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首页> 外文期刊>Journal of engineering materials and technology >A Comprehensive Theory of Yielding and Failure for Isotropic Materials
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A Comprehensive Theory of Yielding and Failure for Isotropic Materials

机译：各向同性材料屈服和破坏的综合理论

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摘要

A theory of yielding and failure for homogeneous and isotropic materials is given. The theory is calibrated by two independent, measurable properties and from those it predicts possible failure for any given state of stress. It also differentiates between ductile yielding and brittle failure. The explicit ductile-brittle criterion depends not only upon the material specification through the two properties, but also and equally importantly depends upon the type of imposed stress state. The Mises criterion is a special (limiting) case of the present theory. A close examination of this case shows that the Mises material idealization does not necessarily imply ductile behavior under all conditions, only under most conditions. When the first invariant of the yield/failure stress state is sufficiently large relative to the distortional part, brittle failure will be expected to occur. For general material types, it is shown that it is possible to have a state of spreading plastic flow, but as the elastic-plastic boundary advances, the conditions for yielding on it can change over to conditions for brittle failure because of the evolving stress state. The general theory is of a three-dimensional form and it applies to full density materials for which the yield/failure strength in uniaxial tension is less than or at most equal to the magnitude of that in uniaxial compression.
机译：给出了均质和各向同性材料的屈服和破坏理论。该理论通过两个独立的可测量特性进行了校准，并根据这些特性预测了在任何给定应力状态下可能发生的故障。它还可以区分延性屈服和脆性破坏。明确的韧性-脆性准则不仅取决于通过两个特性的材料规格，而且同样重要地取决于施加的应力状态的类型。米塞斯准则是本理论的一种特殊（极限）情况。对这种情况的仔细检查表明，Mises材料的理想化并不一定意味着在所有条件下都具有延性，仅在大多数条件下即可。当屈服/破坏应力状态的第一不变性相对于变形部分足够大时，将预期发生脆性破坏。对于一般的材料类型，可以显示出塑性流扩展的状态，但是随着弹塑性边界的发展，由于应力状态的演变，屈服的条件可以转换为脆性破坏的条件。 。一般理论是三维形式的，它适用于全密度材料，其中单轴拉伸的屈服/断裂强度小于或最多等于单轴压缩的强度。

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