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Elastic-plastic analysis of the crack surface vicinity under a pair of anti-plane forces applied at an arbitrary point on the crack surface

机译:在裂纹表面上的任意点处施加的一对抗平面力下的裂纹表面附近的弹性塑性分析

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An elastic-plastic analysis of the mode III crack surface vicinity was performed in an infinitely wide elastic-perfectly plastic plate, in which a pair of anti-plane forces applied at an arbitrary point on the crack surface. The crack line analysis method was used without the traditional small-scale yield condition. The plastic zone length, the plastic zone shape, and the elastic-plastic stress field in the vicinity of the crack surface were obtained analytically. Moreover, the plastic zone lengths in the vicinity of the crack surface and crack line were compared, and it was found that under a pair of anti-plane forces applied at an arbitrary point on the crack surface, the plastic zone length in the vicinity of the crack surface reached its maximum faster than that in the vicinity of the crack line under the same conditions, which indicates the stress state near the crack surface region is more detrimental than that near the crack line region. The variation of plastic zone length with the load position was also studied, and it was shown that when the point forces were closer to the crack tip, the plastic zone length was smaller and the stress state of the crack was more disadvantageous.
机译:在无限宽的弹性完美塑料板中进行模式III裂纹表面附近的弹性塑性分析,其中一对施加在裂纹表面上的任意点处的反平面力。使用裂缝线分析方法而无需传统的小规模产量。分析地获得塑料区长度,塑料区形状和裂缝表面附近的弹性塑性应力场。此外,比较了裂缝表面和裂缝线附近的塑料区长度,并发现在施加在裂缝表面上的任意点处的一对抗平面力下,附近的塑料区长度裂缝表面在相同条件下的裂缝线附近的最大值达到其最大值,这表明裂缝表面区域附近的应力状态比裂纹线区域附近更有害。还研究了具有负载位置的塑料区长度的变化,并且示出了当点力更接近裂纹尖端时,塑料区长度较小,并且裂缝的应力状态更不利。

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