Submissions from 2020
Timoshenko, Stepan Prokofievitch, Isaac Elishakoff
Who developed the so-called Timoshenko beam theory?, Isaac Elishakoff
Generalization of Eringen's result for random response of a beam on elastic foundation, Isaac Elishakoff, Antoine Ajenjo, and David Livshits
Rigorous implementation of the Galerkin method for uniform and stepped columns, Isaac Elishakoff and Damien Boutur
Random Response of Multi-Segment Beam May Exceed Response of Homogeneous Counterparts by Order of Magnitude, T. Fang, Isaac Elishakoff, and C. Jiang
The Experimental Contribution of Petrus Van Musschenbroek to the Discovery of a Buckling Formula in the Early 18th Century, Luis A. Godoy and Isaac Elishakoff
Reconstructing flexural stiffness of symmetric simply supported beams using the high-order mode, Min He, Lihua Zhang, Qi shen Wang, and Isaac Elishakoff
A combined Importance Sampling and active learning Kriging reliability method for small failure probability with random and correlated interval variables, Xiao Xiao Liu and Isaac Elishakoff
Novel interval model applied to derived variables in static and structural problems, Evgenija D. Popova and Isaac Elishakoff
Stationary response probability density of nonlinear random vibrating systems: a data-driven method, Yanping Tian, Yong Wang, Hanqing Jiang, Zhilong Huang, Isaac Elishakoff, and Guoqiang Cai
STRESS MINIMIZATION AROUND A HOLE WITH A STOCHASTICALLY SIMULATED MICRO-ROUGH EDGE IN A LOADED ELASTIC PLATE, Shmuel Vigdergauz and Isaac Elishakoff
Stress-minimizing holes with a given surface roughness in a remotely loaded elastic plane, Shmuel Vigdergauz and Isaac Elishakoff
Probabilistic and deterministic lower-bound design benchmarks for cylindrical shells under axial compression, H. N.R. Wagner, C. Hühne, and Isaac Elishakoff
Novel modification to the timoshenko–ehrenfest theory for inhomogeneous and nonuniform beams, Jianghong Yuan, Zhuangzhuang Mu, and Isaac Elishakoff
Reconstructing the Mass Distribution Function of a Two-Span Beam with an Overhang via the Fundamental Mode, Li Hua Zhang, Min He, Qi Shen Wang, and Isaac Elishakoff
Submissions from 2019
The hypothesis of equal wave speeds for stabilization of Timoshenko beam is not necessary anymore: The time delay cases, Júnior S. Almeida, Isaac Elishakoff, A. J.A. Ramos, and L. G. Rosário Miranda
A brief history of first-order shear-deformable beam and plate models, Noël Challamel and Isaac Elishakoff
Handbook on Timoshenko-Ehrenfest Beam and Uflyand-Mindlin Plate Theories, Isaac Elishakoff
JP Den Hartog about SP Timoshenko: Fifty Years Later, Isaac Elishakoff
Stepan Prokofievich Timoshenko and America, Isaac Elishakoff
Closed-form random vibration response for columns on elastic foundation and subjected to axial force, Isaac Elishakoff and Antoine Ajenjo
Rigorous versus naïve implementation of the Galerkin method for stepped beams, Isaac Elishakoff, Arvan Prakash Ankitha, and Alessandro Marzani
Critical comparison of bresse-timoshenko beam theories for parametric instability in the presence of pulsating load, Isaac Elishakoff, Florian Hache, and Noël Challamel
Shear deformable rod theories and fundamental principles of mechanics, Dario Genovese and Isaac Elishakoff
Asymptotic derivation of nonlocal plate models from three-dimensional stress gradient elasticity, F. Hache, N. Challamel, and Isaac Elishakoff
Asymptotic derivation of nonlocal beam models from two-dimensional nonlocal elasticity, Florian Hache, Noël Challamel, and Isaac Elishakoff
Seismic risk analysis for reinforced concrete structures with both random and parallelepiped convex variables, Xiao Xiao Liu and Isaac Elishakoff
Energy-maximizing holes in an elastic plate under remote loading, Shmuel Vigdergauz and Isaac Elishakoff
Submissions from 2018
Statics and dynamics of nanorods embedded in an elastic medium: Nonlocal elasticity and lattice formulations, Noël Challamel, Metin Aydogdu, and Isaac Elishakoff
New closed-form solutions for functionally graded longitudinally vibrating bar, Isaac Elishakoff, Hailey Armstrong, and Javad Hashemi
Variational derivation of governing differential equations for truncated version of Bresse-Timoshenko beams, Isaac Elishakoff, F. Hache, and N. Challamel
Comparison of refined beam theories for parametric instability, Isaac Elishakoff, Florian Hache, and Noel Challamel
Effect of boundary conditions in three alternative models of Timoshenko–Ehrenfest beams on Winkler elastic foundation, Isaac Elishakoff, Giulio Maria Tonzani, and Alessandro Marzani
Three alternative versions of Bresse–Timoshenko theory for beam on pure Pasternak foundation, Isaac Elishakoff, Giulio Maria Tonzani, and Alessandro Marzani
Contrasting three alternative versions of Timoshenko-Ehrenfest theory for beam on Winkler elastic foundation – simply supported beam, Isaac Elishakoff, Giulio Maria Tonzani, Nicolò Zaza, and Alessandro Marzani
Lattice and continualized models for the buckling study of nonlocal rectangular thick plates including shear effects, F. Hache, N. Challamel, and Isaac Elishakoff
Nonlocal Approaches for the Vibration of Lattice Plates Including Both Shear and Bending Interactions, F. Hache, N. Challamel, and Isaac Elishakoff
Critical comparison of exact solutions in random vibration of beams using three versions of Bresse–Timoshenko theory, F. Hache, Isaac Elishakoff, and N. Challamel
Suitable radial grading may considerably increase buckling loads of FGM circular plates, G. Ruta and Isaac Elishakoff
Random eigenvalue characterization for free vibration of axially loaded Euler-Bernoulli beams, Korak Sarkar, Ranjan Ganguli, Debraj Ghosh, and Isaac Elishakoff
Slope-inertia model of non-uniform and inhomogeneous Bresse-Timoshenko beams, K. Srivatsa Bhat, Korak Sarkar, Ranjan Ganguli, and Isaac Elishakoff
Buckling of axially graded columns: A fifth-order polynomial mode shape, Joel Storch and Isaac Elishakoff
Submissions from 2017
Generalization of Seide’s problem by the regulated stochastic linearization technique, N. D. Anh, Isaac Elishakoff, and N. N. Hieu
A general way of obtaining novel closed-form solutions for functionally graded columns, Moshe Eisenberger and Isaac Elishakoff
Problems Book for Probabilistic Methods for the Theory of Structures with Complete Worked through Solutions, Isaac Elishakoff
Sixty years of stochastic linearization technique, Isaac Elishakoff and Stephen H. Crandall
Vibrations of asymptotically and variationally based Uflyand–Mindlin plate models, Isaac Elishakoff, F. Hache, and N. Challamel
Critical contrasting of three versions of vibrating Bresse–Timoshenko beam with a crack, Isaac Elishakoff, Florian Hache, and Noël Challamel
Dynamic analysis of Bernoulli-Euler beams with interval uncertainties under moving loads, Filippo Giunta, Giuseppe Muscolino, Alba Sofi, and Isaac Elishakoff
Comparison of nonlocal continualization schemes for lattice beams and plates, F. Hache, N. Challamel, Isaac Elishakoff, and C. M. Wang
Free vibration analysis of plates taking into account rotary inertia and shear deformation via three alternative theories: a Lévy-type solution, F. Hache, Isaac Elishakoff, and N. Challamel
Vibration of functionally graded rotating beams including the effects of nonlocal elasticity, Joel Storch and Isaac Elishakoff
Submissions from 2016
Buckling and vibrations of microstructured rectangular plates considering phenomenological and lattice-based nonlocal continuum models, N. Challamel, F. Hache, Isaac Elishakoff, and C. M. Wang
Nonlocal or gradient elasticity macroscopic models: A question of concentrated or distributed microstructure, N. Challamel, C. M. Wang, and Isaac Elishakoff
Buckling and Vibration of Functionally Graded Material Columns Sharing Duncan's Mode Shape, and New Cases, Isaac Elishakoff, Moshe Eisenberger, and Axel Delmas
Generalized Galileo Galilei problem in interval setting for functionally related loads, Isaac Elishakoff, Stefano Gabriele, and Yan Wang
Uncertainty quantification based on pillars of experiment, theory, and computation. Part I: Data analysis, Isaac Elishakoff and N. Sarlin
Uncertainty quantification based on pillars of experiment, theory, and computation. Part II: Theory and computation, Isaac Elishakoff and N. Sarlin
Generalization of the super ellipsoid concept and its application in mechanics, B. Y. Ni, Isaac Elishakoff, C. Jiang, C. M. Fu, and X. Han
Closed-form solutions for non-uniform axially loaded Rayleigh cantilever beams, Korak Sarkar, Ranjan Ganguli, and Isaac Elishakoff
Closed-form solutions and uncertainty quantification for gravity-loaded beams, Korak Sarkar, Ranjan Ganguli, Debraj Ghosh, and Isaac Elishakoff
Submissions from 2015
Intricate interrelation between robustness and probability in the context of structural optimization, Oded Amir and Isaac Elishakoff
Revisiting finite difference and finite element methods applied to structural mechanics within enriched continua, Noël Challamel, Vincent Picandet, Bernard Collet, Thomas Michelitsch, Isaac Elishakoff, and C. M. Wang
On Nonlocal Computation of Eigenfrequencies of Beams Using Finite Difference and Finite Element Methods, Noël Challamel, Vincent Picandet, Isaac Elishakoff, Chien Ming Wang, Bernard Collet, and Thomas Michelitsch
A contribution to the stability of an overhanging pipe conveying fluid, Maria Laura De Bellis, Giuseppe C. Ruta, and Isaac Elishakoff
Exact enclosures of roots of interval quadratic equations by Sridhara's and Fagnano's or modified Fagnano's formulas, Isaac Elishakoff and A. Daphnis
Comparison of uncertainty analyses for crankshaft applications, Isaac Elishakoff, C. M. Fu, C. Jiang, B. Y. Ni, X. Han, and G. S. Chen
Celebrating the Centenary of Timoshenko's Study of Effects of Shear Deformation and Rotary Inertia, Isaac Elishakoff, Julius Kaplunov, and Evgeniya Nolde
Mechanics of functionally graded material structures, Isaac Elishakoff, Demetris Pentaras, and Cristina Gentilini
Erratum: Apparently first closed-form solution for vibration of functionally graded rotating beams (AIAA Journal (2014) 52:11 (2587-2593)), Isaac Elishakoff, N. Zaza, J. Curtin, and J. Hashemi
Optimization and anti-optimization solution of combined parameterized and improved interval analyses for structures with uncertainties, R. Santoro, G. Muscolino, and Isaac Elishakoff
Guest editorial: Special section on nonprobabilistic approaches for handling uncertainty in engineering, Alba Sofi, Giuseppe Muscolino, and Isaac Elishakoff
Special issue on nonprobabilistic treatments of uncertainty: Recent developments, Alba Sofi, Giuseppe Muscolino, and Isaac Elishakoff
Natural frequencies of structures with interval parameters, A. Sofi, G. Muscolino, and Isaac Elishakoff
Static response bounds of Timoshenko beams with spatially varying interval uncertainties, A. Sofi, G. Muscolino, and Isaac Elishakoff
Submissions from 2014
Extension of the regulated stochastic linearization to beam vibrations, N. D. Anh, Isaac Elishakoff, and N. N. Hieu
On the vibration of nanorods restrained by a linear spring in-span, Metin Aydogdu and Isaac Elishakoff
Discrete systems behave as nonlocal structural elements: Bending, buckling and vibration analysis, N. Challamel, C. M. Wang, and Isaac Elishakoff
Dramatic effect of the utilized theory on frequency distribution function of carbon nanotubes, Isaac Elishakoff, Yannis Bekel, and Thomas Gomez
Dramatic effect of cross-correlations in random vibration of point-driven spherically curved panel, Isaac Elishakoff and Baptiste Ducreux
Hybrid optimization and anti-optimization of a stochastically excited beam, Isaac Elishakoff, Kévin Dujat, Maurice Lemaire, and Guy Gadiot
Interval, ellipsoidal, and super-ellipsoidal calculi for experimental and theoretical treatment of uncertainty: Which one ought to be preferred?, Isaac Elishakoff and F. Elettro
Discussion: "Dynamic stability of periodic pipes conveying fluid" (Yu, D. L., Pädoussis, M. P., Shen, H. J., and Wan, L., 2013, ASME J. Appl. Mech., 81, p. 011008), Isaac Elishakoff, Alessandro Marzani, and Marco Miniaci
Random vibration of a point-driven two-span beam on an elastic foundation, Isaac Elishakoff and Roberta Santoro
Overcoming overestimation characteristic to classical interval analysis, Isaac Elishakoff and K. Thakkar
Apparently first closed-form solution for vibration of functionally graded rotating beams, Isaac Elishakoff, N. Zaza, J. Curtin, and J. Hashemi
A new locking-free finite element method based on more consistent version of Mindlin plate equation, G. Falsone, D. Settineri, and Isaac Elishakoff
Notes on random vibration of a vehicle model and other discrete systems possessing repeated natural frequencies, X. Y. Long, Isaac Elishakoff, C. Jiang, X. Han, and J. Hashemi
Design of axially graded columns under a central force, Roberta Santoro and Isaac Elishakoff
Closed-form solutions for rotating cantilever non-uniform Rayleigh beams, Korak Sarkar, Ranjan Ganguli, and Isaac Elishakoff
Static Analysis of Timoshenko Beams with Interval Young's Modulus, A. Sofi, G. Muscolino, and Isaac Elishakoff
Obtaining Eringens length scale coefficient for vibrating nonlocal beams via continualization method, Zhen Zhang, C. M. Wang, Noël Challamel, and Isaac Elishakoff
Submissions from 2013
A note on semi-inverse method for buckling of axially functionally graded beams, Metin Aydogdu, György Maróti, and Isaac Elishakoff
Static analysis of functionally graded plates using a nodal integrated finite element approach, G. Castellazzi, C. Gentilini, P. Krysl, and Isaac Elishakoff
A celebration of mechanics: From nano to macro. The J. Michael T. Thompson Festschrift issue, Isaac Elishakoff
Whys and hows of the parameterized interval analyses: A guide for the perplexed, Isaac Elishakoff
Modified Monte Carlo method for buckling analysis of nonlinear imperfect structures, Isaac Elishakoff and E. Archaud
Application of lamé's super ellipsoids to model initial imperfections, Isaac Elishakoff and Yannis Bekel
Buckling of a clamped-free double-walled carbon nanotube by the bubnov-galerkin method, Isaac Elishakoff and Simon Bucas
Virus sensor based on single-walled carbon nanotube: Improved theory incorporating surface effects, Isaac Elishakoff, Noël Challamel, Clément Soret, Yannis Bekel, and Thomas Gomez