1) elastic constructive relation
弹性本构关系
1.
In this paper,various elastic constructive relations of anisotropic earth media are discussed as well as the angular dispersion of elastic waves.
论述了地壳介质中存在的各类各向异性及其弹性本构关系 ,推导了应变能变换公式、EDA薄层各向异性弹性常数及非对称面上EDA构成的单斜对称弹性常数的计算公式 ;讨论了几种各向异性对称系统的本征方程并给出了弹性波的角散表达式 ,最后选取合理的参数对波的角散现象作了数值模拟。
3) elastoviscoplastic constitutive relationship
弹塑性本构关系
1.
Several objective spins of solid cylinder torsion deformation were rendered and the large deformation elastoviscoplastic constitutive relationships were derived for the Oldroyd stress rate,the generalizing Jaumann stress rate and the stress rate with respect to the spin of the frame of deformation rate with the aid of stress-strain curve from torsion test.
研究采用实心圆轴扭转试验标定大变形弹塑性本构关系时客观应力导数的影响问题。
2.
In this paper,large deformation elastoviscoplastic constitutive relationship is discussed by the aid of torsion test with cylinder specimens.
研究了用实心圆轴扭转实验标定大变形弹塑性本构关系的问题。
3.
In the dissertation, within the framework of the principles of continuum mechanics, large deformation elastoviscoplastic constitutive relationships are defined by torsion test with cylinder specimens.
本文以连续介质力学为理论基础,研究了通过实心圆轴扭转实验资料来标定大变形弹塑性本构关系的问题。
4) elastoplastic constitutive relations
弹塑性本构关系
1.
Based on the numerical method of the inverse problem theory in modeling the constitutive relations of rock and soil,the numerical modeling for the elastoplastic constitutive relations of sand is studied.
基于反问题理论的岩土本构关系数值建模方法,对砂土弹塑性本构关系的数值建模进行了研究。
2.
Based on the numerical method of the inverse problem theory in modeling the constitutive relations of rock and soil, the numerical modeling for the elastoplastic constitutive relations of sand is studied.
基于反问题理论的岩土本构关系数值建模方法 ,对砂土弹塑性本构关系的数值建模进行了研究 。
5) nonlinearly elastic constitutive relation
非线性弹性本构关系
1.
Under Voigt model,herein we obtain an expression of nonlinearly elastic constitutive relation on(anisotropic) aggregates of cubic crystallites.
在Voigt模型下,Barsch(1968)和Johnson(1985)分别给出了立方晶粒各向同性集合和正交集合的非线性弹性本构关系。
6) nonlinear viscoelastic constitutive relation
非线性粘弹性本构关系
1.
A new nonlinear viscoelastic constitutive relation baced on the three-dimensional nonlinear viscoelastic constitutive relations by Stieltjes convolution and the elastic recovery correspondence principle in the form of three-dimension constitutive relation is proposed in this paper.
在引用三维Stieltjes卷积形式的简化非线性粘弹性本构关系和三维本构关系的弹性回复对应原理的基础上 ,提出了一种寻求非线性粘弹性本构关系的新方法 ,运用上述理论对聚丙烯材料在不同应变率条件下的单轴拉伸应力应变曲线进行了模拟 ,理论计算表明 ,建立在弹性回复对应原理基础上的非线性粘弹性本构关系能够对聚合物一类非线性粘弹性材料的本构行为进行合理的描
2.
In this paper, the nonlinear viscoelastic constitutive relation with damage which is based on the proposed nonlinear viscoelastic constitutive relation is obtained by means of continuum damage metho d (CDM).
在已有非 线性粘弹性本构关系的基础上，运用连续介质损伤力学方法，得到了一个考虑损伤的非线性 粘弹性本构关系，并通过对在不同应变率条件下的单轴拉伸实验的理论研究，验证了考虑损 伤的非线性粘弹性本构关系更适合于对非线性粘弹性材料的力学行为进行描述的结论。
3.
The result that the nonlinear viscoelastic constitutive relation being marked by the instantaneous elastic constitutive relation can correctly describe the mechanics behaviors of nonlinear viscoelastic materials is verified by comparison between the theoretic calculated results and experime.
结合实例分析 ,验证了由该瞬时弹性本构所表征的非线性粘弹性本构关系能对非线性粘弹性材料的力学行为进行合理描述的结论 。
补充资料：本构关系
| 本构关系 constitutive relations 反映物质宏观性质的数学模型。又称本构方程。归纳宏观实验结果，建立有关物质的本构关系是连续介质力学和流变学的重要研究课题。最熟知的本构关系有胡克定律、牛顿粘性定律（见粘度）、理想气体状态方程、热传导方程等。 建立本构关系时，为保证理论的正确性，须遵循一定的公理 ，即所谓本构公理 。例如纯力学物质的本构公理有三：确定性公理(物体中的物质点在时刻t的应力状态由物体中各物质点的运动历史唯一确定）、局部作用公理（物体中的物质点的应力状态与离开该物质点有限距离的其他物质点的运动无关）和客观性公理（物质的力学性质与观察者无关）。若考虑更复杂的情况，本构公理的数目就相应增多。求解连续介质动力学初边值问题，本构关系是不可少的；否则就无法把握所研究连续介质的特殊性，在数学上表现为控制方程不封闭，其解不能唯一确定。建立物质的本构关系是流变学的重要任务，可通过实验方法、连续介质力学方法和统计力学的有机结合来完成。然而，尚未找到一个普适的本构关系，需根据研究对象和流动形态选用合适的本构关系。理性力学除对本构关系进行极为一般的研究外，还对弹性物质、粘性物质、塑性物质、粘弹性物质、粘塑性物质、弹塑性物质以及热和力耦合、电磁和力耦合、热和力以及电磁耦合等物质的本构关系进行具体研究。 |
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参考词条