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This chapter treats two physically different but mathematically similar problems of linear elastostatics, i.e., plane-strain and plane-stress problems. The stress formulation is used. They both reduce to two-dimensional boundary-value problems of the biharmonic operator mathematically. Rectangular and circular bodies are analyzed as examples, as well as bending of beams.

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Plane Strain and Plane Stress

  • 章节

  • 发表日期：

    2025年

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  • Jiashi Yang

摘要

This chapter treats two physically different but mathematically similar problems of linear elastostatics, i.e., plane-strain and plane-stress problems. The stress formulation is used. They both reduce to two-dimensional boundary-value problems of the biharmonic operator mathematically. Rectangular and circular bodies are analyzed as examples, as well as bending of beams.