Work

Extraction of effective elastic constants of perforated plates with triangular hole pattern using modal analysis

Year: 2025

Type: article

Abstract: To extract the effective modulus of elasticity and effective Poisson's ratio , the natural frequencies of fully perforated circular plates with a triangular hole pattern are analyzed using FEA software. Finite element analysis models with clamped and simply supported boundary conditions are examined to separate the effective material constants from the flexural rigidity , treating the perforated circular plate as a homogeneous structure with these effective material properties. The results show that the effective modulus of elasticity decreases, as the hole size increases. Meanwhile, the behavior of the effective Poisson's ratio turns out to be more complex: it initially decreases to a negative value and then rises to approximately zero with further increases in hole size. A theoretical method for calculating the natural frequencies of a centrally perforated circular plate is also proposed using the Rayleigh-Ritz method and incorporating the effective material properties. The calculated natural frequencies are validated using FEA results, confirming the accuracy of the effective elastic constants and the proposed theory. The derived effective elastic constants , as a function of ligament efficiency, can be applied to the dynamic analysis of perforated plates in reactor internals, enhancing finite element modeling efficiency and achieving effective seismic analyses .

Source: Nuclear Engineering and Technology

DOI: 10.1016/j.net.2025.103663

Authors: Kyeong-Hoon Jeong, Joo Min Kim, Kwang-Hyun Ahn

Institution: Korea Atomic Energy Research Institute

Language: English

Topic: Composite Structure Analysis and Optimization

Subfield: Mechanics of Materials

Field: Engineering

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $200

Funder: Ministry of Trade, Industry and Energy