Elastic foundation

The aim of this work isto present a semi-analytical approach that combines the third-order shear deformation theory with von Kármán's geometric nonlinearity for fully simply supported composite plates reinforced by aligned CNTs resting on an elastic foundation.

18p viambani 18-06-2024 1 1   Download

This paper investigates the nonlinear vibration of saturated porous functionally graded plate subjected to the combination of mechanical and thermal loadings. Three different distributions of porosity are considered. Based on the Biot and higher order shear deformation theories, the vibration characteristics including natural frequency, deflection amplitude – time curves and relation between frequency ratio and amplitude of the saturated porous plate are determined.

13p viambani 18-06-2024 1 1   Download

Part 2 of ebook "Elastic solutions for soil and rock mechanics" provides readers with contents including: Chapter 9 - Stresses and displacements in a non-homogeneous elastic mass; Chapter 10 - Stresses and displacements in embankhents and slopes; Chapter 11 - Stresses and displacements around underground openings; Chapter 12 - Raft foundations; Chapter 13 - Axially loaded piles; Chapter 14 - Piles subjected to lateral load and moment; Chapter 15 - Miscellaneous problems;...

219p giangdongdinh 28-05-2024 1 1   Download

This paper represents the nonlinear bending analysis of a functionally graded porous (FGP) micro-plate resting on an elastic foundation through the modified couple stress theory and the Kirchhoff plate theory (KPT) together with the von-Kármán’s geometrical nonlinearity. The FGP micro-plate with even and uneven distributions of porosities are considered. Analytical solutions for the nonlinear bending is obtained.

11p dathienlang1012 03-05-2024 0 0   Download

The paper "Static bending analysis of FGM stiffened plate resting on discontinuous elastic foundation" uses the finite element method to study the static bending response of stiffened FGM plates resting on a discontinuous elastic foundation. The structure is computed using the first-order shear deformation theory coupled with the four-node and two-node quadrilateral elements.

7p dathienlang1012 03-05-2024 1 0   Download

The paper "Continuous Element formulations for free vibration of FGM annular plates resting on elastic foundation" introduces an efficient approach for analyzing the vibration of functionally graded annular plates resting on elastic foundation. The Continuous Element for annular plates on Winkler-Pasternak foundation is constructed based on the analytical closed form solution of the differential equations of the investigated structure.

8p dathienlang1012 03-05-2024 1 0   Download

This article investigates the free vibration of the porous metal foam plates resting on an elastic foundation based on the isogeometric approach (IGA). The elastic foundation is modeled as a two-parameter of Winkler and Pasternak foundations. The pores are assumed to vary through the thickness direction in three types: uniform, symmetric and asymmetric distributions.

11p dathienlang1012 03-05-2024 2 0   Download

This work uses the finite element method for the first time to simulate the dynamic response of nanoplates resting on a two-parameter elastic foundation under the flexoelectric effect. The calculation formulas are derived from the new type of the shear deformation theory, which is a simple shear deformation theory.

8p dathienlang1012 03-05-2024 1 0   Download

A new continuous element (CE) formulation has been presented in this paper for the vibration analysis of FGM joined conical-cylindrical shells surrounded by Pasternak elastic foundations. The differential equations of FGM conical shells are used including FGM cylindrical shells as a special case. Governing equations are obtained using thick shell theory of Reissner, taking into account the shear deflection effects.

10p dathienlang1012 03-05-2024 3 0   Download

The article "Static behavior of FGP half-annular nanoplates resting on elastic foundation using nonlocal elasticity theory" presents an algorithm finite element for static bending analysis of the functionally graded porous (FGP) half-annular nanoplate resting on the elastic foundation (EF) using nonlocal elasticity theory. The FGP materials with two-parameter are the volume fraction index (k) and the porosity volume fraction (5) in two cases of even and uneven porosity. The EF includes Winkler-stiffness (k₁) and Pasternak- stiffness (k₂).

9p dathienlang1012 03-05-2024 4 0   Download

The paper "Nonlinear vibration of functionally graded porous micro-beams resting on elastic foundation" presents the analysis of nonlinear vibration of functionally graded porous (FGP) micro-beams resting on an elastic foundation. The Euler-Bernoulli beam theory (EBT) and the nonlocal strain gradient theory (NSGT) are considered to establish the equations of motion of the micro-beam. The material properties of the micro-beam are assumed to be changed continuously along thickness direction according to simple power-law distribution.

9p dathienlang1012 03-05-2024 1 0   Download

In the paper "Thermal buckling of P-FGM sandwich beam with porous core on elastic foundation", a coupled effect of thermal and electrical loadings on the thermal buckling behavior of functionally graded material (FGM) sandwich beam resting on Pasternak foundation is investigated. The symmetric multi-layered beam consists of a foam core, two middle FGM layers, and two outer piezoelectric layers. It is assumed that the beam is subjected to a constant voltage and a uniform/linear temperature rise.

10p dathienlang1012 03-05-2024 1 0   Download

The paper "Dynamic response analysis of nanobeams resting on elastic foundations" uses the finite element method to study the dynamic response of nanobeams resting on an elastic foundation, taking into account the flexoelectricity effect. Timoshenko's first-order shear deformation theory is used to derive the formulations of the beam's forced vibration equation. The proposed theory and mechanical model are verified by comparing the numerical results of this work with those of the published data.

8p dathienlang1012 03-05-2024 3 0   Download

Part 1 book "Foundations of geometric continuum mechanics" includes content: The elasticity problem; symmetry and dynamics, banachable spaces of sections of vector bundles over compact manifolds; manifolds of sections and embeddings; the general framework for global analytic stress theory; dual spaces corresponding to spaces of differentiable sections of a vector bundle - localization of sections and functionals; de rham currents; interlude - singular distributions of defects in bodies, vector valued currents; the representation of forces by stresses and hyperstresses,.... and other contents.

410p dianmotminh01 14-05-2024 3 0   Download

The main aim of this paper is to investigate the nonlinear buckling and postbuckling of eccentrically stiffened sandwich functionally graded porous (FGP) cylindrical shells surrounded by elastic foundations in thermal environments and under torsional load by analytical approach in terms of the displacement components.

13p dianmotminh02 03-05-2024 4 1   Download

In this work, the free vibration analysis of Timoshenko microbeams made of the Functionally Graded Material (FGM) on the Winkler–Paternak elastic foundation based on the Modified Coupled Stress Theory (MCST) is investigated. Material characteristics of the beam vary throughout the thickness according to the power distribution and are estimated though Mori–Tanaka, Hashin–Shtrikman and Voigt homogenization techniques.

13p dianmotminh02 03-05-2024 7 2   Download

Nowadays, in Vietnam as in the world, traditional building materials are increasingly scarce while industrial waste is produced more and more. In this paper, the author uses steel slag, a byproduct of steelmaking processes, for replacing crushed aggregate in base or subbase course. Steel slag-stone dust aggregate (70% steel slag and 30% stone dust) are treated with a cement content of 4%- 8%.

16p viohoyo 25-04-2024 4 1   Download

The pontoon-separate floating bridges have many advantages to apply to the construction of civil floating bridges in Vietnam. This article presents the study of the influence of beam stiffness on the force transmission of concentrated load to the pontoon and the bending moment in the beam caused by this load, as a basis for designing civil poonton bridge to carry loads for small tonnage motor vehicles serving rural traffic.

11p vigojek 02-02-2024 4 1   Download

Part 1 book "Foundations of mechanics of materials (Part 1)" includes content: Basic information on mechanics; basic information on mechanics of materials, theory of elasticity, short description of linear theory of elasticity; some additional fundamental facts from the linear theory of elasticity; short description of nonlinear theory of elasticity; short description of linearized theory of elasticity.

117p muasambanhan06 01-02-2024 6 2   Download

Part 2 book "Foundations of mechanics of materials (Part 1)" includes content: Short description of strength of materials; focus on composite materials - Different models of elastic deformation; focus on composite materials - structural model of elastic mixtures; focus on new materials nanomechanics of materials; focus on new materials - mechanics of auxetic materials.

159p muasambanhan06 01-02-2024 6 2   Download