Geometric Representation of Stress

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Authors: Emil de Souza Sánchez Filho
Cited by: 0

Abstract

A symmetric second-order tensor can be decomposed into two symmetric tensors of the same order. The matrix of the first tensor has non-null components only on the principal diagonal, while the second tensor has its principal diagonal elements reduced by the magnitudes of the components of the first tensor. This decomposition is fundamental, as it allows for the separate analysis of the specific characteristics of each individual mathematical object.

Fields of Study & Subjects

Elasticity and Wave Propagation Elasticity and Material Modeling Engineering Applied Research

Publication details

Journal / source
CRC Press eBooks
Pages
125–156
Publication date
24 February 2026
Language
EN
Document type
Book chapter