4.5 Article

Calibration of the length scale parameter for the stress-driven nonlocal elasticity model from quasi-static and dynamic experiments

相关参考文献

注意:仅列出部分参考文献,下载原文获取全部文献信息。
Article Materials Science, Multidisciplinary

Exact closed-form solutions for nonlocal beams with loading discontinuities

Andrea Caporale et al.

Summary: A novel mathematical formulation is presented for the application of stress-driven nonlocal theory of elasticity to engineering nano-scale problems. The proposed method provides a differential formulation and novel constitutive continuity conditions for determining exact closed-form solutions for nonlocal Euler-Bernoulli beams with loading discontinuities. Several results demonstrate the effectiveness of the proposed method.

MECHANICS OF ADVANCED MATERIALS AND STRUCTURES (2022)

Article Engineering, Multidisciplinary

Nonlocal strain and stress gradient elasticity of Timoshenko nano-beams with loading discontinuities

Andrea Caporale et al.

Summary: In this study, a unified approach is used to determine the strain-driven and stress-driven differential equations of Timoshenko nano-beams with loading discontinuities. The proposed models can simulate small scale effects with different types of constitutive laws and consider points of discontinuities for generalized internal forces. Novel constitutive continuity conditions are imposed at the beam interior points of loading discontinuities, providing an alternative to Dirac delta function. Closed-form solutions to practical cases are obtained using the proposed models.

INTERNATIONAL JOURNAL OF ENGINEERING SCIENCE (2022)

Article Materials Science, Multidisciplinary

Fracture analysis of nanobeams based on the stress-driven non-local theory of elasticity

Sabrina Vantadori et al.

Summary: The Mode I fracture behavior of edge- and centrally-cracked nanobeams is analyzed using both stress-driven non-local theory of elasticity and Bernoulli-Euler beam theory. The study demonstrates that nanobeams exhibit superior fracture performance compared to large-scale beams, with the energy release rate decreasing as the nonlocality increases.

MECHANICS OF ADVANCED MATERIALS AND STRUCTURES (2022)

Article Materials Science, Multidisciplinary

Vibration analysis of nonlocal beams using higher-order theory and comparison with classical models

A. Czekanski et al.

Summary: New higher-order models based on the linear theory of nonlocal elasticity are developed for plane rods and beams. These models are used to analyze tension-compression and transverse bending modes of nonlocal rod and beam vibration. By considering nonlocal effects, the proposed models can be applied to vibration analysis of rods and beams at macroscales, microscales, and nanoscales.

MECHANICS OF ADVANCED MATERIALS AND STRUCTURES (2021)

Article Materials Science, Multidisciplinary

Size-dependent buckling analysis of nanobeams resting on two-parameter elastic foundation through stress-driven nonlocal elasticity model

Hossein Darban et al.

Summary: This study investigates the instability of nanobeams rested on two-parameter elastic foundations using the Bernoulli-Euler beam theory and stress-driven nonlocal elasticity model. Incorporating size-dependency into formulation, results show excellent agreement with existing literature and provide new insights into buckling loads of nanobeams on different foundations like Winkler and Pasternak. The nonlocal elasticity problem in a bounded domain is well-posed and inconsistencies within the Eringen nonlocal theory are addressed.

MECHANICS OF ADVANCED MATERIALS AND STRUCTURES (2021)

Article Materials Science, Multidisciplinary

Does vibration amplitude influence the evaluation of nonlocal small scale parameter of single layered graphene sheets?

S. K. Jalali

MECHANICS OF ADVANCED MATERIALS AND STRUCTURES (2020)

Article Materials Science, Multidisciplinary

Buckling loads of nano-beams in stress-driven nonlocal elasticity

R. Barretta et al.

MECHANICS OF ADVANCED MATERIALS AND STRUCTURES (2020)

Article Engineering, Multidisciplinary

Higher modes of buckling in shear deformable nanobeams

Hossein Darban et al.

INTERNATIONAL JOURNAL OF ENGINEERING SCIENCE (2020)

Article Mechanics

Nonlocal layerwise formulation for interfacial tractions in layered nanobeams

Francesco Fabbrocino et al.

MECHANICS RESEARCH COMMUNICATIONS (2020)

Article Engineering, Multidisciplinary

Size-dependent linear elastic fracture of nanobeams

Hossein Darban et al.

INTERNATIONAL JOURNAL OF ENGINEERING SCIENCE (2020)

Article Materials Science, Multidisciplinary

Longitudinal vibrations of nano-rods by stress-driven integral elasticity

R. Barretta et al.

MECHANICS OF ADVANCED MATERIALS AND STRUCTURES (2019)

Article Engineering, Mechanical

Size Effects in Vibrating Silicon Crystal Microbeams

Ali R. Hadjesfandiari et al.

JOURNAL OF ENGINEERING MECHANICS (2019)

Article Materials Science, Multidisciplinary

Nonlinear vibration of piezoelectric nanoplates using nonlocal Mindlin plate theory

Chen Liu et al.

MECHANICS OF ADVANCED MATERIALS AND STRUCTURES (2018)

Article Materials Science, Multidisciplinary

Nonlocal static analysis of a functionally graded material curved nanobeam

Mohammad Rezaiee-Pajand et al.

MECHANICS OF ADVANCED MATERIALS AND STRUCTURES (2018)

Article Materials Science, Multidisciplinary

Nonlocal nonlinear bending and free vibration analysis of a rotating laminated nano cantilever beam

K. Preethi et al.

MECHANICS OF ADVANCED MATERIALS AND STRUCTURES (2018)

Article Mechanics

Nonlocal inflected nano-beams: A stress-driven approach of bi-Helmholtz type

R. Barretta et al.

COMPOSITE STRUCTURES (2018)

Article Mechanics

Stress-driven nonlocal integral model for Timoshenko elastic nano-beams

Raffaele Barretta et al.

EUROPEAN JOURNAL OF MECHANICS A-SOLIDS (2018)

Article Engineering, Mechanical

A standard experimental method for determining the material length scale based on modified couple stress theory

Zhenkun Li et al.

INTERNATIONAL JOURNAL OF MECHANICAL SCIENCES (2018)

Article Materials Science, Multidisciplinary

Nonlocal and surface effects on the buckling behavior of flexoelectric sandwich nanobeams

Farzad Ebrahimi et al.

MECHANICS OF ADVANCED MATERIALS AND STRUCTURES (2018)

Article Engineering, Multidisciplinary

Nonlocal elasticity in nanobeams: the stress-driven integral model

Giovanni Romano et al.

INTERNATIONAL JOURNAL OF ENGINEERING SCIENCE (2017)

Article Engineering, Mechanical

Constitutive boundary conditions and paradoxes in nonlocal elastic nanobeams

Giovanni Romano et al.

INTERNATIONAL JOURNAL OF MECHANICAL SCIENCES (2017)

Article Engineering, Multidisciplinary

Free vibrations of Bernoulli-Euler nano-beams by the stress-driven nonlocal integral model

Andrea Apuzzo et al.

COMPOSITES PART B-ENGINEERING (2017)

Review Engineering, Multidisciplinary

A review on nonlocal elastic models for bending, buckling, vibrations, and wave propagation of nanoscale beams

M. A. Eltaher et al.

APPLIED MATHEMATICAL MODELLING (2016)

Article Engineering, Multidisciplinary

Bending of Euler-Bernoulli beams using Eringen's integral formulation: A paradox resolved

J. Fernandez-Saez et al.

INTERNATIONAL JOURNAL OF ENGINEERING SCIENCE (2016)

Article Engineering, Multidisciplinary

Comments on nonlocal effects in nano-cantilever beams

Cheng Li et al.

INTERNATIONAL JOURNAL OF ENGINEERING SCIENCE (2015)

Article Mathematics, Applied

Analytical length scale calibration of nonlocal continuum from a microstructured buckling model

Noel Challamel et al.

ZAMM-ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK (2014)

Article Materials Science, Multidisciplinary

Nonlocal Effects in Curved Single-Walled Carbon Nanotubes

Reha Artan et al.

MECHANICS OF ADVANCED MATERIALS AND STRUCTURES (2011)

Article Nanoscience & Nanotechnology

The small length scale effect for a non-local cantilever beam: a paradox solved

N. Challamel et al.

NANOTECHNOLOGY (2008)

Article Engineering, Multidisciplinary

Nonlocal theories for bending, buckling and vibration of beams

J. N. Reddy

INTERNATIONAL JOURNAL OF ENGINEERING SCIENCE (2007)

Article Multidisciplinary Sciences

Anomalous resonance in a nanomechanical biosensor

Amit K. Gupta et al.

PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA (2006)

Article Materials Science, Multidisciplinary

Flexural wave propagation in single-walled carbon nanotubes

LF Wang et al.

PHYSICAL REVIEW B (2005)

Article Materials Science, Composites

Elastic moduli of multi-walled carbon nanotubes and the effect of van der Waals forces

CY Li et al.

COMPOSITES SCIENCE AND TECHNOLOGY (2003)

Article Materials Science, Multidisciplinary

Experiments and theory in strain gradient elasticity

DCC Lam et al.

JOURNAL OF THE MECHANICS AND PHYSICS OF SOLIDS (2003)