Applied Mathematics and Mechanics (English Edition)

Initial-boundary value problem of one class of nonlinear Schrödinger equations described in molecular crystals

FANG Shao-mei;GUO Bo-ling

2008, 29(2): 139-144 . doi:10.1007/s10483-008-0201-x

Abstract ( 1511 )

PDF (140KB) ( 513 )

References | Related Articles | Metrics

null

HU Guo-hui;ZHOU Zhe-wei

2008, 29(2): 145-151 . doi:10.1007/s10483-008-0202-y

Abstract ( 1364 )

PDF (373KB) ( 540 )

References | Related Articles | Metrics

null

Research on nucleation and coagulation of nanoparticles in parallel twin jets

YIN Zhao-qin;LIN Jian-zhong;ZHOU Kun

2008, 29(2): 153-162 . doi:10.1007/s10483-008-0203-y

Abstract ( 1271 )

PDF (2479KB) ( 764 )

References | Related Articles | Metrics

The large eddy simulation method has been used to simulate the diffusion of H₂SO₄ vapor in the parallel twin jets. The distributions of number concentration and size of nanoparticles produced by nucleation and coagulation in sulfuric acid/water system are given. The functions of the sulfur content, relative humidity and jet Reynolds number are evaluated according to the distributions of number concentration and size of nanoparticles. The results show that the nucleation in sulfuric acid/water system produces large number of nanoparticles , and gas-to-nanoparticle conversion mostly takes place in the middle and interface of the twin jets. The coagulation process of particles reduces the number concentration, while increases the mean particle size. For the case with higher sulfur content, more number and smaller size nanoparticles are produced by nucleation and coagulation. There is also a larger number of nanoparticles for the cases with higher relative humidity and jet Reynolds number.

Theoretical prediction of stiffness and strength of three-dimensional and four-directional braided composites

LI Dian-sen;LU Zi-xing;LU Wen-shu

2008, 29(2): 163-170 . doi:10.1007/s10483-008-0204-1

Abstract ( 1347 )

PDF (468KB) ( 865 )

References | Related Articles | Metrics

Based on unit cell model, the 3D 4-directional braided composites can be simplified as unidirectional composites with different local axial coordinate system and the compliance matrix of unidirectional composites can be defined utilizing the bridge model. The total stiffness matrix of braided composites can be obtained by the volume average stiffness of unidirectional composites with different local axial coordinate system and the engineering elastic constants of braided composites were computed further. Based on the iso-strain assumption and the bridge model, the stress distribution of fiber bundle and matrix of different unidirectional composites can be determined and the tensile strength of 3D 4-directional braided composites was predicted by means of the Hoffman's failure criterion for the fiber bundle and Mises' failure criterion for the matrix.

null

LUO Yan;FENG Min-fu

2008, 29(2): 171-183 . doi:10.1007/s10483-008-0205-z

Abstract ( 1394 )

PDF (204KB) ( 720 )

References | Related Articles | Metrics

null

YUAN Chang-qing;LI Jun-feng;WANG Tian-shu;BAOYIN He-xi

2008, 29(2): 185-198 . doi:10.1007/s10483-008-0206-z

Abstract ( 1815 )

PDF (982KB) ( 932 )

References | Related Articles | Metrics

null

CHEN Yan-mao;LIU Ji-ke

2008, 29(2): 199-206 . doi:10.1007/s10483-008-0207-x

Abstract ( 1501 )

PDF (241KB) ( 1070 )

References | Related Articles | Metrics

null

Two-dimensional interactions due to moving load in generalized thermoelastic solid with diffusion

Sunita Deswal;Suman Choudhary

2008, 29(2): 207-221 . doi:10.1007/s10483-008-0208-5

Abstract ( 1575 )

PDF (462KB) ( 1039 )

Related Articles | Metrics

The present paper is concerned with the investigation of disturbances in a homogeneous, isotropic elastic medium with generalized thermoelastic diffusion, when a moving source is acting along one of the co-ordinate axis on the boundary of the medium. Eigen value approach is applied to study the disturbance in Laplace-Fourier transform domain for a two dimensional problem. The analytical expressions for displacement components, stresses, temperature field, concentration and chemical potential are obtained in the physical domain by using a numerical technique for the inversion of Laplace transform based on Fourier expansion techniques. These expressions are calculated numerically for a copper like material and depicted graphically. As special cases, the results in generalized thermoelastic and elastic media are obtained. Effect of presence of diffusion is analyzed theoretically and numerically.

null

Saeid Abbasbandy;LIAO Shi-jun

2008, 29(2): 223-228 . doi:10.1007/s10483-008-0209-z

Abstract ( 1358 )

PDF (324KB) ( 1669 )

References | Related Articles | Metrics

null

K. Hooman;A. Ejlali;F. Hooman

2008, 29(2): 229-237 . doi:10.1007/s10483-008-0210-1

Abstract ( 1386 )

PDF (522KB) ( 836 )

References | Related Articles | Metrics

null

PAN Wen-feng;YOU Yun-xiang;MIAO Guo-ping;LI Zhuo-qiu

2008, 29(2): 239-250 . doi:10.1007/s10483-008-0211-y

Abstract ( 1460 )

PDF (244KB) ( 466 )

References | Related Articles | Metrics

null

YANG Ming;SHI Pei-hu

2008, 29(2): 251-257 . doi:10.1007/s10483-008-0212-7

Abstract ( 1477 )

PDF (162KB) ( 472 )

References | Related Articles | Metrics

null

Asymptotic behaviour of solution for fourth order wave equation with dispersive and dissipative terms

XU Run-zhang;ZHAO Xi-ren;SHEN Ji-hong

2008, 29(2): 259-262 . doi:10.1007/s10483-008-0213-y

Abstract ( 1251 )

PDF (140KB) ( 762 )

References | Related Articles | Metrics

This paper studies the initial boundary value problem of fourth order wave equation with dispersive and dissipative terms. By using multiplier method, it is proven that the global strong solution of the problem decays to zero exponentially as the time approaches infinite, under a very simple and mild assumption regarding the nonlinear term.

null

HUAI Wen-xin;XIAO Qing-hua;ZENG Yu-hong;YANG Zhong-hua;QIAN Zhong-dong

2008, 29(2): 263-271 . doi:10.1007/s10483-008-0214-z

Abstract ( 1490 )

PDF (791KB) ( 485 )

References | Related Articles | Metrics

null

YANG Liu;HE Bin-wu

2008, 29(2): 273-278 . doi:10.1007/s10483-008-0215-y

Abstract ( 1302 )

PDF (154KB) ( 542 )

References | Related Articles | Metrics

null

Table of Content