STRUCTURAL FUNCTION THEORY OF GENERALIZED VARIATIONAL PRINCIPLES FOR LINEAR ELASTIC MATERIALS WITH VOIDS

Applied Mathematics and Mechanics (English Edition) ›› 1991, Vol. 12 ›› Issue (6): 565-575.

STRUCTURAL FUNCTION THEORY OF GENERALIZED VARIATIONAL PRINCIPLES FOR LINEAR ELASTIC MATERIALS WITH VOIDS

皮道华, 金莉华

Huazhong University of Science and Technology, Wuhan

收稿日期:1989-12-18 出版日期:1991-06-18 发布日期:1991-06-18

STRUCTURAL FUNCTION THEORY OF GENERALIZED VARIATIONAL PRINCIPLES FOR LINEAR ELASTIC MATERIALS WITH VOIDS

Pi Dao-hua, Jin Li-hua

Huazhong University of Science and Technology, Wuhan

Received:1989-12-18 Online:1991-06-18 Published:1991-06-18

摘要/Abstract

摘要： In this paper, we have obtained generalized variational principles for linear elastic mate’rials with voids from structural function theory. Correspondent relations between structural functions and generalized variational principles are given.

关键词: structural function, void, variational principles

Abstract: In this paper, we have obtained generalized variational principles for linear elastic mate’rials with voids from structural function theory. Correspondent relations between structural functions and generalized variational principles are given.

Key words: structural function, void, variational principles

皮道华;金莉华. STRUCTURAL FUNCTION THEORY OF GENERALIZED VARIATIONAL PRINCIPLES FOR LINEAR ELASTIC MATERIALS WITH VOIDS[J]. Applied Mathematics and Mechanics (English Edition), 1991, 12(6): 565-575.

Pi Dao-hua;Jin Li-hua. STRUCTURAL FUNCTION THEORY OF GENERALIZED VARIATIONAL PRINCIPLES FOR LINEAR ELASTIC MATERIALS WITH VOIDS[J]. Applied Mathematics and Mechanics (English Edition), 1991, 12(6): 565-575.

[1]	S. M. ABO-DAHAB, A. M. ABD-ALLA, A. A. KILANY. Effects of rotation and gravity on an electro-magneto-thermoelastic medium with diffusion and voids by using the Lord-Shulman and dual-phase-lag models[J]. Applied Mathematics and Mechanics (English Edition), 2019, 40(8): 1135-1154.
[2]	Dong XU, Chunning JI, A. MUNJIZA, E. KALIVIOTIS, E. AVITAL, J. WILLAMS. Study on the packed volume and the void ratio of idealized human red blood cells using a finite-discrete element method[J]. Applied Mathematics and Mechanics (English Edition), 2019, 40(5): 737-750.
[3]	Rajneesh KUMAR Rajeev KUMAR. Propagation of wave at the boundary surface of transversely isotropic thermoelastic material with voids and isotropic elastic half-space[J]. Applied Mathematics and Mechanics (English Edition), 2010, 31(09): 1153-1172.
[4]	张效迅崔振山. Theoretical study of void closure in nonlinear plastic materials[J]. Applied Mathematics and Mechanics (English Edition), 2009, 30(5): 631-642.
[5]	盛东发;程昌钧;扶名福. GENERALIZED VARIATIONAL PRINCIPLES OF THE VISCOELASTIC BODY WITH VOIDS AND THEIR APPLICATIONS[J]. Applied Mathematics and Mechanics (English Edition), 2004, 25(4): 381-389.
[6]	程昌钧;任九生. TRANSVERSELY ISOTROPIC HYPER-ELASTIC MATERIAL RECTANGULAR PLATE WITH VOIDS UNDER A UNIAXIAL EXTENSION[J]. Applied Mathematics and Mechanics (English Edition), 2003, 24(7): 763-773.
[7]	任九生;程昌钧. CAVITATED BIFURCATION FOR INCOMPRESSIBLE HYPERELASTIC MATERIAL[J]. Applied Mathematics and Mechanics (English Edition), 2002, 23(8): 881-888.
[8]	陈建康;黄筑平;白树林. DYNAMIC STRESS ANALYSIS OF THE INTERFACE IN A PARTICLE-REINFORCED COMPOSITE[J]. Applied Mathematics and Mechanics (English Edition), 2000, 21(7): 753-760.
[9]	何吉欢. SEMI-INVERSE METHOD AND GENERALIZED VARIATIONAL PRINCIPLES WITH MULTI-VARIABLES IN ELASTICITY[J]. Applied Mathematics and Mechanics (English Edition), 2000, 21(7): 797-808.
[10]	云天铨. BASIC EQUATIONS, THEORY AND PRINCIPLES OF COMPUTATIONAL STOCK MARKET (Ⅱ) BASIC PRINCIPLES[J]. Applied Mathematics and Mechanics (English Edition), 1999, 20(7): 721-728.
[11]	何吉欢. FURTHER STUDY OF THE EQUIVALENT THEOREM OF HELLINGER-REISSNER AND HU-WASHIZU VARIATIONAL PRINCIPLES[J]. Applied Mathematics and Mechanics (English Edition), 1999, 20(5): 545-556.
[12]	石志飞;黄淑萍;章梓茂. VARIATIONAL PRINCIPLES OF FLUID FULLFILLED ELASTIC SOLIDS[J]. Applied Mathematics and Mechanics (English Edition), 1999, 20(3): 262-268.
[13]	程昌钧;尚新春. THE GROWTH OF THE VOID IN A HYPERELASTIC RECTANGULAR PLATE UNDER A UNIAXIAL EXTENSION[J]. Applied Mathematics and Mechanics (English Edition), 1997, 18(7): 615-621.
[14]	扶名福;盛冬发;李相麟. THE CLASSICAL PRESSURE VESSEL PROBLEM FOR VOID DAMAGE MATERIALS[J]. Applied Mathematics and Mechanics (English Edition), 1997, 18(10): 963-968.
[15]	岳珠峰;郑长卿. THE ANALYSES OF THE THREE-DIMENSIONAL STRESS STRUCTURE NEAR THE CRACK TIP OF MODE I CT SPECIMENS IN ELASTICPLASTIC STATE(Ⅰ)—THE ANALYSES OF CONSTRAINT PARAMETERS AND FRACTURE PARAMETERS[J]. Applied Mathematics and Mechanics (English Edition), 1993, 14(7): 659-668.

STRUCTURAL FUNCTION THEORY OF GENERALIZED VARIATIONAL PRINCIPLES FOR LINEAR ELASTIC MATERIALS WITH VOIDS

STRUCTURAL FUNCTION THEORY OF GENERALIZED VARIATIONAL PRINCIPLES FOR LINEAR ELASTIC MATERIALS WITH VOIDS

PDF

可视化

摘要/Abstract

引用本文

使用本文

参考文献

相关文章 15

编辑推荐

Metrics

本文评价