Nonlinear elasticity
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This study proposes a constitutive mechanical law to model the behavior of the interface between a microcracked viscoelastic medium and an undamaged elastic body based on the homogenization method. The interface is modeled by a layer of zero thickness. The coupling between the homogenization technique and the Griffith’s theory is used to provide the effective behavior of the micro-cracked medium.
15p vithomson 02-07-2024 2 0 Download
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In this study two types of MEE plates, namely BaTiO3 and CoFe2O4 were considered. The basic equations are derived using classical plate theory with nonlocal stress theory and are solved using the Galerkin method and Runge-Kutta method.
13p viambani 18-06-2024 1 1 Download
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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
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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 3 1 Download
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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 1 0 Download
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his paper investigates the nonlinear vibration of imperfect smart sandwich plate which consists of an auxetic graphene reinforced metal matrix composite (GRRMC) core layer integrated with two magneto-electro-elastic face sheets. The Poisson’s ratio of the GRMMC core is negative while the material properties of magneto-electro-elastic face sheets depend on the volume fraction of piezoelectric and piezomagnetic phases.
10p dathienlang1012 03-05-2024 1 0 Download
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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
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The paper "Nonlinear finite element approach for contact problems in hyper-elastic models" considers the contact problems between hyper-elastic bodies by using finite element analysis (FEA). In this study, high-order elements is used with its advantages such as less element usage, more accurate results and geometrical flexibility... The contribution of this paper is development of programs that can calculate and simulate the specific contact problem between hyper-elastic bodies.
10p dathienlang1012 03-05-2024 1 0 Download
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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
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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 7 2 Download
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Ebook "Rheology: Principles, measurements, and applications" presents an extremely practical, timely, and accessible three-dimensional account of the subject. It has been specifically designed to enable researchers to understand and apply information from the latest rheological literature to their own operations. Worked examples and exercises with solutions make it ideal for self-study.
578p loivantrinh 29-10-2023 5 2 Download
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Ebook "Viscoelastic properties of polymers" provides basic information for practical applications, and graduate students in chemistry and engineering will find, in its illustrations with real data and real numbers, an accessible introduction to the principles of viscoelasticity. Viscoelastic behavior reflects the combined viscous and elastic responses, under mechanical stress, of materials which are intermediate between liquids and solids in character.
662p loivantrinh 29-10-2023 2 2 Download
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This paper presents and analyzes the nonlinear buckling responses of cylindrical and sinusoid Functionally graded graphene platelet reinforced composite (FG-GPLRC) panels under axial compressive load. The higherorder shear deformation theory is applied to establish the governing equations of structures.
10p visharma 20-10-2023 7 4 Download
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This paper analyses free vibrations of framed nanostructures made of Functionally Graded Material (FGM) based on the Nonlocal Elastic Theory (NET) and the Dynamic Stiffness Method (DSM). FGM characteristics vary nonlinearly throughout the height of the beam element.
19p viisac 15-09-2023 11 3 Download
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In the numerical results, the influence of length to width ratio, imperfection, elastic foundations and temperature increment were evaluated in detail. The optimal results from DE algorithm are shown and compared.
17p viberkshire 09-08-2023 8 4 Download
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Paper "Numerical homogenization technique for a strain-limiting nonlinear elasticity model" describe a numerical homogenization technique for a two-dimensional nonlinear equation emerging from strainlimiting elasticity.
3p nhanchienthien 25-07-2023 5 3 Download
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Multiscale model reduction approach for a nonlinear equation arising from elasticity - We present a multiscale model reduction framework utilizing generalized multiscale finite element method, for a twodimensional nonlinear equation emerging from strain-limiting elasticity.
5p nhanchienthien 25-07-2023 6 4 Download
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This paper deals with the nonlinear buckling and post-buckling of sandwich cylindrical panels with non-uniform porous core and functionally graded face sheets. The imperfect sandwich cylindrical panels are subjected to axial loading on elastic foundation.
12p viwolverine 11-07-2023 5 2 Download
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An analytical investigation on the nonlinear response of doubly curved panels constructed from homogeneous face sheets and carbon nanotube reinforced composite (CNTRC) core and subjected to external pressure in thermal environments is presented in this paper. Carbon nanotubes (CNTs) are reinforced into the core layer through uniform or functionally graded distributions.
14p viwolverine 11-07-2023 6 2 Download
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This paper aims to analyze the free and forced vibrations of the twostorey building frame with cracks. The two-storey frame system with cracks is modelled when many constituent parameters existed such as crack depth, crack location, flexural stiffness and elastic force which were involved by a nonlinear function.
8p viironman 02-06-2023 8 2 Download