07 Fakultät Konstruktions-, Produktions- und Fahrzeugtechnik

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    Second-gradient continua : from Lagrangian to Eulerian and back
    (2022) dell’Isola, Francesco; Eugster, Simon R.; Fedele, Roberto; Seppecher, Pierre
    In this paper, we represent second-gradient internal work functionals in Lagrangian (referential) and Eulerian (spatial) descriptions, and we deduce the corresponding expressions for the Piola transformations of stress and double-stress tensors and of external forces and double-forces. We also derive, in both the Eulerian and Lagrangian description, the expression of surface and edge contact interactions (which include forces and double-forces) for second-gradient continua in terms of the normal and the curvature of contact boundary surfaces and edge shapes.
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    Experimental analysis, discrete modeling and parameter optimization of SLS-printed bi-pantographic structures
    (2022) Harsch, Jonas; Ganzosch, Gregor; Barchiesi, Emilio; Ciallella, Alessandro; Eugster, Simon R.
    Making use of experimental data for bias extension, shearing, and point-load tests in large deformation regime for rectangular and square bi-pantographic specimens, we perform a numerical identification to fit the a priori parameters of a planar discrete spring model. The main objective of the work is to develop an automatized optimization process based on the Nelder-Mead simplex algorithm for identifying the constitutive parameters of discrete modeling of bi-pantographic structures, as well as assessing its descriptiveness and predictive capacity. The analysis allows to conclude that there exists a single set of parameters for the adopted discrete modeling such that it is descriptive and predictive for several different tests and for a wide range of deformations.