开更多
文摘使用电子万能材料试验机对炭黑填充的橡胶材料进行单轴循环加载,对稳定后的应力-应变曲线进行数值拟合。对加载段的应力-应变曲线采用Marlow,Arruda Boyce,Van der Waals和Yeoh等超弹性本构模型进行描述,对卸载段的应力-应变曲线采用Mullins模型,即应力软化模型进行描述,对永久变形行为采用塑性变形模型进行描述,并使用反分析方法确定Mullins方程的参数。结果表明,Marlow超弹性模型对加载段的应力-应变曲线拟合效果最好,Mullins模型可较好地描述大应变时卸载段的应力-应变曲线,但无法拟合出材料的永久变形行为;将Marlow超弹性本构模型、Mullins模型以及塑性变形理论相结合,可以精确地描述橡胶材料的循环加载与卸载条件下的应力应变行为。
基金Supported by National Natural Science Foundation of China (Grant Nos. 10831004, 10871047)Science and Technology Commission of Shanghai Municipality (NSF Grant 10ZR1403700)
文摘In this paper, we discuss the rational maps Fλ（z）=z^n＋λ/z^n,n≥2with the positive real parameter ）λ. It is shown that the immediately attracting basin Bλ of ∞ for Fλ is always a Jordan domain if the Julia set of Fλ is not a Cantor set. Fuhermore, Bλ is a quasidisk if there is no parabolic fixed point on the boundary of Bλ. It is also shown that if the Julia set of Fλ is connected, then it is locally connected and all Fatou components are Jordan domains. Finally, a complete description to the problem when the Julia set is a Sierpirlski curve is given.
文摘Level Set methods are robust and efficient numerical tools for resolving curve evolution in image segmentation. This paper proposes a new image segmentation algorithm based on Mumford-Shah module. The method is used to CT images and the experiment results demonstrate its efficiency and veracity.
基金the 973 Project Foundation of China (Grant No. TG1999075102)
文摘Using a strong version of the Curve Selection Lemma for real semianalytic sets, we prove that for an arbitrary connected Lie group G, each connected component of the set E_n(G)of all elements of order n in G is a conjugacy class in G. In particular, all conjugacy classes of finite order in G are closed. Some properties of connected components of E_n(G) are also given.
基金Supported by National Natural Science Foundation of China (Grant No. 10125103)the NBRP of China
文摘In this paper, we study the dynamics of the family of rational maps fλ,（z） = zn - λ/zm, n ≥2, m ≥ 1,λ ∈ C. We construct an example of buried Sierpinski curve Julia set in this family. We also give an estimate of the location of bifurcation locus of fλ.
基金supported by the national high technology research and development 863 program of China.(2008AA01Z103)
文摘The requirement of the flexible and effective implementation of the Elliptic Curve Cryptography (ECC) has become more and more exigent since its dominant position in the public-key cryptography application.Based on analyzing the basic structure features of Elliptic Curve Cryptography (ECC) algorithms,the parallel schedule algorithm of point addition and doubling is presented.And based on parallel schedule algorithm,the Application Specific Instruction-Set Co-Processor of ECC that adopting VLIW architecture is also proposed in this paper.The coprocessor for ECC is implemented and validated using Altera’s FPGA.The experimental result shows that our proposed coprocessor has advantage in high performance and flexibility.
