𝗟𝗶𝗻𝗲𝗮𝗿 🆚 𝗡𝗼𝗻-𝗟𝗶𝗻𝗲𝗮𝗿 𝗠𝗮𝘁𝗲𝗿𝗶𝗮𝗹 𝗔𝗻𝗮𝗹𝘆𝘀𝗶𝘀 𝗶𝗻 𝗙𝗘𝗔
The attached video demonstrates the difference between linear and non-linear material analysis using a plate stiffened by a rib under bending.
👉 In 𝗟𝗶𝗻𝗲𝗮𝗿 𝗔𝗻𝗮𝗹𝘆𝘀𝗶𝘀, stress concentrates in narrow regions, often leading to unrealistic stress peaks. This approach assumes small deformations and purely elastic behavior, which limits its accuracy, especially near the material’s yield point.
👉 𝗡𝗼𝗻-𝗟𝗶𝗻𝗲𝗮𝗿 𝗔𝗻𝗮𝗹𝘆𝘀𝗶𝘀, on the other hand, provides a more realistic representation by redistributing stress across neighboring finite elements. As the maximum stress approaches the yield strength, stress begins to spread, preventing the concentration seen in linear models. When yielding occurs, plastic deformation develops, leading to greater deformations and a more realistic stress distribution.
The video highlights how stress distributions on the observed surface initially appear similar for both analyses. However, with non-linear material behavior, stress redistribution becomes evident as the yield limit is approached. The comparison of stress-strain curves in the graph further illustrates the differences. Non-linear analysis captures plastic deformation beyond the elastic range, while in linear analysis, the stress-strain relationship remains strictly linear.
This simulation in hashtag#DlubalSoftware highlights the value of non-linear analysis in scenarios involving yielding or plastic deformation, enabling a more realistic understanding of structural behavior.