Готові списки джерел за темами / Gradient of elasticity

Добірка наукової літератури з теми "Gradient of elasticity"

Автор: Grafiati
Опубліковано: 24 червня 2022

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Статті в журналах з теми "Gradient of elasticity":

1

Askes, Harm, and Miguel A. Gutiérrez. "Implicit gradient elasticity." International Journal for Numerical Methods in Engineering 67, no. 3 (2006): 400–416. http://dx.doi.org/10.1002/nme.1640.

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2

Tarasov, Vasily E., and Elias C. Aifantis. "Toward fractional gradient elasticity." Journal of the Mechanical Behavior of Materials 23, no. 1-2 (May 1, 2014): 41–46. http://dx.doi.org/10.1515/jmbm-2014-0006.

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AbstractThe use of an extension of gradient elasticity through the inclusion of spatial derivatives of fractional order to describe the power law type of non-locality is discussed. Two phenomenological possibilities are explored. The first is based on the Caputo fractional derivatives in one dimension. The second involves the Riesz fractional derivative in three dimensions. Explicit solutions of the corresponding fractional differential equations are obtained in both cases. In the first case, stress equilibrium in a Caputo elastic bar requires the existence of a nonzero internal body force to equilibrate it. In the second case, in a Riesz-type gradient elastic continuum under the action of a point load, the displacement may or may not be singular depending on the order of the fractional derivative assumed.
3

Lurie, Sergey A., Alexander L. Kalamkarov, Yury O. Solyaev, and Alexander V. Volkov. "Dilatation gradient elasticity theory." European Journal of Mechanics - A/Solids 88 (July 2021): 104258. http://dx.doi.org/10.1016/j.euromechsol.2021.104258.

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4

Lazar, Markus. "On gradient field theories: gradient magnetostatics and gradient elasticity." Philosophical Magazine 94, no. 25 (July 11, 2014): 2840–74. http://dx.doi.org/10.1080/14786435.2014.935512.

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5

Gutkin, M. Yu, and E. C. Aifantis. "Edge dislocation in gradient elasticity." Scripta Materialia 36, no. 1 (January 1997): 129–35. http://dx.doi.org/10.1016/s1359-6462(96)00352-1.

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6

Lazar, Markus, and Gérard A. Maugin. "Dislocations in gradient elasticity revisited." Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 462, no. 2075 (June 6, 2006): 3465–80. http://dx.doi.org/10.1098/rspa.2006.1699.

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In this paper, we consider dislocations in the framework of first as well as second gradient theory of elasticity. Using the Fourier transform, rigorous analytical solutions of the two-dimensional bi-Helmholtz and Helmholtz equations are derived in closed form for the displacement, elastic distortion, plastic distortion and dislocation density of screw and edge dislocations. In our framework, it was not necessary to use boundary conditions to fix constants of the solutions. The discontinuous parts of the displacement and plastic distortion are expressed in terms of two-dimensional as well as one-dimensional Fourier-type integrals. All other fields can be written in terms of modified Bessel functions.
7

Hwang, K. C., T. F. Cuo, Y. Huang, and J. Y. Chen. "Fracture in strain gradient elasticity." Metals and Materials 4, no. 4 (July 1998): 593–600. http://dx.doi.org/10.1007/bf03026364.

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8

Gutkin, M. Yu, and E. C. Aifantis. "Screw dislocation in gradient elasticity." Scripta Materialia 35, no. 11 (December 1996): 1353–58. http://dx.doi.org/10.1016/1359-6462(96)00295-3.

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9

Giannakopoulos, Antonios E., Stylianos Petridis, and Dimitrios S. Sophianopoulos. "Dipolar gradient elasticity of cables." International Journal of Solids and Structures 49, no. 10 (May 2012): 1259–65. http://dx.doi.org/10.1016/j.ijsolstr.2012.02.008.

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10

Zervos, A. "Finite elements for elasticity with microstructure and gradient elasticity." International Journal for Numerical Methods in Engineering 73, no. 4 (2008): 564–95. http://dx.doi.org/10.1002/nme.2093.

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Статті в журналах Дисертації

Дисертації з теми "Gradient of elasticity":

1

Lee, Chang-Kye. "Gradient smoothing in finite elasticity : near-incompressibility." Thesis, Cardiff University, 2016. http://orca.cf.ac.uk/94491/.

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This thesis presents the extension of the gradient smoothing technique for finite element approximation (so-called Smoothed Finite Element Method (S-FEM)) and its bubble-enhanced version for non-linear problems involving large deformations in nearly-incompressible and incompressible hyperelastic materials. Finite Element Method (FEM) presents numerous challenges for soft matter applications, such as incompressibility, complex geometries and mesh distortion from large deformation. S-FEM was introduced to overcome the challenges mentioned of FEM. The smoothed strains and the smoothed deformation gradients are evaluated on the smoothing domain selected by either edge information, nodal information or face information. This thesis aims the extension of S-FEM in finite elasticity as a means of alleviating locking and avoiding mesh distortion. S-FEM employs a “cubic” bubble enhancement of the element shape functions with edge-based and face-based S-FEMs, adding a linear displacement field at the centre of the element. Thereby bubble-enhanced S-FEM affords a simple and efficient implementation. This thesis reports the properties and performance of the proposed method for quasi-incompressible hyperelastic materials. Benchmark tests show that the method is well suited to soft matter simulation, overcoming deleterious locking phenomenon and maintaining the accuracy with distorted meshes.
2

MOSQUEIRA, DANIEL HUAMAN. "FORMULATION OF GRADIENT ELASTICITY FOR HYBRID BOUNDARY METHODS." PONTIFÍCIA UNIVERSIDADE CATÓLICA DO RIO DE JANEIRO, 2008. http://www.maxwell.vrac.puc-rio.br/Busca_etds.php?strSecao=resultado&nrSeq=13048@1.

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COORDENAÇÃO DE APERFEIÇOAMENTO DO PESSOAL DE ENSINO SUPERIOR
CONSELHO NACIONAL DE DESENVOLVIMENTO CIENTÍFICO E TECNOLÓGICO
A modelagem matemática de microdispositivos, em que estrutura e microestrutura têm aproximadamente a mesma escala de magnitude, assim como de macroestruturas de natureza predominantemente granular ou cristalina, requer uma abordagem não-local de deformações e tensões. Há mais de cem anos os irmãos Cosserat já tinham desenvolvido uma teoria de grãos rígidos. No entanto, e sem detrimento de desenvolvimentos devidos a Toupin e outros pesquisadores, os trabalhos de Mindlin na década de 1960 podem ser considerados a base da chamada teoria gradiente de deformações, que se tornou recentemente objeto de um grande número de investigações analíticas e experimentais, motivadas pelo desenvolvimento de novos materiais estruturais e do crescente uso de dispositivos micro- e nanomecânicos na indústria. Mais recentemente, Aifantis e colaboradores conseguiram desenvolver uma teoria gradiente de deformações mais simplificada, com base somente em duas constantes elásticas adicionais, representativas de comprimentos característicos relacionados às energias de deformação superficial e volumétrica. Uma série de trabalhos recentes desenvolvidos por Beskos e colaboradores estendeu o campo de aplicações da proposta inicial de Aifantis e introduziu uma solução fundamental que de fato remonta aos trabalhos de Mindlin. A equipe de pesquisa de Beskos propôs as primeiras implementações 2D e 3D de elementos de contorno para análises de elasticidade gradiente tanto estáticas quanto no domínio da freqüência, inclusive para problemas da mecânica da fratura. Desde o tempo de Toupin e Mindlin procura-se estabelecer uma base variacional da teoria e uma formulação consistente das condições de contorno cinemáticas e de equilíbrio, o que parece ter tido êxito com os recentes trabalhos de Amanatidou e Aravas. Esta dissertação faz uma revisão da teoria gradiente da deformações e apresenta um estudo didático do problema mais simples que se possa conceber, que é o de uma barra sob diferentes tipos de ações axiais (Aifantis, Beskos). A solução fundamental para problemas 2D e 3D também é apresentada e estudada, tanto em termos de forças pontuais aplicadas, para uma implementação em termos de elementos de contorno, quanto de desenvolvimentos polinomiais (no caso estático), para implementação em termos de elementos finitos. Mostra-se que a teoria gradiente de deformação de Aifantis é adequada a uma formulação no contexto do potencial de Hellinger-Reissner, o que possibilita implementações híbridas de elementos finitos e de contorno. O presente trabalho de pesquisa objetiva o estudo do estado da arte no tema, com uma abordagem dos principais problemas de implementação computacional, inclusive em termos das integrais singulares que surgem. O desenvolvimento completo de programas de análise de elementos híbridos finitos e de contorno, para problemas estáticos e dinâmicos, está planejado para uma tese de doutorado em futuro próximo.
The mathematical modeling of micro-devices in which structure and the microstructure are about the same scale of magnitude, as well as of macrostructure of markedly granular or crystal nature (microcomposites), demands a nonlocal approach for strains and stresses. More than one hundred years ago the Cosserat brothers had already developed a theory for rigid grains. However, and in no detriment due to Toupin and other researchers, Mindlin s work in the 1960s may be accounted the basis of the so-called strain gradient theory, which has recently become the subject of a large number of analytical and experimental investigations motivated by the development of news structural materials together with the increasing use of micro and nano-mechanical devices in the industry. More recently, Aifantis and coworkers managed to develop a simplified strain gradient theory based only on two additional elasticity constants that are representative of material lengths related to surface and volumetric strain energy. A series of very recent works done by Beskos and collaborators extended the field of applications of Aifantis propositions and introduced a fundamental solution that actually remounts to developments already laid down by Mindlin. Beskos workgroup may be regarded as the proponent of the first of the first boundary element 2D and 3D implementations on the subject for both statics and frequency-domain analyses, also including crack problems. Since Toupin and Mindlin`s time, investigations have been under development to establish the variational basis of the theory and to consistently formulate equilibrium and kinematic boundary conditions established by Amanatidou and Aravas. This dissertation makes a revision of the gradient strain elasticity theory and presents a didactic study of the simplest problem that can be conceived, i.e., a bar under different axial actions (Aifantis, Beskos). The fundamental solution for 2D and 3D problems is also presented and studied for an elastic medium submitted to a point force, for boundary methods developments, as well as submitted to polynomial stress fields (for static problems), as in the hybrid finite element method. It is shown that Aifantis strain gradient theory may be developed in the context of the Hellinger-Reissner potential, for the sake of hybrid finite and boundary element implementations. Goal of the present research work is as a detailed study of state art of the theme, which comprises an investigation of the singular integrals one must deal with in a computational implementation. The complete computational development for static and dynamic hybrid boundary/finite analyses is planned for a future doctoral thesis.
3

MOSQUEIRA, DANIEL HUAMAN. "THE HYBRID BOUNDARY ELEMENT METHOD FOR GRADIENT ELASTICITY PROBLEMS." PONTIFÍCIA UNIVERSIDADE CATÓLICA DO RIO DE JANEIRO, 2013. http://www.maxwell.vrac.puc-rio.br/Busca_etds.php?strSecao=resultado&nrSeq=23938@1.

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PONTIFÍCIA UNIVERSIDADE CATÓLICA DO RIO DE JANEIRO
CONSELHO NACIONAL DE DESENVOLVIMENTO CIENTÍFICO E TECNOLÓGICO
Atualmente está bem difundido o uso de novas modelagens matemáticas para o estudo do comportamento de micro e nano sistemas mecânicos e eléctricos. O problema de escala é notável quando o tamanho das moléculas, partículas, grãos ou cristais de um sólido é relativamente considerável em relação ao comprimento do microdispositivo. Nesses casos a teoria clássica dos meios contínuos não descreve apropriadamente a solicitação estrutural e é necessária uma abordagem mais geral através de teorias generalizadas não-clássicas que contém a elasticidade clássica como um caso particular delas, onde os parâmetros constitutivos que representam às partículas são desprezíveis. Quando os efeitos microestruturais são importantes, o comportamento não responde como um material homogêneo se não como um material homogêneo. Cem anos atrás os irmãos Cosserat desenvolveram uma teoria de grãos rígidos imersos dentro de um macromeio elástico; posteriormente Toupin, Mindlin e outros pesquisadores na década de 60 formularam a chamada teoria gradiente de deformações, que recentemente é um objeto de muitas investigações analíticas e experimentais. Na década de oitenta, Aifantis e colaboradores conseguiram desenvolver uma teoria de gradiente de deformações simplificada, baseada em só uma constante elástica adicional não-clássica representativa da energia de deformação volumétrica para caracterizar satisfatoriamente os padrões dos fenômenos não-clássicos. Beskos e colaboradores estenderam o campo de aplicações da proposta inicial de Aifantis e fizeram as primeira implementações de elementos de contorno 2D e 3D para análises de elasticidade gradiente estática, no domínio da frequência e a mecânica da fratura. Desde o tempo de Toupin e Mindlin, procura-se estabelecer uma base variacional da teoria e uma formulação consistente das condições de contorno cinemáticas e de equilíbrio, o que parece ter tido êxito com os recentes trabalhos de Amanatidou e Aravas. Esta tese apresenta a formulação do método híbrido de elementos de contorno e finitos na elasticidade gradiente desenvolvida por Dumont e Huamán decompondo o potencial de Hellinger-Reissner em dois princípios de trabalhos virtuais: o primeiro em deslocamentos virtuais e o segundo em forças virtuais. Com esta finalidade é considerado além dos parâmetros clássicos, o trabalho realizado pelas tensões, deformações, forças e deslocamentos não-clássicos. É apresentado o desenvoltimento das soluções fundamentais singulares e polinomiais atráves das equações diferenciais de sexta ordem obtidas da equação de equilíbrio em termos de deslocamento na elasticidade gradiente. É apresentada também a aplicaçõ do método híbrido de contorno para problemas de tensão axial unidimensional e flexão bidimensional de vigas. Finalmente mostra-se a aplicação numérica do método em elementos finitos, é verificado o patch test de elementos finitos de diferentes ordem e mostra-se também análises de convergência.
The use of new mathematical modeling in the study of micro and Nano electro mechanical systems is currently becoming widespread. The scaling problem is apparent when the length of molecules, particles or grains immersed in the material is relatively important compared with the whole micro device dimension. Under this approach the classical theories of mechanics cannot describe suitably the structural requirement and it is necessary a more general outlook through non classical generalized theories which enclose the classical elasticity as a particular case where the non-classical constitutive parameters are negligible. When the microstructural effects are important, the material does not respond as a homogeneous but as a non-homogeneous one. A hundred years ago Cosserat brothers formulated a new theory of rigid grains which were embedded in an elastic macro medium; later Toupin, Mindlin along others researchers in 1960s developed a gradient strain theory which has been recently the source of many analystics and experimental investigations. In 1980s Ainfantis et al could develop a simplified strain gradient theory with just one additional non classical elastic constant which represents the volumetric elastic strain energy and characterized successfully the whole non classical pattern phenomenon. Beskos et al extended the treatment proposed initially by Aifantis and developed the first numerical applications for 2D and 3D boundary element methods and solved static as dynamic and crack problems. Since the times of Toupin and Mindlin it is looking for to establish a variational theory with a consistent cinematic and equilibrium boundary conditions, which seemed to have had success in the recent works of Amanatiodou and Aravas. This work presents the formulation of the hybrid boundary and finite element methods under the strain gradient scope which were developed by Dumont and Huamán through the versatile decomposition of the Hellinger-Reissner potential in two work principles: the displacements virtual work and the forces virtual work; both principles contain the virtual work performed by the non-classical magnitudes. Following, it is presented the complete development of singular and polynominal fundamental solutions abtained through the sixth order strain gradient differential equilibrium equations in terms of displacements. Next it is shown an application of the method to unidimensional truss element and bidimensional beam. Finally, it is presented a numerical application to strain gradient finite element, it is checked the patch tests to different elements orders and it is also shown a series of convergence analysis.
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Runa, Eris [Verfasser]. "Mathematical Analysis of Lattice gradient models & Nonlinear Elasticity / Eris Runa." Bonn : Universitäts- und Landesbibliothek Bonn, 2015. http://d-nb.info/1079273298/34.

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5

Fischer, Paul [Verfasser], and Paul [Akademischer Betreuer] Steinmann. "C1 Continuous Methods in Computational Gradient Elasticity / Paul Fischer. Betreuer: Paul Steinmann." Erlangen : Universitätsbibliothek der Universität Erlangen-Nürnberg, 2011. http://d-nb.info/1015783635/34.

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6

Goodsell, G. "Gradient superconvergance in the finite element method with applications to planar linear elasticity." Thesis, Brunel University, 1988. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.383122.

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7

Reiher, Jörg Christian [Verfasser]. "A thermodynamically consistent framework for finite third gradient elasticity and plasticity / Jörg Christian Reiher." Magdeburg : Universitätsbibliothek, 2017. http://d-nb.info/1133541526/34.

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8

Dona, Marco. "Static and dynamic analysis of multi-cracked beams with local and non-local elasticity." Thesis, Loughborough University, 2014. https://dspace.lboro.ac.uk/2134/14893.

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The thesis presents a novel computational method for analysing the static and dynamic behaviour of a multi-damaged beam using local and non-local elasticity theories. Most of the lumped damage beam models proposed to date are based on slender beam theory in classical (local) elasticity and are limited by inaccuracies caused by the implicit assumption of the Euler-Bernoulli beam model and by the spring model itself, which simplifies the real beam behaviour around the crack. In addition, size effects and material heterogeneity cannot be taken into account using the classical elasticity theory due to the absence of any microstructural parameter. The proposed work is based on the inhomogeneous Euler-Bernoulli beam theory in which a Dirac's delta function is added to the bending flexibility at the position of each crack: that is, the severer the damage, the larger is the resulting impulsive term. The crack is assumed to be always open, resulting in a linear system (i.e. nonlinear phenomena associated with breathing cracks are not considered). In order to provide an accurate representation of the structure's behaviour, a new multi-cracked beam element including shear effects and rotatory inertia is developed using the flexibility approach for the concentrated damage. The resulting stiffness matrix and load vector terms are evaluated by the unit-displacement method, employing the closed-form solutions for the multi-cracked beam problem. The same deformed shapes are used to derive the consistent mass matrix, also including the rotatory inertia terms. The two-node multi-damaged beam model has been validated through comparison of the results of static and dynamic analyses for two numerical examples against those provided by a commercial finite element code. The proposed model is shown to improve the computational efficiency as well as the accuracy, thanks to the inclusion of both shear deformations and rotatory inertia. The inaccuracy of the spring model, where for example for a rotational spring a finite jump appears on the rotations' profile, has been tackled by the enrichment of the elastic constitutive law with higher order stress and strain gradients. In particular, a new phenomenological approach based upon a convenient form of non-local elasticity beam theory has been presented. This hybrid non-local beam model is able to take into account the distortion on the stress/strain field around the crack as well as to include the microstructure of the material, without introducing any additional crack related parameters. The Laplace's transform method applied to the differential equation of the problem allowed deriving the static closed-form solution for the multi-cracked Euler-Bernoulli beams with hybrid non-local elasticity. The dynamic analysis has been performed using a new computational meshless method, where the equation of motions are discretised by a Galerkin-type approximation, with convenient shape functions able to ensure the same grade of approximation as the beam element for the classical elasticity. The importance of the inclusion of microstructural parameters is addressed and their effects are quantified also in comparison with those obtained using the classical elasticity theory.
9

Sideris, Stergios Alexandros [Verfasser], Charalampos [Akademischer Betreuer] Tsakmakis, and Amsini [Akademischer Betreuer] Sadiki. "Static and Dynamic Analysis of a Simple Model of Explicit Gradient Elasticity / Stergios -. Alexandros Sideris ; Charalampos Tsakmakis, Amsini Sadiki." Darmstadt : Universitäts- und Landesbibliothek, 2021. http://d-nb.info/1237816920/34.

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10

Bagni, Cristian. "Formalisation of a novel finite element design method based on the combined use of gradient elasticity and the Theory of Critical Distances." Thesis, University of Sheffield, 2016. http://etheses.whiterose.ac.uk/17118/.

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The present research work is dedicated to the development, implementation and validation of a unified finite element methodology based on the combination of gradient elasticity and the Theory of Critical Distances, for the static and high-cycle fatigue assessment of notched engineering components. The proposed methodology, developed for plane, axisymmetric and three-dimensional problems, takes full advantage of both the TCD's accuracy in estimating static and high-cycle fatigue strength of notched components and of the computational efficiency of gradient elasticity in determining non-local stress fields whose distribution fully depends on the value of the adopted length scale parameter. In particular, the developed methodology, due to the ability of gradient elasticity to smooth stress fields in the vicinity of notch tips, has the great advantage of allowing accurate and reliable static and fatigue assessments of notched components by directly considering the relevant gradient-enriched stresses at the hot-spot on the surface of the component, in contrast to existing conventional approaches that require the knowledge of the failure location into the material a priori. This advantage, together with the fact that the proposed methodology can be easily implemented in commercial finite element software, makes the developed methodology a powerful and easy-to-use tool for the static and fatigue design/assessment of notched components. The developed methodology is accompanied by an accurate investigation of the best integration rules to be used as well as a comprehensive convergence study both in absence and presence of cracks, leading to a practical guideline on optimum element size. The proposed gradient-enriched methodology has been validated against a large number of problems involving notched components subject to both static and fatigue loading, covering a wide range of materials, geometries and loading conditions, clearly showing its accuracy and versatility. The developed gradient-enriched methodology has also been extended to the study of the dynamic behaviour of visco-elastic materials subject to vibration.
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Книги з теми "Gradient of elasticity":

1

Goodsell, George. Gradient superconvergence in the finite element method with applications to planar linear elasticity. Uxbridge: Brunel University, 1988.

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2

IUTAM Symposium on Transformation Problems in Composite and Active Materials (1997 Cairo, Egypt). IUTAM Symposium on Transformation Problems in Composite and Active Materials: Proceedings of the IUTAM symposium held in Cairo, Egypt, 9-12 March 1997. New York: Kluwer Academic Publishers, 2002.

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3

IUTAM Symposium on Transformation Problems in Composite and Active Materials (1997 Cairo, Egypt). IUTAM Symposium on Transformation Problems in Composite and Active Materials: Proceedings of the IUTAM symposium held in Cairo, Egypt, 9-12 March 1997. Dordrecht: Kluwer Academic Publishers, 1998.

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4

Aĭzikovich, S. M. Analiticheskie reshenii︠a︡ smeshannykh osesimmetrichnykh zadach dli︠a︡ funkt︠s︡ionalʹno-gradientnykh sred. Moskva: FIZMATLIT, 2011.

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5

(Editor), Yehia A. Bahei-El-Din, and George J. Dvorak (Editor), eds. IUTAM Symposium on Transformation Problems in Composite and Active Materials (Solid Mechanics and Its Applications). Springer, 1998.

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6

A, Miller Robert, and Lewis Research Center, eds. Determination of creep behavior of thermal barrier coatings under laser imposed temperature and stress gradients. [Cleveland, Ohio]: National Aeronautics and Space Administration, Lewis Research Center, 1997.

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7

1947-, Miller Robert A., and NASA Glenn Research Center, eds. Thermal conductivity and elastic modulus evolution of thermal barrier coatings under high heat flux conditions. [Cleveland, Ohio]: National Aeronautics and Space Administration, Glenn Research Center, 1999.

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Частини книг з теми "Gradient of elasticity":

1

Bertram, Albrecht. "Finite Gradient Elasticity and Plasticity." In Mechanics of Strain Gradient Materials, 151–68. Cham: Springer International Publishing, 2020. http://dx.doi.org/10.1007/978-3-030-43830-2_6.

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2

Bertram, Albrecht. "Essay on Gradient Materials." In Elasticity and Plasticity of Large Deformations, 345–79. Cham: Springer International Publishing, 2021. http://dx.doi.org/10.1007/978-3-030-72328-6_12.

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Bertram, Albrecht. "Second-Order Gradient Elasticity and Plasticity under Small Deformations." In Compendium on Gradient Materials, 213–38. Cham: Springer International Publishing, 2022. http://dx.doi.org/10.1007/978-3-031-04500-4_6.

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4

Eremeyev, Victor A., and Francesco dell’Isola. "A Note on Reduced Strain Gradient Elasticity." In Advanced Structured Materials, 301–10. Cham: Springer International Publishing, 2018. http://dx.doi.org/10.1007/978-3-319-72440-9_15.

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Glüge, Rainer, Jan Kalisch, and Albrecht Bertram. "The Eigenmodes in Isotropic Strain Gradient Elasticity." In Advanced Structured Materials, 163–78. Cham: Springer International Publishing, 2016. http://dx.doi.org/10.1007/978-3-319-31721-2_8.

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6

Forest, Samuel. "Strain Gradient Elasticity From Capillarity to the Mechanics of Nano-objects." In Mechanics of Strain Gradient Materials, 37–70. Cham: Springer International Publishing, 2020. http://dx.doi.org/10.1007/978-3-030-43830-2_3.

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Glüge, Rainer. "A C1 Incompatible Mode Element Formulation for Strain Gradient Elasticity." In Higher Gradient Materials and Related Generalized Continua, 95–120. Cham: Springer International Publishing, 2019. http://dx.doi.org/10.1007/978-3-030-30406-5_6.

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Jiang, Yu, and Peiheng Long. "Parameter Sensitivity Analysis of Long Span PC Continuous Beam Bridge with Corrugated Steel Webs." In Lecture Notes in Civil Engineering, 298–305. Singapore: Springer Singapore, 2022. http://dx.doi.org/10.1007/978-981-19-1260-3_26.

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AbstractIn order to explore the regularity of alignment and stress variation of long-span corrugated steel web (CSW) continuous beam bridge during cantilever casting construction was taken as the engineering background. Based on numerical simulation, the sensitivity of parameters of alignment and stress of the main beam is carried out on cast-in-place section weight, modulus of elasticity and temperature gradient. The results show that the obvious influence of cast-in-situ section weight and temperature gradient on the alignment and stress is the key control parameters, while modulus of elasticity is the secondary control parameters. Therefore, it is necessary to monitor concrete dense and environmental temperature change in real time during construction, closure at a suitable temperature. Correct construction errors in time, ensure structural safety and smooth alignment.
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Niiranen, Jarkko, and Sergei Khakalo. "Variational Formulations and Galerkin Methods for Strain Gradient Elasticity." In Encyclopedia of Continuum Mechanics, 2601–10. Berlin, Heidelberg: Springer Berlin Heidelberg, 2020. http://dx.doi.org/10.1007/978-3-662-55771-6_268.

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Sorić, Jurica, Tomislav Lesičar, Filip Putar, and Zdenko Tonković. "Modeling of Material Deformation Responses Using Gradient Elasticity Theory." In Multiscale Modeling of Heterogeneous Structures, 257–75. Cham: Springer International Publishing, 2017. http://dx.doi.org/10.1007/978-3-319-65463-8_13.

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Тези доповідей конференцій з теми "Gradient of elasticity":

1

TSEPOURA, K. G., S. V. TSINOPOULOS, S. PAPARGYRI-BESKOU, and D. POLYZOS. "STATIC FUNDAMENTAL SOLUTION IN 3-D GRADIENT ELASTICITY." In Proceedings of the Fifth International Workshop on Mathematical Methods in Scattering Theory and Biomedical Technology. WORLD SCIENTIFIC, 2002. http://dx.doi.org/10.1142/9789812777140_0023.

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2

Shaat, Mohamed, and Abdessattar Abdelkefi. "Modeling of strain gradient-based nanoparticle composite plates with surface elasticity." In 57th AIAA/ASCE/AHS/ASC Structures, Structural Dynamics, and Materials Conference. Reston, Virginia: American Institute of Aeronautics and Astronautics, 2016. http://dx.doi.org/10.2514/6.2016-0935.

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3

Yang, Xu, Ya-rong Zhou, Kun-yu Yao, and Bing-lei Wang. "The Flexoelectric Effect of Nanobeam Based on a Reformulated Strain Gradient Elasticity." In 2019 13th Symposium on Piezoelectrcity, Acoustic Waves and Device Applications (SPAWDA). IEEE, 2019. http://dx.doi.org/10.1109/spawda.2019.8681824.

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4

Monchiet, V., T. H. Tran, and G. Bonnet. "Numerical Implementation of Higher-Order Homogenization Problems and Computation of Gradient Elasticity Coefficients." In ASME 2012 11th Biennial Conference on Engineering Systems Design and Analysis. American Society of Mechanical Engineers, 2012. http://dx.doi.org/10.1115/esda2012-82060.

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A micromechanics-based approach for the derivation of the effective properties of periodic linear elastic composites which exhibit strain gradient effects at the macroscopic level is presented. At the local scale, all phases of the composite obey the classic equations of tridimensional elasticity, but, since the assumption of strict separation of scale is not verified, the macroscopic behavior is described by the equations of strain gradient elasticity. The methodology uses the series expansions at the local scale, for which, higher-order terms (which are generally neglected in standard homogenization framework) are kept, in order to take into account the microstructural effects. All these terms are then obtained by solving a hierarchy of higher-order elasticity problems with prescribed body forces and eigen-strains whose expression depends on the solution at the lower-order. An energy based micro-macro transition is then proposed for the change of scale and constitutes, in fact, a generalization of the Hill-Mandel lemma to the case of higher-order homogenization problems. The constitutive relations and the definitions for higher-order elasticity tensors are retrieved by means of the “state law” associated to the derived macroscopic potential. It is rigorously proved that the macroscopic quantities derived from this homogenization procedure comply with the equations of strain gradient elasticity. As an illustration, we derive the closed-form expressions for the components of the gradient elasticity tensors in the particular case of a stratified periodic composite. For handling the problems with an arbitrary microstructure, a FFT-based computational iterative scheme is proposed whose efficiency is shown in the particular case of composites reinforced by long fibers.
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Engler, Adam J. "Probing Mechanisms of Mechano-Sensitive Differentiation in Mesenchymal Stem Cells." In ASME 2010 Summer Bioengineering Conference. American Society of Mechanical Engineers, 2010. http://dx.doi.org/10.1115/sbc2010-19184.

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Adult mesenchymal stem cells (MSCs) have recently been shown to be responsive to the properties of their adjacent extracellular niche, most notably physical parameters such as topography and elasticity. Elasticity varies dramatically between tissues that MSCs inhibit, which drives elasticity-based differentiation into neurons, muscle, bone, etc. However within tissues, distinct elasticity gradients, brought on by pathological conditions, e.g. myocardial infarction ∼ 8.67 ± 1.50 kPa/mm, or through normal tissue variation, e.g. 0.58 ± 0.88 kPa/mm, could drive MSC migration. In fact, MSCs appear to undergo directed migration up elasticity gradients, or “durotax,” as shallow as 0.96 kPa/mm, indicating a ‘differentiation hierarchy’ since when given the choice, MSCs will durotax into the stiffest regions of the niche and then differentiate based on niche elasticity. As cells move up the gradient, they do so by deforming their niche to determine it’s elasticity, but the molecular mechanism that converts this biophysical signal into a biochemical one which the nucleus can interpret is yet unresolved. We have identified several focal adhesion-related proteins may be capable of force-induced conformational changes, e.g. vinculin. Upon the application of different amounts of traction stress in situ by MSCs, an appropriate amount of stretching results in the exposure of cryptic MAPK binding sites within vinculin and suggests that vinculin, among other focal adhesion proteins, may be sensitive to physical ECM properties and thus able to relay information leading to differentiation of stem cells.
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Matsumoto, Takeo, Norihiro Matsui, Mai Ishiguro, and Kazuaki Nagayama. "How Do Cells Sense Substrate Stiffness? Effects of Substrate Elasticity and Thickness on the Behavior of Rat Aortic Smooth Muscle Cells." In ASME 2011 Summer Bioengineering Conference. American Society of Mechanical Engineers, 2011. http://dx.doi.org/10.1115/sbc2011-53811.

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There has been growing evidence that elasticity of substrate has significant effects on cells on it. For example, smooth muscle cells (SMCs) on elastic substrate increase their adhesion area as the substrate gets stiffer [1]. SMCs on substrate with elasticity gradient move to stiffer region [2]. Even differentiation of mesenchymal stem cells depends on substrate elasticity [3]. Thus, it is crucial to investigate how cells sense substrate elasticity to understand mechanical aspects of cell biology.
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Zeidi, Mahdi, and Chun Il Kim. "Gradient Elasticity Modelling For The Analysis Of Fiber Composites With Fiber Resistant To Flexure." In 2018 Canadian Society for Mechanical Engineering (CSME) International Congress. York University Libraries, 2018. http://dx.doi.org/10.25071/10315/35267.

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PAPACHARALAMPOPOULOS, A., D. POLYZOS, A. CHARALAMBOPOULOS, and D. E. BESKOS. "BOUNDARY ELEMENT SOLUTIONS FOR FREQUENCY DOMAIN PROBLEMS IN MINDLIN's STRAIN GRADIENT THEORY OF ELASTICITY." In Proceedings of the 9th International Workshop on Mathematical Methods in Scattering Theory and Biomedical Engineering. WORLD SCIENTIFIC, 2010. http://dx.doi.org/10.1142/9789814322034_0022.

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Sadeghi, H., M. Baghani, and R. Naghdabadi. "Stress analysis of thick-walled cylinders made of functionally graded materials using strain gradient elasticity." In Behavior and Mechanics of Multifunctional Materials and Composites 2010. SPIE, 2010. http://dx.doi.org/10.1117/12.846921.

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GIANNAKOPOULOS, A. E., and V. I. ZAFIROPOULOU. "THE USE OF STRAIN GRADIENT ELASTICITY IN MODELLING TISSUES: THE CASE OF THE HUMAN HEART." In Proceedings of the 9th International Workshop on Mathematical Methods in Scattering Theory and Biomedical Engineering. WORLD SCIENTIFIC, 2010. http://dx.doi.org/10.1142/9789814322034_0021.

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Звіти організацій з теми "Gradient of elasticity":

1

Babuska, I., T. Strouboulis, C. S. Upadhyay, and S. K. Gangaraj. Study of Superconvergence by a Computer-Based Approach: Superconvergence of the Gradient of the Displacement, The Strain and Stress in Finite Element Solutions for Plane Elasticity. Fort Belvoir, VA: Defense Technical Information Center, February 1994. http://dx.doi.org/10.21236/ada279885.

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