TY - JOUR A1 - Abali, B. E. A1 - Wu, Cheng-Chieh A1 - Müller, W.H. T1 - An energy-based method to determine material constants in nonlinear rheology with applications N2 - Many polymer-type materials show a rate-dependent and nonlinear rheological behavior. Such a response may be modeled by using a series of spring-dashpot systems. However, in order to cover different time scales the number of systems may become unreasonably large. A more appropriate treatment based on continuum mechanics will be presented herein. This approach uses representation theorems for deriving material equations and allows for a systematic increase in modeling complexity. Moreover, we propose an approach based on energy to determine thematerial parameters.This method results in a simple linear regression problemeven for highly nonlinearmaterial equations. Therefore, the inverse problem leads to a unique solution. The significance of the proposed method is that the stored and dissipated energies necessary for the procedure are measurable quantities. We apply the proposed method to a 'semi-solid' material and measure its material parameters by using a simple-shear rheometer. KW - Material equations KW - Constitutive relations KW - Nonlinear rheology KW - Simple-shear rheometer KW - Inverse analysis PY - 2016 U6 - https://doi.org/10.1007/s00161-015-0472-z SN - 0935-1175 SN - 1432-0959 VL - 28 IS - 5 SP - 1221 EP - 1246 PB - Springer CY - Berlin AN - OPUS4-34333 LA - eng AD - Bundesanstalt fuer Materialforschung und -pruefung (BAM), Berlin, Germany ER - TY - CONF A1 - Wu, Cheng-Chieh A1 - Weisbrich, S. A1 - Neitzel, F. ED - Aulova, Alexandra ED - Rogelj Ritonja, Alenka ED - Emri, Igor T1 - Approximate model for geometrical complex structures N2 - Many engineering structures are made of composite materials or metal foam. To simulate the deformational behaviour of these structures often requires a high number of discretisation elements. This in turn yields a very large system of linear equations that are extremely time and memory consuming or practically impossible to solve. It is therefore desirable to find an approach to overcome this obstacle. T2 - 33rd Danubia- Adria Symposium on Advances in Experimental Mechanics CY - Portorož, Slovenia DA - 20.09.2016 KW - Inverse analysis KW - Finite element method KW - Least-squares adjustment PY - 2016 SN - 978-961-94081-0-0 SP - 52 EP - 53 CY - Ljubljana AN - OPUS4-37529 LA - eng AD - Bundesanstalt fuer Materialforschung und -pruefung (BAM), Berlin, Germany ER - TY - CONF A1 - Wu, Cheng-Chieh A1 - Weisbrich, S. A1 - Neitzel, F. T1 - Approximate model for geometrical complex structures N2 - Many engineering structures are made of composite materials or metal foam. To simulate the deformational behaviour of these structures often requires a high number of discretisation elements. This in turn yields a very large system of linear equations that are extremely time and memory consuming or practically impossible to solve. It is therefore desirable to find an approach to overcome this obstacle. T2 - 33rd Danubia- Adria Symposium on Advances in Experimental Mechanics CY - Portorož, Slovenia DA - 20.09.2016 KW - Inverse analysis KW - Finite element method KW - Least-squares adjustment PY - 2016 AN - OPUS4-37523 LA - eng AD - Bundesanstalt fuer Materialforschung und -pruefung (BAM), Berlin, Germany ER - TY - CONF A1 - Wu, Cheng-Chieh A1 - Weisbrich, S. A1 - Neitzel, F. T1 - Approximate model for geometrical complex structures N2 - Many engineering structures are made of composite materials or metal foam. To simulate the deformational behaviour of these structures often requires a high number of discretisation elements. This in turn yields a very large system of linear equations that are extremely time and memory consuming or practically impossible to solve. It is therefore desirable to find an approach to overcome this obstacle. T2 - 33rd Danubia- Adria Symposium on Advances in Experimental Mechanics CY - Portorož, Slovenia DA - 20.09.2016 KW - Inverse analysis KW - Finite element method KW - Least-squares adjustment PY - 2016 AN - OPUS4-37524 LA - eng AD - Bundesanstalt fuer Materialforschung und -pruefung (BAM), Berlin, Germany ER - TY - CONF A1 - Wu, Cheng-Chieh A1 - Weisbrich, S. A1 - Neitzel, F. T1 - Determination of an approximate anisotropic model for a given geometrical complex isotropic structure by means of finite element method and least-squares adjustment N2 - Many engineering structures are made of composite materials or metal foam. To simulate the deformational behaviour of these structures often requires a high number of discretisation elements. This in turn yields a very large system of linear equations that are extremely time and memory consuming or practically impossible to solve. It is therefore desirable to find an approach to overcome this obstacle. T2 - PhD Day 2016 CY - Berlin, Germany DA - 01.09.2016 KW - Least-Squares Adjustment KW - Inverse Analysis KW - Finite Element Method PY - 2016 AN - OPUS4-37521 LA - eng AD - Bundesanstalt fuer Materialforschung und -pruefung (BAM), Berlin, Germany ER - TY - CONF A1 - Wu, Cheng-Chieh A1 - Weisbrich, S. A1 - Neitzel, F. T1 - Ersatzmodell von komplexen geometrischen Strukturen für FEA N2 - Der Grad der Finite-Elemente-Diskretisierung wird vom Verhältnis der Details zur Objektgröße bestimmt. Die Diskretisierung eines großen Objektes mit vielen kleinen Details führt zu einer hohen Anzahl an Elementen bzw. Knotenpunkten. Die Berechnung solcher Körper erfordern nicht nur sehr hohe Rechenzeit, sondern was die Berechnung unmöglich macht, ist der sehr hohe Speicherbedarf. Mit Hilfe eines Ersatzkörpers wird dieses Problem umgangen. T2 - VDI/VDE-GMA Fachausschuss 2.12 "Strukturanalyse und -überwachung in der Bautechnik im Fachbereich Prozessmesstechnik und Strukturanalyse" CY - Darmstadt, Germany DA - 08.09.2016 KW - Ausgleichungsrechnung KW - Inverse Analysis KW - Finite-Elemente-Method PY - 2016 AN - OPUS4-37522 LA - deu AD - Bundesanstalt fuer Materialforschung und -pruefung (BAM), Berlin, Germany ER - TY - JOUR A1 - Wu, Cheng-Chieh A1 - Weisbrich, S. A1 - Neitzel, F. ED - Nicoletto, G. ED - Pastrama, S. D. ED - Emri, I. T1 - Inverse finite element adjustment of material parameters from integrated analysis of displacement field measurement N2 - The determination of material parameters from displacement field measurement is being examined for linear elastic solid. A frequently used approach to compute material constants can be found in many studies. Even though they presented the approach in many different variations, but in the end they are essentially based on the same algorithm: Parameters are iteratively tuned until the computed results are in accordance with the measurements. The main drawback of this approach is that mainly commercial software is used that hinders us to investigate its inner evaluation process. This leads to the question, how the results from this commercial software can be trusted. On the contrary to these debatable approaches, we present a method that inverts the procedure of finite element method by using the most general model for a least-squares adjustment – the GAUSS-HELMERT Model. T2 - 32nd DANUBIA ADRIA SYMPOSIUM on Advances in Experimental Mechanics CY - Starý Smokovec, Slovakia DA - 22.09.2015 KW - Integrated analysis KW - Inverse problem KW - Finite element method KW - Least-squares adjustment KW - Model and measurement based analysis PY - 2016 UR - http://www.sciencedirect.com/science/article/pii/S2214785316002091 U6 - https://doi.org/10.1016/j.matpr.2016.03.004 SN - 2214-7853 VL - 3 IS - 4 SP - 1211 EP - 1215 PB - Elsevier Ltd. AN - OPUS4-35629 LA - eng AD - Bundesanstalt fuer Materialforschung und -pruefung (BAM), Berlin, Germany ER -