应用数学和力学

2003 Vol. 24, No. 2

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Constitutive Relation of Unsaturated Soil by Use of the Mixture Theory(Ⅰ)-Nonlinear Constitutive Equations and Field Equations

HUANG Yi, ZHANG Yin-ke

2003, 24(2): 111-123.

Abstract(2765) PDF(1097)

Abstract:
The nonlinear constitutive equations and field equations of unsaturated soils were constructed on the basis of mixture theory. The soils were treated as the mixture composed of three constituents. First, from the researches of soil mechanics, some basic assumptions about the unsaturated soil mixture...

Constitutive Relation of Unsaturated Soil by Use of the Mixture Theory(Ⅰ)-Nonlinear Constitutive Equations and Field Equations

HUANG Yi, ZHANG Yin-ke

2003, 24(2): 124-137.

Abstract(2427) PDF(763)

Abstract:
The linear constitutive equations and field equations of unsaturated soils were obtained through linearizing the nonlinear equations given in the first part of this work. The linear equations were expressed in the forms similar to Biot's equations for saturated porous media. The Darcy's laws of unsa...

Analytical Solutions of Thermal Stress Distribution in Plastic Encapsulated Integrated Circuit Packages

LIU Yu-lan, WANG Biao, WANG Dian-fu

2003, 24(2): 138-145.

Abstract(2624) PDF(653)

Abstract:
Due to the mismatch in the coefficients of thermal expansion of slicon chip and the surrounding plastic encapsulation materials, the induced thermal stress is the main cause for die and encapsulant rupture. The corner geometry is simplified as the semi-infinite wedge. Then the two-dimensional therma...

A Class of Nonlinear Boundary Value Problems for the Sceond-Order E₂ Class Elliptic Systems in General Form

LI Ming-zhong, XU Ding-hua

2003, 24(2): 146-162.

Abstract(2597) PDF(722)

Abstract:
A class of nonlinear boundary value problems(BVP) for the second-order E₂ class elliptic systems in general form is discussed. By introducing a kind of transformation, this kind of BVP is reduced to a class of generalized nonlinear Riemann-Hilbert BVP. And then some singular integral operators are i...

Active Control of the Piezoelastic Laminated Cylindrical Shell’s Vibration Under Hydrostatic Pressure

LI Hong-yun, LIN Qi-yong, LIU Zheng-xing, WANG Chao

2003, 24(2): 163-174.

Abstract(2379) PDF(841)

Abstract:
The control of the piezoelastic laminated cylindrical shell. s vibration under hydrostatic pressure was discussed. From Hamilton. s principle nonlinear dynamic equations of the piezoelastic laminated cylindrical shell were derived. Based on which, the dynamic equations of a closed piezoelastic cylin...

UGD Property of Musielak-Orlicz Sequence Spaces

WANG Ting-fu, JI Dong-hai, CAO Lian-ying

2003, 24(2): 175-184.

Abstract(1975) PDF(600)

Abstract:
By the properties of the Musielak-Orlicz funcitons. sequence, the necessary and sufficient condition for uniform Gateaux differential(UGD) property of Musielak-Orlicz sequence spacesequipped with the Luxemburg norm and a criterion for weakly uniform rotundity of Musielak-Orlicz sequence space with O...

Asymptotic Dynamic Solution to the Mode Ⅰ Propagating Crack-Tip Field in Elastic-Viscoplastic Material

LI Fan-chun

2003, 24(2): 185-191.

Abstract(2339) PDF(431)

Abstract:
A new elastic-viscoplastic mode was proposed to analyze the stress and strain fields surrounding the tip of a propagating mode cracks. A proper displacement pattern was suggested and asymptotic equations were derived, and numerical solutions were illustrated. The analysis and calculation show that t...

The Constitutive Equations for Mixed Hardening Orthotropic Material

LIU Teng-xi, HUANG Shi-qing, FU Yi-ming

2003, 24(2): 192-196.

Abstract(3341) PDF(1156)

Abstract:
A dimensionless stress yield criterion is proposed to describe the mixed hardening of orthotropic material, including kinematic hardening and proportional hardening, and the associated plastic flow law is derived. The generalized effective stress-strain formulae can be obtained correspondingly based...

Epsilon-Algorithm and Eta-Algorithm of Generalized Inverse Function-Valued Padé Approximants Using for Solution of Integral Equations

LI Chun-jing, GU Chuan-qing

2003, 24(2): 197-204.

Abstract(2396) PDF(693)

Abstract:
Two efficient recursive algorithms epsilon-algorithm and eta-algorithm are introduced to compute the generalized inverse function-valued Pad approximants. The approximants were used to accelerate the convergence of the power series with function-valued coefficients and to estimate characteristic val...

An Analysis Model of Pulsatile Blood Flow in Arteries

LIU Zhao-rong, XU Gang, CHEN Yong, TENG Zhong-zhao, QIN Kai-rong

2003, 24(2): 205-214.

Abstract(2529) PDF(958)

Abstract:
Blood flow in artery was treated as the flow under equilibrium state(the steady flow under mean pressure) combined with the periodically small pulsatile flow. Using vascular strain energy function advanced by Fung, the vascular stress-strain relationship under equilibrium state was analyzed and the ...

A Semi-Analysis Method of Differential Equations With Variable Coefficients Under Complicated Boundary Conditions

LI Ming-an, WANG Zhong-min, GUO Zhi-yong]

2003, 24(2): 215-220.

Abstract(2455) PDF(914)

Abstract:
Based on a method of finite element model and combined with matrix theory, a method for solving differential equations with variable coefficients is proposed. With that method, it is easy to deal with the differential equations with variable coefficients. On most occasions, due to the non-uniformity...