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In this chapter, we focus on three-dimensional infinitesimal linear elastic problems. We will develop general solutions for Navier's equation, which is fundamental to three-dimensional elasticity theory. Additionally, we will explore solutions for several practically significant 3D problems, including those related to elastic contacts. This exploration will provide insights into the application of these theoretical solutions in real-world scenarios.

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Solutions for Infinitesimal Three-Dimensional Problems

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  • 发表日期：

    2025年

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  • Junqian Zhang,
  • Yicheng Song,
  • Bo Lu

摘要

In this chapter, we focus on three-dimensional infinitesimal linear elastic problems. We will develop general solutions for Navier's equation, which is fundamental to three-dimensional elasticity theory. Additionally, we will explore solutions for several practically significant 3D problems, including those related to elastic contacts. This exploration will provide insights into the application of these theoretical solutions in real-world scenarios.