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Meeting 2018 TMS Annual Meeting & Exhibition
Symposium Fracture: 65 Years after the Weibull Distribution and the Williams Singularity
Presentation Title A Probability Model for Stress Rupture Failure of Carbon Composites, Incorporating Weibull Fiber Strength Statistics, Local Fiber Load Sharing, and Matrix Creep
Author(s) Amy Engelbrecht-Wiggans, Leigh Phoenix
On-Site Speaker (Planned) Amy Engelbrecht-Wiggans
Abstract Scope For decades, modeling the strength of unidirectional continuous fiber composites has been based on Weibull fiber strength statistics within the framework of local micro-mechanical load sharing among failed and surviving fiber elements. Failure results, as load is increased, when a critical cluster forms and becomes unstable. Remarkably, the stress field around such a cluster has features reminiscent of Williams’ stress singularity. Despite the fibers having Weibull strength behavior, the composite tends to be non-Weibull and with much less strength variability than the fibers. Yet the usual size effect, in terms of overall composite volume under stress, remains a key feature. In this paper we extend this analytical framework to incorporate matrix creep around clusters of fiber breaks, which becomes a driver for time dependent stress rupture (static fatigue) failure. This type of model plays a key role in understanding catastrophic stress rupture in carbon composite overwrapped pressure vessels.
Proceedings Inclusion? Planned: Supplemental Proceedings volume

OTHER PAPERS PLANNED FOR THIS SYMPOSIUM

A Data-driven Approach to Predict Microstructurally Small Crack Evolution
A Probability Model for Stress Rupture Failure of Carbon Composites, Incorporating Weibull Fiber Strength Statistics, Local Fiber Load Sharing, and Matrix Creep
An Integrity Basis of Fracture Challenges
Applicability of Weibull Statistics for Micro- and Nano-scale Silicon Components
Comparison of Methods to Find the Weibull Stress Parameters
Composite Overwrapped Pressure Vessel (COPV) Life Test
Computational Procedure for Designing New Gen 3 Steels with High Formability and Ductile Fracture Resistance
E-42: High Temperature Cracking Damage of Calcium Aluminate Cements
E-43: On the Experimental Evaluation of the Fracture Toughness of Shape Memory Alloys
Forward Propagation of Random Microstructural Features for Reliability Estimates of Engineering Structures
Fracture Behavior of High Performance Sheet Steel
Fracture Toughness of Silicon by Variable Temperature Micropillar Splitting
Grain and Sub-grain Level Strains ahead of an Evolving Fatigue Short Crack as Measured by X-ray Techniques
K-dominance of Atomistic Cracks
Limitations and Applicability of LEFM to Spalling Fracture in Single Crystal Semiconductors
NASA's Plan for Development and Transition of Computational Materials-based Capabilities for Next-generation Durability / Damage Tolerance and Additive Manufacturing
On the Prediction of Failure in 6016 Aluminum Alloy Sheet by GISSMO Damage Model
Physical and Computational Aspects of Engineering Damage Mechanics
Predicting Joint Strength: Evaluating Interface Corner Stress Intensity Factor and Cohesive Zone Modeling Approaches
Re-tooling the Engineering Predictive Practices for Durability and Damage Tolerance
Singularities of Dynamic Cracks
Size, Temperature, Environmental Effects on Brittle Fracture (BDT)
The Complexity of Ductile Fracture
The Effect of Loading Rate on Fracture Toughness of Low Ductility Materials
Toughness, Roughness and Crack Path Engineering for Improved Ductile Fracture Resistance
Trends in Microstructure-sensitive Computational Approaches to Fatigue Cracking
Use of Weibull Distribution to Characterize High Performance Fibers
Using R-curves to Predict Fatigue Behavior in Crack Bridging Toughened Ceramics
Void Initiation during Ductile Rupture of Pure Metals
Weibull Analysis of High Strength Ni- and Fe-based Bulk Metallic Glasses

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