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2.5 Proof that strain tensor is a tensor To prove that \(\varepsilon_{ij}\) is a tensor it is necessary to show that under a rotation of axis the comp 阅读全文
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3. The Stress Tensor The development of the theory of elasticity took about two centuries, beginning with Galileo in the 1600s. The most difficult pro 阅读全文
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Introduction of Deformation, Strain and Rotation Tensors Elasticity theory, which lies at the core of seismology, is most generally studies as a branc 阅读全文
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Introduction of Rotation Transformation And Rotation Matrix 1.1 Summary of vector analysis A vector is defined as a directed line segment, having both 阅读全文
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Cartesian Tensors In subsequent chapters the following three tensors will be introduced. (1) The strain tensor \(\varepsilon_{ij}\) : \[\varepsilon_{i 阅读全文