同时，也为进一步建立岩体结构合理的损伤演化方程、本构关系和研究岩石破坏机理提供了科学依据。
At the same time, some scientific hypotheses of the damage evolution equations and stress-strain relationship as well as the failure mechanism of rock mass are also proposed.
在控制方程的推导中，对黏弹性本构关系采用物质导数。
The governing equation was derived from the viscoelastic constitution relation by using material derivative.
对加卸载循环的应力-应变曲线，建立了能作理论拟合计算的材料宏观本构理论模型和关系方程。
Proposed a macroscopic constitutive model and relative equations which can be used to simulate theoretically measured stress-strain curves of loading -and unloading cycle.
在弹性、横观各向同性条件下，计算得出了表征土壤-根系复合体应力-应变关系的本构方程。
The constitutive equations of the soil-root composite, which express the stress-strain relationship, were derived under the hypothesis of isotropy.
根据一个有效的非线性粘弹模型，导出复合固体推进剂微分形式本构方程和应变速率关系式。
Based on an effective nonlinear viscoelastic model, the differential constitutive equation and strain-rate equation of solid composite propellants are induced.
以粘弹性材料松弛型积分本构关系为基础，给出了复合材料层合板的有限元控制方程及相应的有限元分析程序。
It is based on the relaxation integral constitutive relation to give the finite element control equation and analysis program for laminated composite plates.
在控制方程的推导中，采用物质导数黏弹性本构关系取代通常采用的只对时间取偏导数的黏弹性本构关系。
The governing equation was derived making use of the viscoelastic constitution relation in which, besides the time derivatives, the material derivatives was also taken into account.
基于动力学方程、本构关系和应变-位移关系建立了小变形粘弹性梁的振动方程。
Based on the dynamical equation, the constitutive relation and the strain-displacement relation, the vibration equation of small deflection beams was derived.
本文从三维弹性力学最基本的平衡方程和本构关系出发，推导出状态传递微分方程。
A state transfer matrix differential equation was derived from the three-dimensional equilibrium equations and constitutive equations of a homogeneous, isotropic linear elastic body.
从三维弹性力学最基本的平衡方程和本构关系出发，推导出状态传递微分方程。
A transfer matrix differential equation is derived from the three-dimensional equilibrium equations and constitutive equations of a homogeneous, isotropic linear elastic body.
随后，基于虚功原理、变形协调条件和本构关系，推导了块体动力系统的控制方程组。
And then the governing equations of the block dynamic system are deduced on the basis of the virtual work principle, the deformation compatibility condition and the constitutive relations.
基于压电材料的本构关系，建立了传感方程和作动方程。
A sensor equation and an actuator equation were developed using the constitutive relations of piezoelectric ceramic materials.
从岩石各向导性的本构方程出发，用有限单元法研究了地层倾角与定向钻井井斜之间的关系。
According to constitutive equations of rock anisot roipy, the relation between deviation of stratum and well inclination in directional drilling has been studied with the finite element method.
将该参量非局部化后代入非局部损伤本构方程中得到混凝土非局部应力与应变关系曲线，其方程为一维状态下的混凝土非局部损伤本构模型。
And nonlocalizing the damage parameters and then substituting them to nonlocal damage constitative model, thus the nonlocal stress_strain relation curve is obtained.
基于各种材料的本构关系，导出了多层压电片作用在梁结构上的力和所施加的电压以及结构的运动之间的耦合关系和系统的控制微分方程。
The formula of actuating force produced by multiple piezoelectric patches and the control equations of multi layer beam are derived based on the constitutive relations of different materials.
然后，利用能量平衡关系，得到仅与表面能密度相关的I型裂纹内聚力新的本构方程。
Then, by means of the energy balance relation, a new cohesive stress law of Mode I crack is obtained which is only concerned with the surface energy density within the cohesive zone.
目的探讨应变率和骨密度与下颌骨拉伸力学性能的关系，建立下颌骨在拉伸载荷下的本构方程。
Objective To study the biomechanical properties of human mandible under tension load and deduce the constitutive equation.
还利用建立的力学模型，给出上述两个材料本构方程的参数之间的关系。
The relationships between the homogeneity indices of the two constitutive equations discussed in this paper are obtained by this method. These relationships are in excellent agreement with each other.
从工程应用出发，给出了峰前分段岩石损伤演化方程及本构关系。
And based on the aim of the application of engineering, the pre peak rock 3 parts damage evolution equation and constitutive model are given.
考虑具有介质阻尼及非线性粘弹性本构关系的梁方程，证明了它的有界吸收集和有限维惯性流形的存在性，并由此得到在一定的条件下所给偏微分方程等价于一常微分方程组的初值问题。
The equations of nonlinear viscouselastic beam are considered, The existence of absorbing set and inertial manifolds for the system are obtained, and from which we get that the P D E.
考虑具有介质阻尼及非线性粘弹性本构关系的梁方程，证明了它的有界吸收集和有限维惯性流形的存在性，并由此得到在一定的条件下所给偏微分方程等价于一常微分方程组的初值问题。
The equations of nonlinear viscouselastic beam are considered, The existence of absorbing set and inertial manifolds for the system are obtained, and from which we get that the P D E.
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