Modelling architected beam using a nonlocal derivative-free shear deformable beam theory

DOI10.1007/s00707-023-03581-8zbMath1520.74050MaRDI QIDQ6175778

Mukul Saxena, Saikat Sarkar, J. N. Reddy

Publication date: 24 July 2023

Published in: Acta Mechanica (Search for Journal in Brave)

zbMATH Keywords

integro-differential equationcritical buckling loadVolterra derivative-based model

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Bifurcation and buckling (74G60) Mathematical modeling or simulation for problems pertaining to mechanics of deformable solids (74-10)

Cites Work

• A higher-order nonlocal elasticity and strain gradient theory and its applications in wave propagation
• Microstructure-dependent couple stress theories of functionally graded beams
• Nonlocal theories for bending, buckling and vibration of beams
• A microstructure-dependent Timoshenko beam model based on a modified couple stress theory
• Nonlocal nonlinear analysis of functionally graded plates using third-order shear deformation theory
• Couple stress based strain gradient theory for elasticity
• Reformulation of elasticity theory for discontinuities and long-range forces
• A generalized bond-based peridynamic model for quasi-brittle materials enriched with bond tension-rotation-shear coupling effects
• Strength-induced peridynamic modeling and simulation of fractures in brittle materials
• A new Timoshenko beam model incorporating microstructure and surface energy effects
• A strain gradient Timoshenko beam element: application to MEMS
• A coupling extended multiscale finite element and peridynamic method for modeling of crack propagation in solids
• Peridynamic states and constitutive modeling
• A Kushner-Stratonovich Monte Carlo filter applied to nonlinear dynamical system identification
• Non-local elastic plate theories

This page was built for publication: Modelling architected beam using a nonlocal derivative-free shear deformable beam theory