Analysis of damage and fracture mechanisms in ductile metals under non-proportional loading paths

The paper discusses biaxial experiments and corresponding numerical simulations to analyze the effect of non-proportional loading paths on damage and fracture behavior of ductile metals. Newly developed specimens are taken from thin metal sheets and are tested under different biaxial loading conditions covering a wide range of stress states. In this context, an anisotropic continuum damage model is presented based on yield and damage conditions as well as on evolution laws for plastic and damage strain rates. Different branches of the damage criteria are taken into account corresponding to various damage and failure processes on the micro-level depending on stress triaxiality and Lode parameter. Experiments with biaxially loaded specimens have been performed. Results for proportional and corresponding non-proportional loading histories are discussed. During the experiments strain fields in critical regions of the specimens are analyzed by digital image correlation (DIC) technique while the fracture surfaces are examined by scanning electron microscopy (SEM). Numerical simulations of the experiments have been performed and numerical results are compared with experimental data. In addition, based on the numerical analyses stress distributions in critical parts of specimens are detected. The results demonstrate the efficiency of the new specimen’s geometries covering a wide range of stress states in the shear/tension and shear/compression regime as well as the effect of loading history on damage and fracture behavior in ductile metal sheets

Modeling of ductile damage using numerical analyses on the micro-scale

The presentation deals with a continuum damage model which has been generalized to take into account the effect of stress state on damage criteria as well as on evolution equations of damage strains. It is based on the introduction of damaged and corresponding undamaged configurations. Plastic behavior is modeled by a yield criterion and a flow rule formulated in the effective stress space (undamaged configurations). In a similar way, damage behavior is governed by a damage criterion and a damage rule considering the damaged configurations. Different branches of the damage criterion are considered corresponding to various damage mechanisms depending on stress intensity, stress triaxiality and the Lode parameter. Experiments with carefully designed specimens are performed and the test results are used to identify basic material parameters. However, it is not possible to determine all parameters based on these tension and shear tests. To be able to get more insight in the complex damage behavior under different loading conditions, additional series of micro-mechanical numerical analyses of void containing unit cells have been performed. These finite element calculations on the micro-level cover a wide range of stress triaxialities and Lode parameters in the tension, shear and compression domain. The numerical results are used to show general trends, to develop equations for the stress-statedependent damage criteria, to propose evolution equations of damage strains, and to identify parameters of the continuum model

Modeling and verifying the FlexRay physical layer protocol with reachability checking of timed automata

In this thesis, I report on the verification of the resilience of the FlexRay automotive bus protocol's physical layer protocol against glitches during message transmission and drifting clocks. This entailed modeling a significant part of this industrially used communictation protocol and the underlying hardware as well as the possible error scenarios in fine detail. Verifying such a complex model with model-checking led me to the development of data-structures and algorithms able to handle the associated complexity using only reasonable resources. This thesis presents such data-structures and algorithms for reachability checking of timed automata. It also present modeling principles enabling the construction of timed automata models that can be efficiently checked, as well as the models arrived at. Finally, it reports on the verified resilience of FlexRay's physical layer protocol against specific patterns of glitches under varying assumptions about the underlying hardware, like clock drift.In dieser Dissertation berichte ich über den Nachweis der Resilienz des Bitübertragungsprotokolls für die physikalische Schicht des FlexRay-Fahrzeugbusprotokolls gegenüber Übertragungsfehlern und Uhrenverschiebung. Dafür wurde es notwendig, einen signifikanten Teil dieses industriell genutzten Kommunikationsprotokolls mit seiner Hardwareumgebung und die möglichen Fehlerszenarien detailliert zu modellieren. Ein so komplexes Modell mittels Modellprüfung zu überprüfen führte mich zur Entwicklung von Datenstrukturen und Algorithmen, die die damit verbundene Komplexität mit vernünftigen Ressourcenanforderungen bewältigen können. Diese Dissertation stellt solche Datenstrukturen und Algorithmen zur Erreichbarkeitsprüfung gezeiteter Automaten vor. Sie stellt auch Modellierungsprinzipien vor, die es ermöglichen, Modelle in Form gezeiteter Automaten zu konstruieren, die effizient überprüft werden können, sowie die erstellten Modelle. Schließlich berichtet sie über die überprüfte Resilienz des FlexRay-Bitübertragungsprotokolls gegenüber spezifischen Übertragungsfehlermustern unter verschiedenen Annahmen über die Hardwareumgebung, wie etwa die Uhrenverschiebung.DFG: SFB/TRR 14 "AVACS - Automatische Verifikation und Analyse komplexer Systeme

New approach for determination of strain rate sensitivity of mild steel dc01 under stack compression and uniaxial tensile test

Deformation under uniaxial tensile loading with using Digital Image Correlations (DIC) is the easiest way to analyze the material behavior in sheet metal forming. In order to determine the plastic parameters such as hardening, anisotropy and strain rate sensitivity at higher strain level, equi-biaxial stress state is prerequisite. As reported in the literature, Bulge tests are frequently used for this purpose, but in this work, stack compression test is used as an alternative. In this experiment, deformation in the middle layer where the friction effect is the lowest was monitored using two pairs of DIC systems in rolling and transversal directions. Uniaxial tensile tests as well as stack compression tests were performed on mild ferritic steel DC01 at different strain rates, from 0.001 −1 to 10 −1. Strain rate sensitivity parameter was investigated at different level of strains for both experiments and strain rate sensitivity profiles were obtained. Results show a decrease of material strain rate sensitivity with increasing the true strain

New 2D-Experiments and Numerical Simulations on Stress-state-dependence of Ductile Damage and Failure

AbstractThe paper deals with a series of new experiments and corresponding numerical simulations to be able to study the effect of stress state on damage and failure behavior of ductile metals. The material behavior is modeled by a continuum approach based on free energy functions defined in damaged and corresponding fictitious undamaged configurations leading to elastic material laws which are affected by damage. Inelastic behavior of ductile materials is modeled by continuum plasticity and continuum damage model, respectively. The present approach takes into account the effect of stress state on damage and failure conditions expressed in terms of the stress intensity, the stress triaxiality and the Lode parameter. Previous studies have shown that it will not be possible to propose the stress-state-dependent functions for damage and failure criteria only based on tests with uniaxially loaded specimens. Therefore, new experiments with carefully designed and two-dimensionally loaded specimens have been developed. Corresponding numerical simulations of these tests show that they cover a wide range of stress states allowing validation of stress-state-dependent functions for the damage criterion and evolution laws for the damage strains

Measuring Galaxy Environments with Deep Redshift Surveys

We study the applicability of several galaxy environment measures (n^th-nearest-neighbor distance, counts in an aperture, and Voronoi volume) within deep redshift surveys. Mock galaxy catalogs are employed to mimic representative photometric and spectroscopic surveys at high redshift (z ~ 1). We investigate the effects of survey edges, redshift precision, redshift-space distortions, and target selection upon each environment measure. We find that even optimistic photometric redshift errors (\sigma_z = 0.02) smear out the line-of-sight galaxy distribution irretrievably on small scales; this significantly limits the application of photometric redshift surveys to environment studies. Edges and holes in a survey field dramatically affect the estimation of environment, with the impact of edge effects depending upon the adopted environment measure. These edge effects considerably limit the usefulness of smaller survey fields (e.g. the GOODS fields) for studies of galaxy environment. In even the poorest groups and clusters, redshift-space distortions limit the effectiveness of each environment statistic; measuring density in projection (e.g. using counts in a cylindrical aperture or a projected n^th-nearest-neighbor distance measure) significantly improves the accuracy of measures in such over-dense environments. For the DEEP2 Galaxy Redshift Survey, we conclude that among the environment estimators tested the projected n^th-nearest-neighbor distance measure provides the most accurate estimate of local galaxy density over a continuous and broad range of scales.Comment: 17 pages including 16 figures, accepted to Ap

Effekte des Ringschneidereinsatzes zur pfluglosen Boden-bearbeitung auf physikalische Eigenschaften sandiger Böden

Organic farming on sandy soils in Brandenburg is especially vulnerable to climate change impacts like drought and heavy rainfall. Reduced tillage is considered as one possible adaptation measure. For technical implementation the ring cutter allowing shallow non-inversion tillage with overall root-cutting is under investigation. Its effects on soil bulk density, soil organic matter content, root mass and soil water retention as well as the yield of winter rye were quantified. Results from the spring showed a significant accumulation of organic matter in the tilled top layer and both a significant increase of bulk density and a significant decrease of root mass in the non-tilled lower topsoil. Water retention in the non-tilled layer was reduced. The yield of winter rye was 27 % lower. Due to a compaction the non-tilled layer of the soil was less penetrable by roots. The showed results of only one date do not allow reasoning to a whole tillage system. In the present case it is recommended to loosen the compacted non-tilled layer with additional non-inversion tillage