University, Diss., 2006--Frankfurt (Main). / Zsfassung in engl. und dt. Sprache.

Frankfurt (Main), University, Diss., 2007.

Stuttgart, Univ., Diss., 2003.

Techn. Universiẗat, Diss., 2002--Berlin.

Non-negligible coupled thermal and mechanical effects occur in several physical and industrial procedures, e.g. warm for ming processes. The authors present the theoretical background of a phenomenological thermoelastoplastic material model at large strains as well as its numerical realization within the context of appropriate finite element formulations. As usual, the presented thermodynamical consistent constitutive approach is based on the multiplicative decomposition of the deformation gradient, and a corresponding additive decomposition of the free Helmholtz energy density. For the numerical treatment of thermoelastoplastic problems within a finite element approach, weak formulations of the balance equation of momentum and the heat conduction equation in material description are developed. For the solution of non-linear boundary value problems the linearization of the weak formulations is presented. Within the context of the mechanical problem the temperature dependence of material parameters as well as the thermal expansion are considered. The temperature evolution will be affected by non-thermal phenomena like the thermoelastic effect and plastic dissipation. Several numerical procedures for the solution of the coupled thermomechanical problem are discussed.

Non-negligible coupled thermal and mechanical effects occur in several physical and industrial procedures, e.g. warm for ming processes. The authors present the theoretical background of a phenomenological thermoelastoplastic material model at large strains as well as its numerical realization within the context of appropriate finite element formulations. As usual, the presented thermodynamical consistent constitutive approach is based on the multiplicative decomposition of the deformation gradient, and a corresponding additive decomposition of the free Helmholtz energy density. For the numerical treatment of thermoelastoplastic problems within a finite element approach, weak formulations of the balance equation of momentum and the heat conduction equation in material description are developed. For the solution of non-linear boundary value problems the linearization of the weak formulations is presented. Within the context of the mechanical problem the temperature dependence of material parameters as well as the thermal expansion are considered. The temperature evolution will be affected by non-thermal phenomena like the thermoelastic effect and plastic dissipation. Several numerical procedures for the solution of the coupled thermomechanical problem are discussed.

‘Coupled process’ implies that one process affects the initiation and progress of the others and vice versa. The deformation and damage behaviors of rock under loading process change the fluid flow field within it, and lead to altering in permeable characteristics; on the other side inner fluid flow leads to altering in pore pressure and effective stress of rock matrix and flow by influencing stress strain behavior of rock. Therefore, responses of rock to natural or man-made perturbations cannot be predicted with confidence by considering each process independently. As far as hydro-mechanical behavior of rock is concerned, the researchers have always been making efforts to develop the model which can represent the permeable characteristics as well as stress-strain behaviors during the entire damage process. A brittle low porous granite was chosen as the study object in this thesis, the aim is to establish a corresponding constitutive law including the relation between permeability evolution and mechanical deformation as well as the rock failure behavior under hydro-mechanical coupled conditions based on own hydro-mechanical coupled lab tests. The main research works of this thesis are as follows: 1. The fluid flow and mechanical theoretical models have been reviewed and the theoretical methods to solve hydro-mechanical coupled problems of porous medium such as flow equations, elasto-plastic constitutive law, and Biot coupled control equations have been summarized. 2. A series of laboratory tests have been conducted on the granite from Erzgebirge–Vogtland region within the Saxothuringian segment of Central Europe, including: permeability measurements, ultrasonic wave speed measurements, Brazilian tests, uniaxial and triaxial compression tests. A hydro-mechanical coupled testing system has been designed and used to conduct drained, undrained triaxial compression tests and permeability evolution measurements during complete loading process. A set of physical and mechanical parameters were obtained. 3. Based on analyzing the complete stress-strain curves obtained from triaxial compression tests and Hoek-Brown failure criterion, a modified elemental elasto-plastic constitutive law was developed which can represent strength degradation and volume dilation considering the influence of confining pressure. 4. The mechanism of HM-coupled behavior according to the Biot theory of elastic porous medium is summarized. A trilinear evolution rule for Biot’s coefficient based on the laboratory observations was deduced to eliminate the error in predicting rock strength caused by constant Biot’s coefficient. 5. The permeability evolution of low porous rock during the failure process was described based on literature data and own measurements, a general rule for the permeability evolution was developed for the laboratory scale, a strong linear relation between permeability and volumetrical strain was observed and a linear function was extracted to predict permeability evolution during loading process based on own measurements. 6. By combining modified constitutive law, the trilinear Biot’s coefficient evolution model and the linear relationship between permeability and volumetrical strain, a fully hydro-mechanical coupled numerical simulation scheme was developed and implemented in FLAC3D. A series of numerical simulations of triaxial compression test considering the hydro-mechanical coupling were performed with FLAC3D. And a good agreement was found between the numerical simulation results and the laboratory measurements under 20 MPa confining pressure and 10 MPa fluid pressure, the feasibility of this fully hydro-mechanical coupled model was proven.

‘Coupled process’ implies that one process affects the initiation and progress of the others and vice versa. The deformation and damage behaviors of rock under loading process change the fluid flow field within it, and lead to altering in permeable characteristics; on the other side inner fluid flow leads to altering in pore pressure and effective stress of rock matrix and flow by influencing stress strain behavior of rock. Therefore, responses of rock to natural or man-made perturbations cannot be predicted with confidence by considering each process independently. As far as hydro-mechanical behavior of rock is concerned, the researchers have always been making efforts to develop the model which can represent the permeable characteristics as well as stress-strain behaviors during the entire damage process. A brittle low porous granite was chosen as the study object in this thesis, the aim is to establish a corresponding constitutive law including the relation between permeability evolution and mechanical deformation as well as the rock failure behavior under hydro-mechanical coupled conditions based on own hydro-mechanical coupled lab tests. The main research works of this thesis are as follows: 1. The fluid flow and mechanical theoretical models have been reviewed and the theoretical methods to solve hydro-mechanical coupled problems of porous medium such as flow equations, elasto-plastic constitutive law, and Biot coupled control equations have been summarized. 2. A series of laboratory tests have been conducted on the granite from Erzgebirge–Vogtland region within the Saxothuringian segment of Central Europe, including: permeability measurements, ultrasonic wave speed measurements, Brazilian tests, uniaxial and triaxial compression tests. A hydro-mechanical coupled testing system has been designed and used to conduct drained, undrained triaxial compression tests and permeability evolution measurements during complete loading process. A set of physical and mechanical parameters were obtained. 3. Based on analyzing the complete stress-strain curves obtained from triaxial compression tests and Hoek-Brown failure criterion, a modified elemental elasto-plastic constitutive law was developed which can represent strength degradation and volume dilation considering the influence of confining pressure. 4. The mechanism of HM-coupled behavior according to the Biot theory of elastic porous medium is summarized. A trilinear evolution rule for Biot’s coefficient based on the laboratory observations was deduced to eliminate the error in predicting rock strength caused by constant Biot’s coefficient. 5. The permeability evolution of low porous rock during the failure process was described based on literature data and own measurements, a general rule for the permeability evolution was developed for the laboratory scale, a strong linear relation between permeability and volumetrical strain was observed and a linear function was extracted to predict permeability evolution during loading process based on own measurements. 6. By combining modified constitutive law, the trilinear Biot’s coefficient evolution model and the linear relationship between permeability and volumetrical strain, a fully hydro-mechanical coupled numerical simulation scheme was developed and implemented in FLAC3D. A series of numerical simulations of triaxial compression test considering the hydro-mechanical coupling were performed with FLAC3D. And a good agreement was found between the numerical simulation results and the laboratory measurements under 20 MPa confining pressure and 10 MPa fluid pressure, the feasibility of this fully hydro-mechanical coupled model was proven.

Im Rahmen dieser Arbeit werden Gleichungen und Methoden zur Berechnung nicht-koaxial gekoppelte, insbesondere offener Umlaufrädergetriebe erweitert. Eine Formelsammlungen fasst bekannte und neue Gleichungen für offene und rückkehrende Umlaufrädergetriebe zusammen. Ein methodischer Ansatz der Getriebesynthese (Ermittlung von Übersetzungen und Zähnezahlen) für derartige, im Dreiwellenbetrieb genutzte Getriebe, wird unter Beachtung definierter Mindestanforderungen entwickelt. Die neuen Berechnungstheorien und Methoden der Getriebesynthese werden am Beispiel der Herleitung optimaler Getriebekonfigurationen für die Antriebsstränge von Orbital-Bearbeitungsmaschinen gezeigt und mittels Systemsimulation verifiziert. Einsatzgrenzen sowie Konstruktionsrichtlinien werden für diese Maschinengattung abgeleitet.:1 Einleitung der Arbeit 2 Grundlagen der Umlaufrädergetriebe 3 Berechnung der Umlaufrädergetriebe 4 Orbital-Bearbeitungsmaschine 5 Getriebesynthese 6 Systemsimulation einer Orbital-Bearbeitungsmaschine 7 Schlussbetrachtungen der Arbeit Anlagen / In this paper, equations and methods for the calculation of non-coaxially coupled, in particular open planetary gearboxes are extended. A collection of formulas summarizes known and new equations for open and standard planetary gearboxes. A methodical approach of gear synthesis (determination of ratios and numbers of teeth) for such gearboxes driven in three-shaft operation is developed under consideration of defined minimum requirements. The new calculation theories and methods of gear synthesis are demonstrated using the example of deriving optimal gear configurations for the drive trains of orbital machining centres and verified by means of system simulation. Application limits and design guidelines are derived for this type of machine tool.:1 Einleitung der Arbeit 2 Grundlagen der Umlaufrädergetriebe 3 Berechnung der Umlaufrädergetriebe 4 Orbital-Bearbeitungsmaschine 5 Getriebesynthese 6 Systemsimulation einer Orbital-Bearbeitungsmaschine 7 Schlussbetrachtungen der Arbeit Anlagen