Constitutive equations for mechanical properties of structural materials.
Constitutive equations for mechanical properties of structural materials.
复制标题
结构材料力学性能的本构方程。
DOI：
10.2514/3.4000
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发表时间：
1967
期刊：
影响因子：
2.5
通讯作者：
D. L. McLellan
中科院分区：
文献类型：
--
作者：
D. L. McLellan
为了描述几种金属和非金属材料在应变率高达103秒/ 1时的应力-应变行为，已经建立了一个现象学本构方程。对于所有被研究的材料，环境温度的行为在经验上都与应变率有共同的关系。该方程形式提供了连续的应力-应变关系，直至拉伸的极限强度和压缩的大塑性应变。结构体系的性能是由所用材料的力学性能来预测的。如果环境导致应变率高于静态速率，则必须了解对模量，强度和延性的影响。用合适的本构方程形式对力学行为进行解析性描述，考虑性能随应变率的变化，对于准确的响应计算是必要的。本构方程应提供在环境条件范围内所有应变率下的连续应力-应变信息，并应易于转换为分析感兴趣的特定结构问题的方便形式。本文提出了一种适用于常温下单轴压缩和拉伸结构材料的现象学本构方程形式，并分三部分进行了讨论。首先，将描述用于获得大范围应变率数据的测试方法。其次，根据测试数据开发方程将显示为程序中包含的所有材料的通用方法。第三，将方程开发的结果与测试数据进行比较，以说明已描述的应力-应变行为的准确性和范围。
A phenomenologic al constitutive equation has been developed to describe conventional stress-strain behaviors for several metallic and nonmetallic materials for strain rates up to 103 sec"1. Ambient temperature behavior has been empirically related to strain rate in a com- mon manner for all materials investigated. The equation form provides continuous stress- strain relationships up to ultimate strength in tension and large plastic strains in com- pression. T HE performance of a structural system is predicted from the mechanical properties of the materials employed. If the environment causes strain rates above the static rate, the resulting effects on modulus, strength, and ductility must be understood. An analytical description of mechanical behavior by a suitable constitutive equation form accounting for property changes with strain rate becomes necessary for accurate response calculations. The constitutive equation should provide continuous stress-strain information on all strain rates within the range of environmental conditions, and should be easily convertible into a convenient form for analyzing the particular structural problem of interest. A phenomenological constitutive equation form, applicable to structural materials in both uniaxial compression and tension at ambient temperature, has been developed and is discussed in three parts. First, the test methods used to ob- tain a wide range of strain rate data will be described. Secondly, equation development from test data will be shown as a common method for all of the materials included in the program. Thirdly, the results of equation development will be compared to test data to illustrate the accuracies and ranges that have been described for stress-strain behaviors.