Free vibration of edge cracked functionally graded microscale beams based on the modified couple stress theory

DOI10.1142/S021945541750033XMaRDI QIDQ6492864

Şeref Doğuşcan Akbaş

Publication date: 26 April 2024

Published in: International Journal of Structural Stability and Dynamics (Search for Journal in Brave)

zbMATH Keywords

functionally graded materialsmodified couple stress theoryfree vibrationmicrobeamopen edge crack

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Vibrations in dynamical problems in solid mechanics (74H45) Stress (74A10)

Cites Work

• Size-dependent vibration of functionally graded curved microbeams based on the modified strain gradient elasticity theory
• Pull-in analysis of electrically actuated viscoelastic microbeams based on a modified couple stress theory
• The size-dependent natural frequency of Bernoulli-Euler micro-beams
• Nonlinear non-classical microscale beams: static bending, postbuckling and free vibration
• Size dependent buckling analysis of functionally graded micro beams based on modified couple stress theory
• A microstructure-dependent Timoshenko beam model based on a modified couple stress theory
• Elastic materials with couple-stresses
• A phenomenological theory for strain gradient effects in plasticity
• Experiments and theory in strain gradient elasticity.
• Bending and vibration of functionally graded microbeams using a new higher order beam theory and the modified couple stress theory
• Size-dependent vibration analysis of three-dimensional cylindrical microbeams based on modified couple stress theory: a unified treatment
• Three-dimensional nonlinear size-dependent behaviour of Timoshenko microbeams
• Thermo-mechanical dynamics of perfect and imperfect Timoshenko microbeams
• Nonlinear dynamics of cantilevered microbeams based on modified couple stress theory
• Nonlinear free vibration of size-dependent functionally graded microbeams
• Static and dynamic stability modeling of a capacitive FGM micro-beam in presence of temperature changes
• Size-dependent buckling analysis of functionally graded third-order shear deformable microbeams including thermal environment effect
• Couple stress based strain gradient theory for elasticity
• An exact solution for vibrations of postbuckled microscale beams based on the modified couple stress theory
• Size-dependent elastic behavior of FGM ultra-thin films based on generalized refined theory
• Elastic wave propagation in a functionally graded nanocomposite reinforced by carbon nanotubes employing meshless local integral equations (LIEs)
• Nonlocal polar elastic continua
• Effects of couple-stresses in linear elasticity
• ANALYTICAL SOLUTIONS FOR VIBRATION OF SIMPLY SUPPORTED NONLOCAL NANOBEAMS WITH AN AXIAL FORCE
• A NONLOCAL CURVED BEAM MODEL BASED ON A MODIFIED COUPLE STRESS THEORY
• Flexural Vibration of an Atomic Force Microscope Cantilever Based on Modified Couple Stress Theory
• Beam Buckling Analysis by Nonlocal Integral Elasticity Finite Element Method
• RMVT-Based Nonlocal Timoshenko Beam Theory for Stability Analysis of Embedded Single-Walled Carbon Nanotube with Various Boundary Conditions
• VIBRATION OF INITIALLY STRESSED MICRO- AND NANO-BEAMS
• The Surface Crack Problem for a Plate With Functionally Graded Properties

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