Strength-Criterion Peridynamic Model for Structural Failure Prediction
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Solution Overview
Problem
Current methods for predicting structural failure, such as traditional linear elastic fracture mechanics and damage mechanics, struggle with simulating crack initiation and propagation due to their limitations in handling discontinuities and requiring extensive computational resources, while existing coupling methods rely heavily on human experience and material degradation assumptions that not all materials exhibit.
Innovation Solution
A strength-criterion-driven peridynamic model is introduced, where the weighting function is initially set to zero, allowing the model to degenerate into a pure continuum mechanics model, and then adjusted based on stress criteria to automatically introduce the peridynamic model for simulating crack initiation and propagation, reducing computational burden and eliminating the need for pre-setting the peridynamic domain.
Engineering Contradictions & Design Principles
Engineering Contradiction Analysis
1Reliability
If the peridynamic model is used to simulate crack initiation and propagation, then the ability to handle discontinuities is improved, but the computational resources required increase significantly
Solution Approach 1:
The patent applies local quality by transitioning from a pure continuum mechanics model to a peridynamic model only in localized regions where cracks are detected to form. This is achieved through a domain decomposition approach where the structure is divided into continuum domains and peridynamic domains, allowing the computationally intensive peridynamic calculations to be performed only where necessary (in crack regions) while the majority of the structure uses the more efficient continuum mechanics model.
Solution Approach 2:
The patent segments the computational domain into different regions with different modeling approaches. The structure is divided into continuum elements and peridynamic bonds, with the peridynamic model activated only in regions where cracks are detected. This segmentation allows the system to combine the efficiency of continuum mechanics with the accuracy of peridynamics in critical areas.
2Measurement precision
If the peridynamic model is applied to the entire structure, then crack simulation accuracy is improved, but the calculation time increases by several orders of magnitude
Solution Approach 1:
The patent applies partial action by using the peridynamic model only partially - specifically in regions where cracks are detected to form - rather than applying it to the entire structure. The method uses a damage threshold criterion to identify where peridynamic modeling is necessary, applying it only to those localized regions while using the more computationally efficient continuum mechanics model elsewhere in the structure.
Solution Approach 2:
The patent employs a dynamic switching mechanism where the modeling approach changes based on the structural state. Initially, the entire structure is modeled using continuum mechanics. When damage reaches a critical threshold and cracks are detected, the model dynamically transitions to peridynamics in the affected regions. This dynamic adaptation allows the system to maintain accuracy when needed while minimizing computational overhead during normal operation.
3Productivity
If coupling methods are used to combine continuum mechanics and peridynamics, then computational burden is reduced, but the method relies heavily on human experience and material degradation assumptions
Solution Approach 1:
The patent applies self-service by implementing an automatic, objective criterion for determining when and where to transition from continuum mechanics to peridynamics. The method uses a damage threshold criterion based on the evolution of damage variables, allowing the model to self-determine the appropriate modeling approach without requiring human intervention or subjective judgment. The transition point is objectively determined when the damage variable reaches a specified threshold, eliminating the need for expert experience in setting these parameters.
Data Source
AI summary
A method for predicting a structural failure by a strength-criterion-driven peridynamic model is provided. By building a peridynamic model driven by the strength-criterion of structural materials and then applying geometric and material parameters and working conditions of a structure, a life period from a deformation to a complete break of the structure is predicted. The method is of a high reliability, a wide application range, and a high calculation efficiency. The method simulates an initiation and a propagation of multiple cracks on complex structures under complex load conditions until the structure is destroyed.