Inclusions and inhomogeneities under stress

F. R. N. Nabarro

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Inclusions and inhomogeneities under stress

机译：应力下的夹杂物和不均匀性

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Some general theorems, new and old, concerning the behaviour of elastic inclusions and inhomogeneities in bodies without or with external stress, are assembled. The principal new result is that arbitrary external tractions cannot influence the shape of an inclusion, because the elastic field of the external tractions passes unperturbed through the inclusion, and the work done by the external forces is independent of the shape of the inclusion. The terms in the energy quadratic in the external tractions are una ected by the presence of the inclusion, and by Colonnetti's theorem the total elastic energy contains no cross terms between internal and external stresses.

机译：组装了一些新的和旧的通用定理，这些定理涉及弹性夹杂物的行为以及不带外应力或不带外应力的物体的不均匀性。主要的新结果是，任意外部牵引力都不会影响夹杂物的形状，因为外部牵引力的弹性场不受扰动地通过夹杂物，并且外力所做的功与夹杂物的形状无关。外部牵引力中能量二次方的项不受夹杂物的存在的影响，并且通过科洛内蒂定理，总弹性能在内部和外部应力之间不包含交叉项。

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《Philosophical Magazine Letters》 |1996年第2期|共5页
作者
F. R. N. Nabarro;
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正文语种 eng
中图分类物理学;
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Inclusions and inhomogeneities under stress

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