应用数学和力学

2007 Vol. 28, No. 9

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Analysis of Delamination Growth for Composite Laminated Cylindrical Shells Under External Pressure

FU Yi-ming, YANG Jin-hua

2007, 28(9): 1009-1020.

Abstract(3055) PDF(690)

Abstract:
The delamination growth may occur in delaminated cylindrical shells under external pressure. This will cause structure failure. By using the variational principle of moving boundary and considering the contact effect between delamination regions, the delamination growth was investigated for cylindri...

Coupled Viscoplasticity Damage Constitutive Model for Concrete Materials

LIU Chang-chun, LÜ He-xiang, GUAN Ping

2007, 28(9): 1021-1027.

Abstract(3119) PDF(894)

Abstract:
Coupled viscoplasticity damage constitutive model for concrete materials is developed within the framework of irreversible thermodynamics, and simultaneously the Helmholtz free energy function and a non-associated flow potential function are given, which include the internal variables of kinematic h...

Reflection and Transmission of Regular Waves at a Surface-Pitching Slotted Barrier

HUANG Zhen-hua, LIU Chun-rong

2007, 28(9): 1028-1036.

Abstract(2642) PDF(749)

Abstract:
The interactions between regular surface waves and a surface-pitching slotted barrier are investigated both analytically and experimentally. A quas-i linear theory was developed using the eigenfunction expansion method. The energy dissipation within the barriers was modeled by a quadratic friction f...

Combined Adaptive Meshing Technique and Characteristic Based Split Algorithm for Viscous Incompressible Flow Analysis

Suthee Traivivatana, Parinya Boonmarlet, Patcharee Theeraek, Sutthisak Phongthanapanich, Pramote Dechaumphai

2007, 28(9): 1037-1046.

Abstract(2946) PDF(618)

Abstract:
A combined chara cteristic-based splitalgorithm and anada ptive meshing technique foranalyzing two-dimensional viscous incompressible flow is presented. The method uses the three-node triangular element with equal-order interpolation functions forall variables of the velocity components and pressure...

Solution and Its Application of Transient Stream/Groundwater Model Subjected to Time-Dependent Vertical Seepage

TAO Yue-zan, YAO Mei, ZHANG Bing-feng

2007, 28(9): 1047-1053.

Abstract(2723) PDF(776)

Abstract:
Based on the first linearized Boussinesq equation, analytical solution of the transient groundwater model, which is used for describing phreatic flow in a semi-infinite aquifer bounded by a linear stream and subjected to time-dependent vertical seepage, is derived out by Laplace transform and the co...

Multi-Symplectic Methods for Membrane Free Vibration Equation

HU Wei-peng, DENG Zi-chen, LI Wen-cheng

2007, 28(9): 1054-1062.

Abstract(2769) PDF(716)

Abstract:
The multi-symplectic formulations of the membrane free vibration equation with periodic boundary conditions in Hamilton space were considered. The complex method was introduced and a semi-implicit twenty-seven-point scheme with certain discrete conservation lawsa multi-symplectic conservation law (C...

Two Dimensional Non-Selfsimilar Initial Value Problem for Adhesion Particle Dynamics

SUN Wen-hua, SHENG Wan-cheng

2007, 28(9): 1063-1070.

Abstract(2875) PDF(632)

Abstract:
Two dimensional non-selfsimilar initial value problem for adhesion particle dynamics with two pieces constant states separated by a circular is considered. By using the generalized characteristic method and the generalized Rankine-Hugoniot relation which is a system of ordinary equations, unique sol...

Vertical Vibrations of Elastic Foundation Resting on Saturated Half-Space

WANG Guo-cai, WANG Zhe, MENG Fan-li

2007, 28(9): 1071-1078.

Abstract(2924) PDF(741)

Abstract:
The dynamic response of an elastic foundation of finite height bonded to the surface of a saturated halfspace is mainly concerned with. The foundation is subjected to time-harmonic vertical loadings. First, the transform solutions for the governing equations of the saturated media were obtained. The...

Wave Equations With Several Nonlinear Source Terms

LIU Ya-cheng, XU Run-zhang, YU Tao

2007, 28(9): 1079-1086.

Abstract(3294) PDF(867)

Abstract:
The initial boundary value problem of nonlinear wave equations with several nonlinear source terms in a bounded domain is studied by potential well method. The structure of potential wells and some properties of depth function of potential well are given. The invariance of some sets under the flow o...

Solvability of 2n-Order m-Point Boundary Value Problem at Resonance

JIANG Wei-hua, GUO Yan-ping, QIU Ji-qing

2007, 28(9): 1087-1094.

Abstract(2757) PDF(758)

Abstract:
The higher order multiple point boundary value problem at resonance is studied. Firstly, a Fredholm operator L with index zero and a projector operator P are defined in the subset of X and in X, respectively, such that L is invertible in the intersection of the domain of L and the kernel of P, where...

Propagation of Slip Pulse Along a Frictionless Contact Interface With Local Separation Between Two Piezoelectric Solids

BAI Yu-zhu, WANG Yue-sheng, YU Gui-lan

2007, 28(9): 1095-1101.

Abstract(3006) PDF(716)

Abstract:
The Stroh formalism of piezoelectric materials, Fourier analysis and singular integral equation technique were used to investigate the existence of a pulse at the frictionless interface in presence of local separation between two contact piezoelectric solids. The two solids were pressed together by ...

Bifurcation and Patterns Formation in a Coupled Higher Autocatalator Reaction Diffusion System

ZHANG Li, LIU Sang-yang

2007, 28(9): 1102-1114.

Abstract(2615) PDF(771)

Abstract:
Spatiotemporal structures arising in two identical cells, which are governed by higher autocatalator kinetics and coupled via diffusive interchange of autocatalyst, are discussed. The stability of the unique homogeneous steady state is obtained by the linearized theory. A necessary condition for bif...

Basis-Free Expressions for the Derivatives of a Subclass of Nonsymmetric Isotropic Tensor Functions

WANG Zhi-qiao, DUI Guan-suo

2007, 28(9): 1115-1122.

Abstract(2929) PDF(978)

Abstract:
The method for solving the derivatives of symmetric isotropic tensor-valued functions proposed by Dui and Chen was generalized to a sub-class of nonsymmetric tensor functions satisfying the commutative condition. This subclass of tensor functions is more general than those investigated by the existi...

Global Dynamics Behaviors for a New Delay SEIR Epidemic Disease Model With Vertical Transmission and Pulse Vaccination

MENG Xin-zhu, CHEN Lan-sun, SONG Zhi-tao

2007, 28(9): 1123-1134.

Abstract(2861) PDF(1543)

Abstract:
A robust SEIR epidemic disease model with a profitless delay and vertical transmission was formulated, and the dynamics behaviors of the model under pulse vaccination were analyzed. By use of the discrete dynamical system determined by the stroboscopic map, an infection-free. periodic solution was o...