Department of Structural Mechanics and Computer Aided Engineering
Optimal vault problem – form finding through 2D convex program PDF Print E-mail
Bołbotowski, K. Optimal vault problem – form finding through 2D convex program. Computers & Mathematics with Applications, Elsevier (2022), t. 109, str. 280–324.
This work puts forward a form finding problem of designing a least-volume vault that is a surface structure spanning over a plane region, which via pure compression transfers a vertically tracking load to the supporting boundary. Through a duality scheme, developed recently for the design of pre-stressed membranes, the optimal vault problem is reduced to a pair of mutually dual convex problems formulated on the 2D reference region. (...)
Programowanie wizualne w projektowaniu obliczeniowym PDF Print E-mail
Zbigniew Kacprzyk, Programowanie wizualne w projektowaniu obliczeniowym, Budownictwo i Prawo, 1, 2022, s. 18-23.

W pracy przedstawiono podstawowe informacje o projektowaniu obliczeniowym i programowaniu wizualnym. Przedstawiono krótką klasyfikację projektowania obliczeniowego. Wskazano na konieczność stosowania programowania w projektowaniu obliczeniowym.  Przedstawiono przykład wykorzystania programowania wizualnego do modelowania konstrukcji powłokowej.

Optimal Design Versus Maximal Monge–Kantorovich Metrics Archive for Rational Mechanics and Analysis PDF Print E-mail
K. Bołbotowski, G. Bouchitte, Optimal Design Versus Maximal Monge–Kantorovich Metrics,
Archive for Rational Mechanics and Analysis, DOI 10.1007/s00205-021-01728-2
The connection between the minimal elastic compliance problem and Monge transport involving the euclidean metric cost has been evidenced in the year 1997. The aim of this paper is to renew this connection and adapt it to some variants in optimal design, focusing in particular on the optimal pre-stressed membrane problem. We show that the underlying metric cost is associated with an unknown maximal monotone map which maximizes the Monge-Kantorovich distance between two measures. (..)
O korzyściach z wdrożenia MacroBIM+ w trakcie realizacji „międzywydziałowego projektu interdyscyplinarnego BIM”, jak i w codziennej praktyce PDF Print E-mail
I. Czmoch, J. Walendzik, O korzyściach z wdrożenia MacroBIM+ w trakcie realizacji „międzywydziałowego projektu interdyscyplinarnego BIM”, jak i w codziennej praktyce, Builder 2022; 294 (1): 22-27, DOI: 10.5604/01.3001.0015.5936

Artykuł przedstawia faktyczny przebieg prac studenckiego zespołu projektowego w ramach przedmiotu międzywydziałowy projekt interdyscyplinarny BIM 2020 na podstawie dostępnych notatek oraz własnego doświadczenia uczestnika edycji mpiBIM 2020. (...)

On the Calibration of a Numerical Model for Concrete-to-Concrete Interface PDF Print E-mail
Sławomir Dudziak,  Wioletta Jackiewicz-Rek,  Zofia Kozyra, On the Calibration of a Numerical Model for Concrete-to-Concrete Interface, Materials 2021, 14(23), 7204;

The study was devoted to the numerical modelling of concrete-to-concrete interfaces. Such an interface can be found in many modern composite structures, so proper characterisation of its behaviour is of great importance. A strategy for calibration of a model based on cohesive finite elements and the elastic-damage traction–separation constitutive law available by default in the Abaqus code was proposed. Moreover, the default interface material model was enhanced with the user-field-variables subroutine to include a real strength envelope for such interfaces. Afterwards, the modelling approach was validated with numerical simulation of the most popular tests for determining the strength characteristics of concrete-to-concrete interfaces: three-point bending beam with a notch, splitting bi-material cubic specimens, and slant-shear tests. The results of own pilot studies were used as well as those reported by other researchers. The performed simulations proved the accuracy of the proposed modelling strategy (the mean ratio of ultimate forces obtained with numerical models and from experiments was equal to 1.01). Furthermore, the presented examples allowed us to better understand the basic test methods for concrete interfaces and the observed mechanisms of failure during them.
The isotropic material design of in-plane loaded elastic-plastic plates PDF Print E-mail
S. Czarnecki, T. Lewiński, The isotropic material design of in-plane loaded elastic-plastic plates, Materials, 2021, 14(23), 7430;

This paper puts forward a new version of the Isotropic Material Design method for the optimum design of structures made of an elasto-plastic material within the Hencky-Nadai-Ilyushin theory. This method provides the optimal layouts of the moduli of isotropy to make the overall compliance minimal. Thus, the bulk and shear moduli are the only design variables, both assumed as non-negative fields. The trace of the Hooke tensor represents the unit cost of the design. The yield condition is assumed to be independent of the design variables, to make the design process as simple as possible. By eliminating the design variables, the optimum design problem is reduced to the pair of the two mutually dual Linear Constrained Problems (LCP). The solution to the LCP stress-based problem directly determines the layout of the optimal moduli. A numerical method has been developed to construct approximate solutions, which paves the way for constructing the final layouts of the elastic moduli. Selected illustrative solutions are reported, corresponding to various data concerning the yield limit and the cost of the design. The yield condition introduced in this paper results in bounding the values of the optimal moduli in the places of possible stress concentration, such as reentrant corners.
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