☆ 4.5 Article

Static bending of granular beam: exact discrete and nonlocal solutions

MECCANICA (2022)

Related references

Note: Only part of the references are listed.

Article Mechanics

Bending/shear wave dispersion analysis of granular chains - Discrete and enriched continuous Cosserat modelling

Sina Massoumi et al.

Summary: The study focuses on wave dispersion analysis of granular systems, particularly a one-dimensional discrete chain, to understand the relationship between theoretical models, granular materials, and effective parameters. It investigates how granular elements create a wave-guide network for mechanical energy transfer and how the elastic foundation affects the wave dispersion response. The model accurately predicts positive and negative wave velocities as well as standing waves, capturing scale effects and dispersive characteristics.

INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES (2022)

Add to Collection

Article Engineering, Chemical

Grain-Size Effects on Mechanical Behavior and Failure of Dense Cohesive Granular Materials

Payam Poorsolhjouy et al.

Summary: Grain sizes have a significant impact on the mechanical properties and response of granular solids. Changing grain size affects the density of grain-pair interactions and the neighborhood geometry. It also influences the stiffness and damage behavior of grain-pair interactions. A modified continuum model based on the granular micromechanics approach is used to describe the influence of grain size. The results show that decreasing grain size can cause a brittle-to-ductile transition in failure, affecting compression/dilatation behavior and post-peak softening/hardening. The macro-scale failure/yield stress is inversely related to grain sizes, in agreement with previous studies.

KONA POWDER AND PARTICLE JOURNAL (2022)

Add to Collection

Article Engineering, Mechanical

Analysis of low order non-standard continualization methods for enhanced prediction of the dispersive behaviour of a beam lattice

F. Gomez-Silva et al.

Summary: This study applies different standard and non-standard continualization methods to a one-dimensional beam system to investigate the reliability of new non-classical continuum models in capturing the dispersive behavior of the discrete system. Through vibration analysis, comparisons between discrete and continuum models were made, with three novel models showing the best performance.

INTERNATIONAL JOURNAL OF MECHANICAL SCIENCES (2021)

Add to Collection

Article Engineering, Multidisciplinary

Identification of non-local continua for lattice-like materials

Andrea Bacigalupo et al.

Summary: This paper focuses on dynamic homogenization of lattice-like materials with lumped mass at nodes to obtain energetically consistent models for accurate descriptions of the discrete system's acoustic behavior. By utilizing proper mapping and enhanced continualization, equivalent continuum models with non-local terms are derived, achieving energy-consistent differential equations for effective representation of the system's behavior.

INTERNATIONAL JOURNAL OF ENGINEERING SCIENCE (2021)

Add to Collection

Article Acoustics

Exact solutions for the vibration of finite granular beam using discrete and gradient elasticity cosserat models

Sina Massoumi et al.

Summary: This study theoretically investigates the free vibration problem of a discrete granular system and analyzes the effects of microstructure on the dynamic behavior of the equivalent continuum structural model. Natural frequencies are calculated for both the discrete and continuous models, showing the dependency of beam dynamic responses on the beam length ratio.

JOURNAL OF SOUND AND VIBRATION (2021)

Add to Collection

Article Computer Science, Interdisciplinary Applications

Enhanced dynamic homogenization of hexagonally packed granular materials with elastic interfaces

Andrea Bacigalupo et al.

Summary: This study overcomes this drawback through a high-frequency dynamic homogenization scheme, proposing pseudo-differential equations based on enhanced continualization of discrete governing equations to obtain a higher order micropolar continuum thermodynamically consistent with inertial non-locality. The proposed continuum models accurately describe both the static and dynamic behavior of discrete granular models, converging to the response of the discrete system with increasing order of the higher order continuum.

COMPUTERS AND GEOTECHNICS (2021)

Add to Collection

Article Engineering, Mechanical

Role of higher-order inertia in modulating elastic wave dispersion in materials with granular microstructure

Nima Nejadsadeghi et al.

INTERNATIONAL JOURNAL OF MECHANICAL SCIENCES (2020)

Add to Collection

Article Mechanics

Frequency band gaps in dielectric granular metamaterials modulated by electric field

Nima Nejadsadeghi et al.

MECHANICS RESEARCH COMMUNICATIONS (2019)

Add to Collection

Article Mechanics

A brief history of first-order shear-deformable beam and plate models

Noel Challamel et al.

MECHANICS RESEARCH COMMUNICATIONS (2019)

Add to Collection

Editorial Material Mechanics

Granular material models across scales

Anil Misra et al.

MECHANICS RESEARCH COMMUNICATIONS (2019)

Add to Collection

Article Acoustics

Longitudinal and transverse elastic waves in 1D granular materials modeled as micromorphic continua

Anil Misra et al.

WAVE MOTION (2019)

Add to Collection

Article Mechanics

Statics and dynamics of nanorods embedded in an elastic medium: Nonlocal elasticity and lattice formulations

Noel Challamel et al.

EUROPEAN JOURNAL OF MECHANICS A-SOLIDS (2018)

Add to Collection

Article Mechanics

Axial dynamics of a nanorod embedded in an elastic medium using doublet mechanics

Ufuk Gul et al.

COMPOSITE STRUCTURES (2017)

Add to Collection

Article Engineering, Geological

On the failure of a discrete axial chain using a continualized nonlocal Continuum Damage Mechanics approach

Vincent Picandet et al.

INTERNATIONAL JOURNAL FOR NUMERICAL AND ANALYTICAL METHODS IN GEOMECHANICS (2016)

Add to Collection

Article Acoustics

Dynamics of Timoshenko beam on linear and nonlinear foundation: Phase relations, significance of the second spectrum, stability

A. I. Manevich

JOURNAL OF SOUND AND VIBRATION (2015)

Add to Collection

Article Physics, Applied

Development of analytical vibration solutions for microstructured beam model to calibrate length scale coefficient in nonlocal Timoshenko beams

Wen Hui Duan et al.

JOURNAL OF APPLIED PHYSICS (2013)

Add to Collection

Article Mathematics, Applied

Numerical investigation of 1D continuum dynamical models of discrete chain

Igor V. Andrianov et al.

ZAMM-ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK (2012)

Add to Collection

Article Materials Science, Multidisciplinary

The H-microdirectional model: Accounting for a mesoscopic scale

Francois Nicot et al.

MECHANICS OF MATERIALS (2011)

Add to Collection

Article Mechanics

A discrete model and analysis of one-dimensional deformations in a structural interface with micro-rotations

Aleksey A. Vasiliev et al.

MECHANICS RESEARCH COMMUNICATIONS (2010)

Add to Collection

Article Engineering, Multidisciplinary

Generalised homogenisation procedures for granular materials

E Pasternak et al.

JOURNAL OF ENGINEERING MATHEMATICS (2005)

Add to Collection

Article Mechanics

Higher-order continua derived from discrete media: continualisation aspects and boundary conditions

H Askes et al.

INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES (2005)

Add to Collection

© Peeref 2019-2024. All rights reserved.