Gauge Field Theory of the Breaking Criterion of Materials Subjected to Intensive Shock Loading
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摘要: 本文给出了规范场理论中的Bessel-Hagen散度不变性的广义E. Noether对称定理。应用此定理及缺陷的规范场理论,研究了材料在强动外载作用下的动力学性质,给出了破坏准则的一般公式,此公式定量地反映了缺陷和外载对材料破坏的影响。作为一个例子,研究了强冲击波作用下材料的破坏情况,使一般公式具体化了,而且定量地反映了冲击波的速度、压力和缺陷对材料破坏的影响。Abstract: The paper presents the generalized E. Noether symmetrical theorem providing the Bessel-Hagen's divergence on gauge field theory is invariance. With the aid of the theorem and gauge field theory of defects, the formula of a breaking criterion of materials subjected to loading is obtained. The formula quantitatively expresses the effect of defects and loading on damage of materials. As a special example. the paper also presents a concrete formula of the breaking criterion of materials under intensive shock loading, and the formula quantitatively expresses the effect of shock speed, pressure and defects on damage of materials.
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Key words:
- shock loading /
- crack propagation /
- defect /
- gauge field
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