【摘 要】
：
We present an approximation result for Barenblatts cohesive fracture energies in the case of antiplane shear.The regularizing functionals are damage energies of Ambrosio–Tortorelli type and the approx
【机 构】
：
IAM,Univ.of Bonn Univ.of Florence
论文部分内容阅读
We present an approximation result for Barenblatts cohesive fracture energies in the case of antiplane shear.The regularizing functionals are damage energies of Ambrosio–Tortorelli type and the approximation is obtained in the sense of Gamma-convergence.We also discuss how the phase field convergence scheme can be applied to approximate different special fracture models,like Griffiths model,Dugdales model,and models with surface energy density having a power-law growth at small openings.
其他文献
Hydrophobic polypeptide hybrid block copolymers or “molecular chimeras” have drawn much attention due to their complex self-assembly and phase behavior making available a variety of nonclassical morph
Recently,low molecular weight organogelator capable of solidifying oil from oil-water mixture(phase-selective gelation [1])has become an important area of research due to their potential application i
以 4-氨基吡啶为原料合成了偶氮吡啶，并发现其能和 3-甲氧基苯甲酸在水溶剂中形成水凝胶.利用SEM、流变测试、1H NMR、FT-IR、XRD 等技术对该水凝胶进行了表征.SEM 结果表明，水凝胶成带状结构，带与带之间相互交叉、连接进而形成三维网状结构，阻止了水分子的宏观流动，最终形成水凝胶.流变学测试显示该凝胶体系弹性模量 G′比粘性模量 G″约高一个数量级，有着很好的机械性能，并且呈现出典型
阳离子型两亲分子作为 DNA 凝聚剂,可使空间舒展的线圈状 DNA 向紧密堆积的球状转变[1],便于 DNA复合物进入细胞内部进而成功实现基因表达,因此有望作为非病毒载体用于基因治疗中。结合本课题组的工作,系统地总结了阳离子型两亲分子与 DNA 的相互作用研究[2,3]。阳离子型咪唑 Gemini 表面活性剂是我们合成的一类新型两亲分子,荧光显微镜成像研究表明质粒 DNA 上的绿色荧光蛋白基因能够
本文设计、合成了基于邻菲罗啉衍生物,2-(4-羟乙氧基苯基)咪唑[4,5-f]-1,10-邻菲罗啉(HEPIP)为第二配体的新型铕配合物,且其结构用红外、紫外-可见、1H 核磁共振以及光致发光谱图以及元素分析进行了表征.虽然配体 HEPIP 中有高能振子 O-H的存在,配合物在乙醇溶液中显示了长的荧光寿命.铕配合物具有显著的锐线红光发射和大的受激发射截面(σp)(半高宽(FWHM)= 3.8 nm
Surgical simulators have a number of advantages over conventional training approaches.While a small number of companies are starting to offer surgical simulation training systems of varying quality,no
We study the effectiveness of punishing defectors in the evolution of cooperation in rational populations within the threshold public goods game models.We establish two scenarios: defectors will suffe
Topological structures and node dynamics of dynamical networks have important influence on their dynamical behaviors.In practical applications,not all of them can be well determined beforehand; theref
Stackelberg game with hierarchical and information structures has broad background and applications in practice.In this paper the repeated Stackelberg Public Goods game with 2 leaders and 1 follower w
The understanding and modeling of failure processes in solids is a central task in materials sciences.Mathematical models typically result in highly nonlinear,coupled systems of partial differential e