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This Week's Feature Composite Example
A Novel Approach to Determine A and BBasis Allowables for
Composite Materials

Many aircraft and spacecraft have advanced designs based on a wellmatured and systematic testing
technology; however, the manufacture and service life risks still remain. In production, testing to reduce risks due to manufacturing defects is performed at many steps up to and including the entire assembly / integration
system levels. Even with all this testing, costly failures still occur and these are increasingly prone to public scrutiny. Table 1 shows the possible mission outcomes given a test prior to service. These tests could be at the part, subcomponent, component, subassembly, assembly and product levels. As the system moves through production, the cost of executing the mitigation strategy increases due to the increased time and labor required for disassembly and reassembly. Composites are particularly vulnerable to increased risk from the execution of this mitigation strategy from both the additional testing that the adjacent structure will be subjected to and the risk of damage due to increased handling. Sometimes the additional damage done by repeated ground tests is not considered in the overall
"remaining life" assessment of the system.
Table 1. Possible Outcomes of the Item Tests [1] 
ABasis and BBasis allowable values are of great importance in the engineering industries involving composite structures. In most cases, strength Allowables are defined using "design point strategy," meaning that Allowables will be obtained for certain predefined configurations, after which only these configurations are allowed for use in the design. In order to reduce cost, limited amount of configurations will be tested, reducing the choice in configurations and with that the optimization possibilities. A solution to this problem would be a "design space strategy" where few tests are needed to calibrate and validate a failure analysis method, after which analysis can be used to analyze a wide range of possible configurations.
The use of
ABasis and BBasis allowable properties recognizes that material properties are statistical in nature. The
two statistically based tolerance bounds are:
ABasis or T99: At least 99% of the population of material values is expected to equal or exceed this tolerance bound [23] with 95% confidence (single point catastrophic failure with noload redistribution)
BBasis or T90: At least 90% of the population of material values is expected to equal or exceed this tolerance bound with 95% confidence (redundant load path with load redistribution)
These allowable values are important for reducing risk in structural designs. Allowable determination is a time consuming and expensive process, since a large number of tests are required. In order to reduce cost and product leadtime, Virtual Testing is used to reduce necessary physical tests by replacing them with analysis. The objective is to reproduce scatter from multiple sources: manufacturing, material properties, and test. This is done analytically using combined multiscale Progressive Failure Analysis and Probabilistic Analysis methods to generate reliably the scatter (variability) in material and coupon strength. To assure high accuracy, the multiscale analysis is used based on a hierarchical analysis, where a combination of macromechanics and micromechanics are coupled with finite element analysis, damage tracking and fracture, and material degradation capability to analyze structures in great detail [4]: The procedure for predicting material Allowables is:
1. Calibration of Constituents (fiber and matrix) to verify the lamina/laminate properties
2. Selection of Random Variables: appropriate variables are selected and reasonable assumptions are made to reproduce natural scatter in the material strength (i.e., void and fiber volume fractions). (See Reference 4 for further details.)
3. Use Virtual Simulation capability in GENOA Software to Predict Probabilistic Scatter in the Failure Load for Each Type of Test: combine progressive failure, as shown in Figure 1, analysis with probabilistic methods
4. Plot and Compare Generated Cumulative Distribution and Probability Density Functions for each test category, as shown in Figure 2.
5. Obtain A and B Basis Allowables from 0.01 and 0.1 Probabilities with 95% confidence, as shown in Figure 2.
Figure 2. GENOA Results: Cumulative Distribution Function Vs. Test Data [3] 
There are three distinct capabilities (options) for generating the A and BBasis Allowables using GENOA Software using:
1. User Provided Test Data  Approach combines deterministic and statistical methods as specified in:
 MIL HDBK17E: Military Handbook for Polymer Matrix Composites
 FAA CFR 14: Aeronautics and Space
2. Limited Test Data (1 coupon from each batch)  Approach combines progressive failure analysis with probabilistic methods. Reduce the number of tests for material qualification.
3. Without Test Data  For trade study approach combines progressive failure analysis with probabilistic methods (assume scatter based on standard practices).
Figure 3. GENOA Probabilistic Sensitivities of Random Variables 
Results & Discussions
Example of generating the A and BBasis Allowables using GENOA Virtual Simulation, based on limited test data [option 2] is shown in Figure 2. The material Allowables are generated and compared with published test data using 3 compressive fiberresin woven composite coupon tests (1st coupon of the 1st panel of the 1st batch). In addition, the software generates the sensitivity of design parameters to the Allowables (Figure 3). The selected variables in simulation were: fiber longitudinal modulus, fiber compressive strength, matrix modulus, matrix compressive strength, fiber volume ratio and void volume ratio. The computational capability presented here results in three major benefits:
1. Reduction in the number of coupon tests for material qualification
2. Accelerate the tradeoff studies in the downselection process for certifying new materials
3. Identification of critical material and manufacturing variables to maximize material performance for a given application
References:
1. Frank Abdi, Tina Castillo, Edward Shroyer "Risk Management of Composite Structure" Book Chapter 45, CRC Handbook, January 2005. Click here to read technical publication.
2. R. Rice, R. Randall, J. Bakuckas, S. Thompson., "Development of MMPDS Handbook Aircraft Design Allowables". Prepared for the 7th Joint DOD/FAA/NASA Conference on Aging Aircraft, September 811, 2003, New Orleans, LA. Click here to read technical publication.
3. DOT/FAA/AR03/19, Final Report, "Material Qualification and Equivalency for Polymer Matrix Composite Material System: Updated Procedure" Office of Aviation Research, Washington, D.C. 20591, U.S. Department of Transportation Federal Aviation Administration, September, 2003. Click here to read technical publication.
4.
M. R. Talagani, Z. Gurdal, and F. Abdi, S. Verhoef "Obtaining ABasis and
BBasis Allowable Values for OpenHole Specimens Using Virtual
Testing" AIAAC2007127, 4. Ankara International Aerospace Conference, 1012 September, 2007
 METU, Ankara.
Click
here to read technical publication.
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