REPRESENTATION OF CREEP, RATE SENSITIVITY AND PLASTICITY

REPRESENTATION OF CREEP, RATE SENSITIVITY AND PLASTICITY
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DOI:
10.1137/0125051
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发表时间:
1973-01-01
影响因子:
1.9
通讯作者:
FARDSHIS.F
FARDSHIS.F
中科院分区:
数学4区
文献类型:
--
作者:
ONAT, ET;FARDSHIS.F

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金属等材料在一定的载荷和温度条件下表现出的非线性遗传行为,可以用控制材料状态演化的微分方程系统来方便地表示。我们证明了对于金属,这个系统是用状态空间中的向量场来定义的。这使我们能够以统一的方式和几何术语讨论机械行为的各个方面,如蠕变,速率敏感性和塑性。此外,我们表明,在单轴等温应力的情况下,金属在高温下表现出的复杂蠕变行为的基本特征可以用两个状态变量表示。本文最后研究了上述矢量场的热力学要求的含义。
The nonlinear hereditary behavior that materials such as metals exhibit under certtin conditions of loading and temperature can be represented conveniently by means of a system of differential equations which govern the evolution of the state of the material. We show that for metals this system is defined by means of a vector field in the state space. This enables us to discuss aspects of mechanical behavior, such as creep, rate sensitivity and plasticity in a unified manner and in geometrical terms. Further, we show that essential features of the intricate creep behavior that metals exhibit at elevated temperatures could be represented with two state variables in the case of uniaxial isothermal stressing. The paper closes with a study of implications of a thermodynamic requirement on the abovementioned vector field.