Dependence of deformation mechanisms on grain orientations and their changes calculated based on Sachs model in magnesium alloy AZ31

Abstract

During deformation, the orientation of a grain influences not only the deformation mechanisms (slip or twinning) and the specific selection of activated slip or twinning systems for that grain, but also the kinetics of different types of transformation. Schmid factor analysis was applied to determine the orientation dependency of deformation mechanisms in magnesium alloys AZ31 in this work. The orientation changes after the operation of the specific deformation mechanisms were also calculated based on Sachs model. It was found that different deformation mechanisms proceeded differently according to theoretical predictions. Basal slip occurred when basal planes of grains were tilted toward ND around TD. Prismatic slip dominated when basal planes were approximately perpendicular to TD. Calculation results also indicated that the operating of pyramidal 〈a〉 slip can not be neglected. 等标签切断的公式，并移除 \begin{document} html = html.replace(/\$([\s\S]+?)\$/g, function(match, formula) { let clean = formula.replace(/<[^>]+>/g, '') // 删掉公式内部的 HTML 标签 .replace(/\\begin\{document\}/g, '') .replace(/\\end\{document\}/g, '') .replace(/ /g, ' '); // 修复空格实体 return '$' + clean.trim() + '$'; }); // B. 清理残留的预览层和无效 ID (防止 MathJax 跳过) container.innerHTML = html; $(container).find('.MathJax_Preview, .MathJax_Display, .MathJax').remove(); // --- 3. 触发渲染 --- if (window.MathJax && MathJax.Hub) { // 确保配置允许解析 $...$ MathJax.Hub.Config({ tex2jax: { inlineMath: [['$','$'], ['\\(','\\)']] } }); MathJax.Hub.Queue(["Typeset", MathJax.Hub, container]); } } $(document).ready(function() { mag_renderAllMath('zhaiyaojs_text'); });

Keywords

magnesium alloy / deformation / Schmid factor / orientation / Sachs model

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