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CONCEPTUAL DIFFICULTIES OF MULTISCALE ANALYSIS

机译:多尺度分析的概念困难

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Multiscale phenomena can be observed in many current engineering applications that students learn in typical undergraduate and graduate engineering education programs. For example, in determining the strength of a material, the presence of micro-scale cracks, dislocations, and voids can dramatically alter the reliability of the material. However, current modeling restrictions such as limited computational time and capabilities can inhibit the study of these behaviors. To deal with this challenge, multiscale analysis techniques are being devised to conserve computational time without sacrificing results. These techniques are being taught to engineering undergraduate and graduate students across the country with mixed results. We have examined why this topic is difficult for students to understand using both qualitative and quantitative methods, and have identified some of these key difficulties. In addition, we have examined how these conceptual hurdles are overcome by both students and researchers at varying levels (pre-college students, undergraduate students, graduate students, post-doctoral fellows, and professors), and have developed different approaches to incorporate into the classroom. A better understanding of these common conceptual hurdles allows for better teaching strategies to be developed that addresses these issues directly and more concisely to preempt or correct difficulties in understanding earlier. In this paper we will present results from interviews with several students, faculty, and post-doctoral researchers. These interviews enabled us to capture in-depth perspectives, from different educational stages, on teaching and conceptual understanding of multiscale analysis. This data provides essential insights into the topic, and serves as the foundation for developing curricular materials in this area.
机译:在许多当前工程应用中可以观察到多尺度现象,学生在典型的本科和研究生教育计划中学习。例如,在确定材料的强度时,微尺度裂缝,脱位和空隙的存在可以显着改变材料的可靠性。然而,当前的建模限制,例如有限的计算时间和能力可以抑制这些行为的研究。为了处理这一挑战,正在设计多尺度分析技术来节省计算时间而不会牺牲结果。这些技术正在向全国范围内的工业本科和研究生进行,并具有混合结果。我们已经审查了为什么学生难以使用定性和定量方法来了解,并确定其中一些关键的困难。此外,我们还研究了这些概念障碍如何由不同水平的学生和研究人员克服(大学生学生,本科生,研究生,博士生,博士后研究员和教授),并制定了不同的方法来融入其中课堂。更好地了解这些普通的概念障碍允许更好地制定的教学策略,以便直接解决这些问题,并更简单地解决早期了解的抢占或纠正困难。在本文中,我们将呈现与几个学生,教师和博士后研究人员采访的结果。这些访谈使我们能够从不同的教育阶段捕捉深入的视角,以了解对多尺度分析的教学和概念性理解。该数据提供了对该主题的必要洞察力,并作为开发该领域课程材料的基础。

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