tsai-wu失效准则公式

tsai-wu失效准则公式
The Tsai-Wu failure criterion is a mathematical formula used to predict the failure of composite materials under complex loading conditions. It is named after its developers, Tsai and Wu, who introduced this criterion in 1971. The criterion is widely used in the field of engineering and materials science to assess the safety and reliability of composite structures.
The Tsai-Wu failure criterion takes into account both the strength and stiffness properties of the composite material. It is based on the assumption that failure occurs when the combined stresses in the material exceed certain predefined limits. These limits are determined by the material's strength properties, such as the ultimate
tensile and compressive strengths, as well as the
material's stiffness properties, such as the modulus of elasticity.
The criterion is expressed in the form of an inequality,
where the left-hand side represents the combined stresses
in the material, and the right-hand side represents the predefined limits. If the left-hand side is greater than the right-hand side, it indicates that the material is in a state of failure. Conversely, if the left-hand side is less than the right-hand side, it suggests that the material is still within its safe operating limits.
The Tsai-Wu failure criterion is particularly useful
for predicting the failure of composite materials under complex loading conditions, such as those encountered in aerospace and automotive applications. These materials are often subjected to a combination of tensile, compressive, and shear stresses, which can be difficult to analyze using other failure criteria.
From a practical standpoint, the Tsai-Wu failure criterion can be implemented using computer-aided engineering (CAE) software. By inputting the material properties and the loading conditions into the software, engineers can obtain a numerical value for the left-hand side of the inequality. By comparing this value to the
right-hand side, they can determine whether the material is likely to fail or not.
In conclusion, the Tsai-Wu failure criterion is a valuable tool for assessing the failure of composite materials. It provides engineers with a quantitative measure of the material's safety and reliability under complex loading conditions. By considering both the strength and stiffness properties of the material, it
offers a comprehensive approach to failure analysis. Its implementation through CAE software enables efficient and accurate predictions, aiding in the design and optimization of composite structures.。