24 citations · 118 across the 19 of their papers we have counts for
20 papers
Character of couple and couple-stress in continuum mechanics
Ali R. Hadjesfandiari
In this paper, the concept of moment and couple in mechanics is examined from a fundamental perspective. It turns out that although representing a couple by its moment vector is ve…
Variational principles and finite element Bloch analysis in couple stress elastodynamics
Nicolás Guarín-Zapata, Juan Gomez, Ali Reza Hadjesfandiari +1
We address the numerical simulation of periodic solids (phononic crystals) within the framework of couple stress elasticity. The additional terms in the elastic potential energy le…
Finite element modeling of micropolar-based phononic crystals
Nicolás Guarín-Zapata, Juan Gomez, Camilo Valencia +2
The performance of a Cosserat/micropolar solid as a numerical vehicle to represent dispersive media is explored. The study is conducted using the finite element method with emphasi…
An assessment of higher gradient theories from a continuum mechanics perspective
Ali R. Hadjesfandiari, Gary F. Dargush
In this paper, we investigate the inherent physical and mathematical character of higher gradient theories, in which the strain or distortion gradients are considered as the fundam…
Fundamental governing equations of motion in consistent continuum mechanics
Ali R. Hadjesfandiari, Gary F. Dargush
We investigate the consistency of the fundamental governing equations of motion in continuum mechanics. In the first step, we examine the governing equations for a system of partic…
Consistent continuous defect theory
Ali R. Hadjesfandiari, Gary F. Dargush
By investigating the benefits and shortcomings of the existing form of continuous defect theory (CDT) and using recent advancements in size-dependent continuum mechanics, we develo…
Size-dependent couple stress Timoshenko beam theory
Ali R. Hadjesfandiari, Arezoo Hajesfandiari, Haoyu Zhang +1
In this paper, a new size-dependent Timoshenko beam model is developed based on the consistent couple stress theory. In the present formulation, the governing equations and corresp…
Integral representation for three-dimensional steady state size-dependent thermoelasticity
Ali R. Hadjesfandiari, Arezoo Hajesfandiari, Gary F. Dargush
Boundary element methods provide powerful techniques for the analysis of problems involving coupled multi-physical response, especially in the linear case for which boundary-only f…
Couple stress theories: Theoretical underpinnings and practical aspects from a new energy perspective
Ali R. Hadjesfandiari, Gary F. Dargush
In this paper, we examine theoretical and practical aspects of several versions of couple stress theory. This includes indeterminate Mindlin-Tiersten-Koiter couple stress theory (M…
Pure plate bending in couple stress theories
Ali R. Hadjesfandiari, Arezoo Hajesfandiari, Gary F. Dargush
In this paper, we examine the pure bending of plates within the framework of modified couple stress theory (M-CST) and consistent couple stress theory (C-CST). In this development,…
Comparison of theoretical elastic couple stress predictions with physical experiments for pure torsion
Ali R. Hadjesfandiari, Gary F. Dargush
Several different versions of couple stress theory have appeared in the literature, including the indeterminate Mindlin-Tiersten-Koiter couple stress theory (MTK-CST), indeterminat…
Cubic Single Crystal Representations in Classical and Size-dependent Couple Stress Elasticity
Dipanshu Bansal, Gary F. Dargush, Amjad J. Aref +1
Beginning with Cosserat theory in the early 20th century, there have been several different formulations for size-dependent elastic response. In this paper, we concentrate on the a…
Foundations of consistent couple stress theory
Ali R. Hadjesfandiari, Gary F. Dargush
In this paper, we examine the recently developed skew-symmetric couple stress theory and demonstrate its inner consistency, natural simplicity and fundamental connection to classic…
Evolution of generalized couple-stress continuum theories: a critical analysis
Ali R. Hadjesfandiari, Gary F. Dargush
In this paper, we examine different generalized couple-stress continuum mechanics theories, including couple stress, strain gradient and micropolar theories. First, we investigate…
Size-dependent theories of piezoelectricity: Comparisons and further developments for centrosymmetric dielectrics
Ali R. Hadjesfandiari
Here the recently developed size-dependent piezoelectricity and the strain gradient theory of flexoelectricity are compared. In the course of this investigation, the strain gradien…
On the skew-symmetric character of the couple-stress tensor
Ali R. Hadjesfandiari
In this paper, the skew-symmetric character of the couple-stress tensor is established as the result of arguments from tensor analysis. Consequently, the couple-stress pseudo-tenso…
Size-dependent piezoelectricity
Ali R. Hadjesfandiari
In this paper, a consistent theory is developed for size-dependent piezoelectricity in dielectric solids. This theory shows that electric polarization can be generated as the resul…
Polar continuum mechanics
Ali R. Hadjesfandiari, Gary F. Dargush
The existing polar continuum theory contains unresolved indeterminacies in the spherical part of the couple-stress tensor. This severely restricts its applicability in the study of…
Analysis of bi-material interface cracks with complex weighting functions and non-standard quadrature
Ali R. Hadjesfandiari, Gary F. Dargush
A boundary element formulation is developed to determine the complex stress intensity factors associated with cracks on the interface between dissimilar materials. This represents…
Field of the Magnetic Monopole
A. R. Hadjesfandiari
This paper shows that based upon the Helmholtz decomposition theorem the field of a stationary magnetic monopole, assuming it exists, cannot be represented by a vector potential. P…