Results 51 to 60 of about 71,780 (248)

Fractional Calculus for Continuum Mechanics - anisotropic non-locality

, 2015
In this paper the generalisation of previous author's formulation of fractional continuum mechanics to the case of anisotropic non-locality is presented. The considerations include the review of competitive formulations available in literature.
Sumelka, Wojciech
core   +1 more source

A Peridynamic Framework for Modeling Progressive Failure in Porous Sandstone Indentation

International Journal for Numerical and Analytical Methods in Geomechanics, EarlyView.
ABSTRACT A state‐based peridynamic model is proposed to simulate the failure mechanisms in porous rocks, using Bentheim sandstone as a specific example. Experimental observations reveal a transition from brittle to ductile failure under increasing triaxial compression. This behavior is attributed to pore compaction. The peridynamic model is enhanced to
Sahir N. Butt, Jörg Renner, Günther Meschke   +2 more
wiley   +1 more source

Capturing Complex Rate‐Dependent Behaviors of Saturated Clays: A Fractional Consistency Kinematic Hardening Viscoplastic Approach

International Journal for Numerical and Analytical Methods in Geomechanics, EarlyView.
ABSTRACT Saturated high plasticity clays show complex nonlinear, rate‐dependent, and hysteresis behaviors under non‐monotonic stress paths, requiring advanced mathematical constitutive equations for accurate description. Taking into account the inherent advantages of kinematic hardening mechanisms in simulating complex stress histories, this paper ...
Wei Cheng, Zhen‐Yu Yin
wiley   +1 more source

Buckling Analysis of Embedded Nanosize FG Beams Based on a Refined Hyperbolic Shear Deformation Theory [PDF]

Journal of Applied and Computational Mechanics, 2018
In this study, the mechanical buckling response of refined hyperbolic shear deformable (FG) functionally graded nanobeams embedded in an elastic foundation is investigated based on the refined hyperbolic shear deformation theory.
Aicha Bessaim, Mohammed Sid Ahmed Houari, Bousahla Abdelmoumen Anis, Abdelhakim Kaci, Abdelouahed Tounsi, El Abbes Adda Bedia   +5 more
doaj   +1 more source

Free vibration analysis of multi-cracked nanobeam using nonlocal elasticity theory

ZANCO JOURNAL OF PURE AND APPLIED SCIENCES, 2020
The aim of this paper is to study the free lateral vibration of multi-cracked nanobeams, and consequently finding the natural frequencies of the cracked nanobeams using two methods. The model of the beam is Euler-Bernoulli in which shear effect has been neglected. Crack is assumed to divide the beam into two segments and these segments are connected to
Nazhad Ahmad hussein, Hardi A. M. Rasul, Sardar S. Abdullah   +2 more
openaire   +4 more sources

Configurational Energy as a Microstructural Descriptor of Failure Precursors in 2D Frictional Granular Materials

International Journal for Numerical and Analytical Methods in Geomechanics, Volume 50, Issue 5, Page 2470-2485, 10 April 2026.
ABSTRACT Localized deformation in dense granular materials, often culminating in the formation of shear bands, is a key failure mechanism in geotechnical and material systems. However, predicting the onset of such localization remains a fundamental challenge due to the system's inherent inelasticity and microstructural complexity.
Zhennan Zhu, Francois Nicot, Antoine Wautier, Klaus Regenauer‐lieb, Manman Hu   +4 more
wiley   +1 more source

Axial load induced vibrational changes in nonlocal stress-driven beams

Applications in Engineering Science
This research examines the impact of axial load on the vibrational properties of nonlocal nanobeams. The theory of stress-driven nonlocal elasticity is utilized to characterize the response of the beam, integrating the influence of axial loads as a ...
Indronil Devnath, Mohammad Nazmul Islam
doaj   +1 more source

Influence of flexoelectric, small-scale, surface and residual stress on the nonlinear vibration of sigmoid, exponential and power-law FG Timoshenko nano-beams

Journal of Low Frequency Noise, Vibration and Active Control, 2019
This research deals with the nonlinear vibration of the functionally graded nano-beams based on the nonlocal elasticity theory considering surface and flexoelectric effects.
Mohammad Arefi, Mahmoud Pourjamshidian, Ali Ghorbanpour Arani, Timon Rabczuk   +3 more
doaj   +1 more source

Influence of Variable Nonlocal Parameter and Porosity on the Free Vibration Behavior of Functionally Graded Nanoplates

Shock and Vibration, 2021
This paper studies the influence of the variable nonlocal parameter and porosity on the free vibration behavior of the functionally graded nanoplates with porosity.
Pham Van Vinh, Le Quang Huy
doaj   +1 more source

Exact determination of the volume of an inclusion in a body having constant shear modulus

, 2014
We derive an exact formula for the volume fraction of an inclusion in a body when the inclusion and the body are linearly elastic materials with the same shear modulus.
Milton, Graeme W., Thaler, Andrew E.
core   +1 more source