Table of Content

18 September 2007, Volume 28 Issue 9

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Articles

Delamination growth for composite laminated cylindrical shells under external pressure

FU Yi-ming;YANG Jin-hua

2007, 28(9):  1131-1144 .  doi:10.1007/s10483-007-0901-1

Abstract ( 1335 )   PDF (459KB) ( 650 )  

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The delamination growth may occur in delaminated cylindrical shells under external pressure. This will lead to failure of structure. By using the variational principle of moving boundary and considering the contact effect between delamination regions, in this work, the delamination growth was investigated for cylindrical shells under the action of external pressure. At the same time, according to the Griffith criterion, the formulas of energy release rate along the delamination front were obtained. In the numerical calculation, the delamination growth of axisymmetrical laminated cylindrical shells was analyzed, and the effects of delamination sizes and depths, the geometrical parameters, the material properties, and the laminate stacking sequences on delamination growth were discussed.

Coupled viscoplasticity damage constitutive model for concrete materials

LIU Chang-chun;Lü He-xiang;GUAN Ping

2007, 28(9):  1145-1152 .  doi:10.1007/s10483-007-0902-x

Abstract ( 1324 )   PDF (479KB) ( 452 )  

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A coupled viscoplasticity damage constitutive model for concrete materials is developed within the framework of irreversible thermodynamics. Simultaneously the Helmholtz free energy function and a non-associated flow potential function are given, which include the internal variables of kinematic hardening, isotropic hardening and damage. Results from the numerical simulation show that the model presented can describe the deformation properties of the concrete without the formal hypotheses of yield criterion and failure criteria, such as the volume dilatancy under the compression, strain-rate sensitivity, stiffness degradation and stress-softening behavior beyond the peak stress which are brought by damages and fractures. Moreover, we could benefit from the application of the finite element method based on this model under complex loading because of not having to choose different constitutive models based on the deformation level.

Reflection and transmission of regular waves at a surface-pitching slotted barrier

HUANG Zhen-hua

2007, 28(9):  1153-1162 .  doi:10.1007/s10483-007-0903-z

Abstract ( 1360 )   PDF (345KB) ( 943 )  

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Combined adaptive meshing technique and characteristic-based split algorithm for viscous incompressible flow analysis

Suthee Traivivatana;Parinya Boonmarlert;Patcharee Theeraek;Sutthisak Phongthanapanich;Pramote Dechaumphai

2007, 28(9):  1163-1172 .  doi:10.1007/s10483-007-0904-x

Abstract ( 1339 )   PDF (823KB) ( 483 )  

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A combined characteristic-based split algorithm and an adaptive meshing technique for analyzing two-dimensional viscous incompressible flow are presented. The method uses the three-node triangular element with equal-order interpolation functions for all variables of the velocity components and pressure. The main advantage of the combined method is that it improves the solution accuracy by coupling an error estimation procedure to an adaptive meshing technique that generates small elements in regions with a large change in solution gradients, and at the same time, larger elements in the other regions. The performance of the combined procedure is evaluated by analyzing one test case of the flow past a cylinder, for their transient and steady-state flow behaviors.

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):  1173-1180 .  doi:10.1007/s10483-007-0905-y

Abstract ( 1237 )   PDF (251KB) ( 543 )  

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Based on the first linearized Boussinesq equation, the 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 convolution integral. According to the mathematical characteristics of the solution, different methods for estimating aquifer parameters are constructed to satisfy different hydrological conditions. Then, the equation for estimating water exchange between stream and aquifer is proposed, and a recursion equation or estimating the intensity of phreatic evaporation is also proposed. A phreatic aquifer stream system located in Huaibei Plain, Anhui Province, China, is taken as an example to demonstrate the estimation process of the methods stated herein.

Multi-symplectic methods for membrane free vibration equation

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

2007, 28(9):  1181-1189 .  doi:10.1007/s10483-007-0906-z

Abstract ( 1253 )   PDF (316KB) ( 557 )  

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In this paper, the multi-symplectic formulations of the membrane free vibration equation with periodic boundary conditions in Hamilton space are considered. The complex method is introduced and a semi-implicit twenty-seven-points scheme with certain discrete conservation laws－a multi-symplectic conservation law (CLS), a local energy conservation law (ECL) as well as a local momentum conservation law (MCL) －is constructed to discrete the PDEs that are derived from the membrane free vibration equation. The results of the numerical experiments show that the multi-symplectic scheme has excellent long-time numerical behavior.

Two-dimensional non-selfsimilar initial value problem for adhesion particle dynamics

SUN Wen-hua;SHENG Wan-cheng

2007, 28(9):  1191-1198 .  doi:10.1007/s10483-007-0907-x

Abstract ( 1347 )   PDF (233KB) ( 577 )  

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A two-dimensional non-selfsimilar initial value problem for adhesion particle dynamics with two pieces of constant states separated by a circular ring is considered. By using the generalized characteristic method and the generalized Rankine-Hugoniot relation, which is a system of ordinary equations, the global solution which includes delta-shock waves and vacuum is constructed.

Vertical vibrations of elastic foundation resting on saturated half-space

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

2007, 28(9):  1199-1207 .  doi:10.1007/s10483-007-0908-2

Abstract ( 1315 )   PDF (401KB) ( 631 )  

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Wave equations and reaction-diffusion equations with several nonlinear source terms

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

2007, 28(9):  1209-1218 .  doi:10.1007/s10483-007-0909-y

Abstract ( 1412 )   PDF (215KB) ( 664 )  

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The initial boundary value problem of wave equations and reaction-diffusion equations with several nonlinear source terms in a bounded domain is studied by potential well method. The invariance of some sets under the flow of these problems and the vacuum isolation of solutions are obtained by introducing a family of potential wells. Then the threshold result of global existence and nonexistence of solutions are given. Finally, the problem with critical initial conditions are discussed.

Solvability of 2n-order m-point boundary value problem at resonance

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

2007, 28(9):  1219-1226 .  doi:10.1007/s10483-007-0910-y

Abstract ( 1279 )   PDF (185KB) ( 634 )  

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The existence of solutions for the 2n-order m-point boundary value problem at resonance is obtained by using the coincidence degree theory of Mawhin. We give an example to demonstrate our result. The interest is that the nonlinear term may be noncontinuous.

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

2007, 28(9):  1227-1234 .  doi:10.1007/s10483-007-0911-1

Abstract ( 1365 )   PDF (335KB) ( 508 )  

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Bifurcation and pattern formation in a coupled higher autocatalator reaction diffusion system

ZHANG Li;LIU San-yang

2007, 28(9):  1235-1248 .  doi:10.1007/s10483-007-0912-1

Abstract ( 1388 )   PDF (284KB) ( 680 )  

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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 bifurcations in spatially non-uniform solutions in uncoupled and coupled systems is given. Further information about Turing pattern solutions near bifurcation points is obtained by weakly nonlinear theory. Finally, the stability of equilibrium points of the amplitude equation is discussed by weakly nonlinear theory, with the bifurcation branches of the weakly coupled system.

Basis-free expressions for derivatives of a subclass of nonsymmetric isotropic tensor functions

WANG Zhi-qiao;DUI Guan-suo

2007, 28(9):  1249-1257 .  doi:10.1007/s10483-007-0913-y

Abstract ( 1172 )   PDF (182KB) ( 612 )  

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The present paper generalizes the method for solving the derivatives of symmetric isotropic tensor-valued functions proposed by Dui and Chen (2004) to a subclass of nonsymmetric tensor functions satisfying the commutative condition. This subclass of tensor functions is more general than those investigated by the existing methods. In the case of three distinct eigenvalues, the commutativity makes it possible to introduce two scalar functions, which will be used to construct the general nonsymmetric tensor functions and their derivatives. In the cases of repeated eigenvalues, the results are acquired by taking limits.

Global dynamics behaviors for new delay SEIR epidemic disease model with vertical transmission and pulse vaccination

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

2007, 28(9):  1259-1271 .  doi:10.1007/s10483-007-0914-x

Abstract ( 1098 )   PDF (243KB) ( 1290 )  

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A robust SEIR epidemic disease model with a profitless delay and vertical transmission is formulated, and the dynamics behaviors of the model under pulse vaccination are analyzed. By use of the discrete dynamical system determined by the stroboscopic map, an `infection-free' periodic solution is obtained, further, it is shown that the `infection-free' periodic solution is globally attractive when some parameters of the model are under appropriate conditions. Using the theory on delay functional and impulsive differential equation, the sufficient condition with time delay for the permanence of the system is obtained, and it is proved that time delays, pulse vaccination and vertical transmission can bring obvious effects on the dynamics behaviors of the model. The results indicate that the delay is
`profitless'.