V2EX finite element

Finite Element

释义 Definition

“Finite element”指有限元(法):一种把复杂结构或连续介质(如梁、板、土体、流体等)分割成许多小的“单元”(elements),通过数值计算来近似求解应力、应变、位移、温度场等工程问题的方法与模型。(常见于结构力学、土木工程、机械、航空航天、材料与生物力学等领域。)

发音 Pronunciation (IPA)

/fanat elmnt/

例句 Examples

Finite element analysis helps engineers predict where a bridge might fail.
有限元分析能帮助工程师预测桥梁可能从哪里发生破坏。

The researcher built a finite element model of the human knee to study how cartilage deforms under repeated loads.
研究人员建立了人类膝关节的有限元模型,用来研究软骨在反复载荷下如何发生变形。

词源 Etymology

“Finite”源自拉丁语 finis(“界限、终点”),表示“有限的”;“element”来自拉丁语 elementum(“基本成分”)。合在一起,“finite element”字面意思是“有限的小单元”,反映了该方法的核心思想:把连续体用有限数量的离散小单元来近似表示,并在计算机上求解。

相关词 Related Words

文学与作品 Literary Works

“Finite element”属于高度技术性的工程术语,更常见于教材、学术专著与标准文献中,而非传统文学作品。常被引用的代表性著作包括:

  • O. C. Zienkiewicz & R. L. Taylor, The Finite Element Method
  • J. N. Reddy, An Introduction to the Finite Element Method
  • K.-J. Bathe, Finite Element Procedures
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