应变空间

本文基于应力空间和应变空间的概念，提出了一种能够概括目前广泛应用的Reuss和Hill本构方程的新的弹塑性本构方程。

In this paper , based on the concepts of the stress space and the strain space , a new elastic-plastic constitutive equation is presented , which is capable of comprehending the existing widely used Reuss 's and Hill 's constitutive equation .

应变空间塑性余位势理论的力学基础研究

Fundamental and mechanical study of plastic complementary potential theory in strain space

弹塑性本构关系的Ilyushin应变空间理论研究进展

Advances of ilyushin 's strain space theory of elasto plastic constitutive equation

提出了建立在应变空间上的混凝土四参数破坏准则，从而消除了Hooke定律假设和平面应力假设对有限元分析计算的影响。

With the four-parameter failure criterion presented in this paper , the influences are eliminated of the basic postulations of the Hooke law and the plain stress on the finite element calculation .

应变空间表述的岩体损伤本构关系

A Constitutive Relation of Rock Mass Expressed in Strain Space

应变空间中一般加载规律的弹塑性本构关系

Elasto-plastic constitutive relation under general loading law in strain space

应变空间中的岩土屈服准则与本构关系

Geotechnical Yield Criteria and Constitutive Relations in Strain Space

建立在损伤应变空间的岩体破坏准则

Failure Criterion of Rock Mass in Damage Strain Space

基于应变空间硅藻质软岩的软化本构模型

Study on softening constitutive model of diatomaceous soft rock based on strain space

应变空间中的弹塑性数值计算方法

Elasto - plastic numerical implementation in strain space

建立了主应力、大连理工人学博士学位论文一八面体应力和应变空间的混凝土破坏准则。

The failure criterions of principal stress , octahedral stress and strain space are established .

讨论了应变空间中的加卸载准则，推导了在应变空间中描述的等向硬化/软化岩土材料一般荷载下的弹塑性增量本构关系的统一形式；

In the strain space , united loading-unloading criterions for elastic-perfectly plastic , hardening and softening materials are discussed .

在此基础上，在应力空间和应变空间中建立了推导一般加载规律的多维增量理论的本构关系的一种途径。

The method of derivation of elastoplastic constitutive relation is established under general loading law in stress space and strain space .

文中介绍了基于多重势面理论所建立的应变空间的多重势面模型，并对其适用性进行验证。

The multi potential surface model in strain space based on multi potential surface theory is described and verified in the paper .

将推导应力空间中一般荷载下的多维增量本构模型的一种途径推广到应变空间；

The method of derivation of multi-dimensional elastic-plastic increment constitutive model under general loading in the stress space is generalized into strain space .

根据广义塑性公设，证明了塑性余位势函数在应变空间塑性区的存在性。

The plastic complementary potential function was proved to exist in the plastic region of strain space by virtue of the new plastic postulation .

在有限元方法的数值计算中使用应变空间表述的加-卸载准则和本构方程也是很方便的。

In numerical computation by the finite element method it is also convenient to use the loading-unloading criteria and the constitutive equations formulated in strain space .

本文针对拱坝开裂分析以及拉应力控制标准研究过程中遇碰到的一系列问题进行了深入研究，主要研究内容如下：（1）混凝土应变空间破坏准则。

A series of researches are developed for arch dam cracking analysis and its tensile stress control criterion :( 1 ) Failure criterion for concrete in strain space .

本文主要解决的问题有两点：1、在应力空间和应变空间中表示应变能密度函数的方法；

In this paper , we have discussed two problems : ( 1 ) the method of representation of strain energy density function in the stress and strain spaces ;

计算中，混凝土本构关系采用多轴强化塑性模型在应变空间中构建的三维本构关系；

During the course of numerical computation , the three-dimensional constitutive equations of concrete in the strain space which were set up by the multi-strengthening plastic model were employed ;

应用这种途径，从应力空间的加载函数和应变空间的加载函数出发，推导了等向强化材料和被加热的等向强化材料的一般加载规律的弹塑性本构关系的两种表示形式。

By using this method , two kinds of expressions of the elasto plastic constitutive relation and the heat elasto plastic constitutive relation are derived from stress loading functions and strain loading functions .

基于应变空间的多重势面模型具有参数求取简单、程序易于实现的特点，更具有实用性。

The multi-potential surface model in strain space is more practical , since its parameters are easy to be determined , and the program based on the model is easy to be developed .

根据模型试验的成果发现，实际结构混凝土开裂与试件开裂有明显的差异，分析实际结构的受力特点，提出了一种基于应变空间的本构模型和开裂准则。

According to test results , the obvious differences between the cracks of a concrete sample and a practical concrete structure are understood , and a constitutive model based on strain space is proposed .

以应变空间的形式建立材料的屈服准则、流动法则、内变量和塑性模量等准则及参量，建立起适合铝合金等线性强化材料应用的弹塑性增量模型。

The model , suitable for isotropic hardening materials like aerospace aluminum alloy , was carried out by determining yield criteria , flow rule , hardening function and plastic modulus in strain space . 4 .

明确提出了应力空间和应变空间疲劳破坏准则的概念，分别建立了复杂应力状态下的应力空间和应变空间的疲劳破坏准则模型，并分析了各自的优、缺点；

The author clearly presents the concepts of fatigue failure criterion based on stress space and strain space , and establishes fatigue failure criterion of stress space and strain space under complex stresses state respectively ;

在拉应变空间，碾压混凝土的变形特性表现为脆弹性，考虑弹性与损伤耦合，应用正交各向异性损伤理论描述碾压混凝土的刚度退化和应变软化；

In tensile strain space , its constitutive laws present elasto-brittleness , where the coupling of elasticity and damage is considered , and the behaviors of stiffness degradation and strain softening are described by orthotropic damage theory .

本文讨论了理想塑性岩土屈服条件在应力空间和应变空间中的表达形式，以及在子午平面上和π平面上屈服迹线的特点。

This paper deals with the expressions of the yield criteria for perfect plastic rock-soil in stress space and strain space , and the characteristics of the yield curves on a meridian plane and a π plane .

在应力空间中，理想塑性的屈服面在材料变形过程中始终保持不变，而在应变空间中，后继屈服面与初始屈服面大小相同，但中心位置随着塑性变形的增大而移动。

In the stress space , the failure surface of perfect plastic materials keeps unchangeable . In the strain space , however , with the constant size of failure surface , its center location moves with the increase of plastic deformation .

在应变空间塑性区必须采用分部塑性应力而不能采用总塑性应变来建构屈服面方程和塑性余位势函数，否则与热力学第二定理相矛盾。

It is necessary to emphasize that the yielding function and the plastic complementary potential surface must be expressed by terms of the fractional plastic stress rather than the whole plastic stress in order not to inflict with the second law of thermodynamics .

基于Biot固结理论，考虑土体侧向变形，空间渗流，对某路堤软基固结变形作平面应变，空间渗流情况下的有限元计算分析。

Based on Biot Consolidation Theory , considering with lateral deformation and spatial seepage of soft clay , this paper analyses the settlement of soft clay foundation under the load of upper embankment using FEM on the condition of plane settlement and spatial seepage .