Case Study – Ground Failures and Ruptures in Xian City

Xian city, the most well known ancient city of China for her incredible Terra Cotta Warriers and so forth, has been suffered from ground fracture for years. Surface ruptures and faultings encountered in strips all over the city. Hundreds of buildings were severely destroyed and many of them even have been demolished. Ground failures wide-spread and enlarged from time to time, especially right from Tangshan earthquake of July 28, 1976. Therefore serious concerns and suspicious of being associated with major earthquakes have arosed. Thus it has been a problem of both engineering and social influence. Like many other cities in China and even in the world such as Houston, Texas, USA, surface faulting or surface rupture often caused many guess-works and arguments among different engineers, geologists and seismologists. In turn, many projects either underway or co be undertaken will be seriously lagged out due to discrepancies of different assessment and measures of mitigation. The authors have been deeply involved in surface faulting and ruptures as a background for exploring the mechanism and predicting its possible effects from the engineering point of view. In this paper, the authors introduce their systematic ease study on Xian ground failures towards this end, including site investigations, typical damages assessment, numerical analysis on fracture mechanism, model tests in laboratory and comprehensive evaluations etc. Conclusions were drawn not only for this particular ancient city but also provided a referential real ease for the like in the world

Classification of Quiver Hopf Algebras and Pointed Hopf Algebras of Type One

The quiver Hopf algebras are classified by means of ramification systems with irreducible representations. This leads to the classification of Nichols algebras over group algebras and pointed Hopf algebras of type one.Comment: 19 pages; To appear in Bulletin of the Australian Mathematical Societ

Boundary two-parameter eight-state supersymmetric fermion model and Bethe ansatz solution

The recently introduced two-parameter eight-state $U_q[gl(3|1)]$ supersymmetric fermion model is extended to include boundary terms. Nine classes of boundary conditions are constructed, all of which are shown to be integrable via the graded boundary quantum inverse scattering method. The boundary systems are solved by using the coordinate Bethe ansatz and the Bethe ansatz equations are given for all nine cases.Comment: 11 pages, RevTex; some typos correcte