3 resultados para Cramer-Von Mises Statistics
em AMS Tesi di Laurea - Alm@DL - Università di Bologna
Resumo:
Fatigue life in metals is predicted utilizing regression analysis of large sets of experimental data, thus representing the material’s macroscopic response. Furthermore, a high variability in the short crack growth (SCG) rate has been observed in polycrystalline materials, in which the evolution and distributionof local plasticity is strongly influenced by the microstructure features. The present work serves to (a) identify the relationship between the crack driving force based on the local microstructure in the proximity of the crack-tip and (b) defines the correlation between scatter observed in the SCG rates to variability in the microstructure. A crystal plasticity model based on the fast Fourier transform formulation of the elasto-viscoplastic problem (CP-EVP-FFT) is used, since the ability to account for the both elastic and plastic regime is critical in fatigue. Fatigue is governed by slip irreversibility, resulting in crack growth, which starts to occur during local elasto-plastic transition. To investigate the effects of microstructure variability on the SCG rate, sets of different microstructure realizations are constructed, in which cracks of different length are introduced to mimic quasi-static SCG in engineering alloys. From these results, the behavior of the characteristic variables of different length scale are analyzed: (i) Von Mises stress fields (ii) resolved shear stress/strain in the pertinent slip systems, and (iii) slip accumulation/irreversibilities. Through fatigue indicator parameters (FIP), scatter within the SCG rates is related to variability in the microstructural features; the results demonstrate that this relationship between microstructure variability and uncertainty in fatigue behavior is critical for accurate fatigue life prediction.
Resumo:
The goal of this thesis was the study of the cement-bone interface in the tibial component of a cemented total knee prosthesis. One of the things you can see in specimens after in vivo service is that resorption of bone occurs in the interdigitated region between bone and cement. A stress shielding effect was investigated as a cause to explain bone resorption. Stress shielding occurs when bone is loaded less than physiological and therefore it starts remodeling according to the new loading conditions. µCT images were used to obtain 3D models of the bone and cement structure and a Finite Element Analysis was used to simulate different kind of loads. Resorption was also simulated by performing erosion operations in the interdigitated bone region. Finally, 4 models were simulated: bone (trabecular), bone with cement, and two models of bone with cement after progressive erosions of the bone. Compression, tension and shear test were simulated for each model in displacement-control until 2% of strain. The results show how the principal strain and Von Mises stress decrease after adding the cement on the structure and after the erosion operations. These results show that a stress shielding effect does occur and rises after resorption starts.
Resumo:
Il presente elaborato è stato approfondito e sviluppato presso lo stabilimento della Blackshape Aircraft S.p.A. sito in Monopoli (Bari). L’obiettivo è stato principalmente orientato sull’individuazione di un metodo di progettazione di giunzioni incollate fra laminati in CFRP basato su di un modello matematico in grado di prevederne la resistenza. Per realizzare tale studio sono stati necessari approfondimenti preliminari relativi al comportamento meccanico dei laminati in materiale composito e agli studi condotti da Hart-Smith sulla teoria degli incollaggi. E’ stato determinato un metodo analitico per il calcolo della lunghezza di sovrapposizione degli aderenti. Il criterio di resistenza del giunto individuato, basato sulla teoria del cedimento multiassiale di Von Mises, è stato approvato dalla Agenzia Europea per la Sicurezza Aerea, EASA. A livello numerico-pratico è stato preso in esempio il giunto fra i gusci di fusoliera relativi al nuovo velivolo Blackshape con certificazione VLA (Very Light Aircraft).