Wyniki wyszukiwania - BazTech

1

Peridynamics compatible with boundary conditions and its verification in plane elastic problems

Yu M., Zhou Z., Huang Z.

Archives of Mechanics

|

2024

|

Vol. 76, nr 1-2

3--38

EN

In the peridynamic (PD) theory established by Silling and his collaborates, the equation of motion is incompatible with the traction boundary conditions. In order to impose boundary conditions, a technique used is to set a fictitious boundary layer and transforming traction into a body force. This technique is easy to operate, but it is difficult to adapt to complex boundary constraints. To solve this problem, the new peridynamic governing equations with boundary conditions (PDBC) are introduced and simplified. In PDBC, the influence of the boundary conditions is confined to a boundary layer with finite thickness, by which, the surface correction can be shunned. A nonlinear implicit solver for PDBC is implemented. This solver is used to simulate the plane stress problems. The elastic deformations of a rectangular plate under three different boundary conditions, i.e., traction, displacement and mixed boundary conditions, are solved based on the bond-based and ordinary state-based constitutive models. Comparison of computational results between PDBC, the classical elastic theory and the original PD verifies the applicability and accuracy of PDBC and the implicit algorithm.

2

Peridynamic analysis of 2-dimensional deformation and fracture based on an improved technique of exerting traction on boundary surface

Zhou Z., Yu M., Wang X., Huang Z.

Archives of Mechanics

|

2022

|

Vol. 74, nr 6

441--461

EN

For 2-dimensional problems in peridynamics, the transfer functions of boundary traction are constructed. The peridynamic motion equation introducing the boundary traction is improved and used to solve some typical 2-dimensional deformation and fracture problems, including the uniaxial tension and pure bending of plate, and fracture of a plate with the small circular hole or central crack. The acquired numerical solutions are close to the analytical solutions of elasticity and numerical solutions given by the finite element method. The results show that the improved technique of exerting traction on a boundary surface is valid for calculating the deformation and failure of solid. It provides a new method and path for the analysis of traction boundary value problems in peridynamics.

3

Peridynamic Simulation of Crushing Processes in Copper Open-Cell Foam

Postek E., Pęcherski R. B., Nowak Z.

Archives of Metallurgy and Materials

|

2019

|

Vol. 64, iss. 4

1603--1610

EN

In the last 20 years, a new meshless computational method has been developed that is called peridynamics. The method is based on the parallelized code. The subject of the study is the deformation of open-cell copper foams under dynamic compression. The computational model of virtual cellular material is considered. The skeleton structure of such a virtual cellular material can be rescaled according to requirements. The material of the skeleton is assumed as the oxygen free high conductivity (OFHC) copper. The OFHC copper powder can be applied in additive manufacturing to produce the open-cell multifunctional structures, e. g., crush resistant heat exchangers, heat capacitors, etc. In considered peridynamic computations the foam skeleton is described with the use of an elastic-plastic model with isotropic hardening. The dynamic process of compression and crushing with different impact velocities is simulated.

4

Peridynamics for damage modelling and propagation via numerical simulations

Martowicz A.

Diagnostyka

|

2017

|

Vol. 18, No. 1

73--78

EN

The present work provides an overview on the selected applications of peridynamics to damage modelling and simulations of its propagation in mechanical structures. The theoretical fundamentals of the method are briefly described to highlight its advantages and the scope of practical use in the field of computational mechanics. Selected results of numerical analyses are provided to illustrate demanded capabilities. The perspectives of nonlocal and integral based problem formulations for dynamics are discussed.

PL

Artykuł stanowi przegląd wybranych zastosowań perydynamiki w modelowaniu uszkodzeń i symulacji zjawisk ich propagacji w konstrukcjach mechanicznych. Przedstawiono podstawy teoretyczne metody ze szczególnym uwzględnieniem specyfiki zalet perydynamiki w zastosowaniach w mechanice komputerowej. Opisywane zalety metody są zilustrowane wybranymi przykładami analiz numerycznych. Artykuł przedstawia możliwości obliczeniowe nielokalnych sformułowań dla dynamiki bazujących na całkowych równaniach ruchu.