The fundamental equations of the isotropic and orthotropic plane theory of elasticity are reworked in the frame of the generalized analytic functions theory. The areolar strain concept and its equilibrium and compatibility equations are... more
The fundamental equations of the isotropic and orthotropic plane theory of elasticity are reworked in the frame of the generalized analytic functions theory. The areolar strain concept and its equilibrium and compatibility equations are presented. In this conception, the plane strain is decomposed into two orthogonal complex strains. A canonic form for the equilibrium equation is provided, allowing achieving its general solution in a fairly straightforward fashion. For finite rotation, new equilibrium equations and boundary conditions, in terms of strains as well as in terms of stresses, are given. Orthogonal polynomial expansions, which fulfill both the equilibrium and the compatibility equations for isotropic and orthotropic planes, are provided. These polynomials exactly retain the drilling degrees of freedom in finite element models.
Research Interests:
We define a class of deformations in $W^{1,p}(\Omega,\mathbb{R}^n)$, $p>n-1$, with positive Jacobian that do not exhibit cavitation. We characterize that class in terms of the non-negativity of the topological degree and the equality... more
We define a class of deformations in $W^{1,p}(\Omega,\mathbb{R}^n)$, $p>n-1$, with positive Jacobian that do not exhibit cavitation.
We characterize that class in terms of the non-negativity of the topological degree and the equality between the distributional determinant and the pointwise determinant of the gradient.
Maps in this class are shown to satisfy a property of weak monotonicity, and, as a consequence, they enjoy an extra degree of regularity.
We also prove that these deformations are locally invertible; moreover, the neighbourhood of invertibility is stable along a weak convergent sequence in $W^{1,p}$, and the sequence of local inverses converges to the local inverse.
We use those features to show weak lower semicontinuity of functionals defined in the deformed configuration and functionals involving composition of maps.
We apply those results to prove existence of minimizers in some models for nematic elastomers and magnetoelasticity.
Recently, we proposed a hierarchical model for the elastic properties of mineralized lobster cuticle using (i) ab initio calculations for the chitin properties and (ii) hierarchical homogenization performed in a bottom-up order through... more
Recently, we proposed a hierarchical model for the elastic properties of mineralized lobster cuticle using (i) ab initio calculations for the chitin properties and (ii) hierarchical
homogenization performed in a bottom-up order through all length scales. It has been found that the cuticle possesses nearly extremal, excellent mechanical properties in terms of stiffness that strongly depend on the overall mineral content and the specific microstructure of the mineral–protein matrix. In this study, we investigated how the overall cuticle properties changed when there are significant variations in the properties of the constituents (chitin, amorphous calcium carbonate (ACC), proteins), and the volume fractions of key structural elements such as chitin–protein fibers. It was found that the cuticle performance is very robust with respect to variations in the elastic properties of chitin and fiber proteins at a lower hierarchy level. At higher structural levels, variations of design parameters such as the volume fraction of the chitin–protein fibers have a significant influence on the cuticle performance. Furthermore, we observed that among the possible variations in the cuticle ingredients and volume fractions, the experimental data reflect an optimal use of the structural variations regarding the best possible performance for a given composition due to the smart hierarchical organization of the cuticle design.
Research Interests:
A number of studies have demonstrated that simple elastic network models can reproduce experimental B-factors, providing insights into the structure-function properties of proteins. Here, we report a study on how to improve an elastic... more
A number of studies have demonstrated that simple elastic network models can reproduce experimental B-factors, providing insights into the structure-function properties of proteins. Here, we report a study on how to improve an elastic network model and explore its performance by predicting the experimental B-factors. Elastic network models are built on the experimental Cα coordinates, and they only take the pairs of Cα atoms within a given cutoff distance rc into account. These models describe the interactions by elastic springs with the same force constant. We have developed a method based on numerical simulations with a simple coarse-grained force field, to attribute weights to these spring constants. This method considers the time that two Cα atoms remain connected in the network during partial unfolding, establishing a means of measuring the strength of each link. We examined two different coarse-grained force fields and explored the computation of these weights by unfolding the native structures.
Research Interests:
This paper presents the generalized differential quadrature (GDQ) simulation for analysis of a nanofluid over a nonlinearly stretching sheet. The obtained governing equations of flow and heat transfer are discretized by GDQ method and... more
This paper presents the generalized differential quadrature (GDQ) simulation for analysis of a nanofluid
over a nonlinearly stretching sheet. The obtained governing equations of flow and heat transfer are
discretized by GDQ method and then are solved by Newton-Raphson method. The effects of stretching
parameter, Brownian motion number (Nb), Thermophoresis number (Nt) and Lewis number (Le), on the
concentration distribution and temperature distribution are evaluated. The obtained results exhibit that the
heat transfer rate can be controlled by choosing different nanoparticles and stretching parameter.
Research Interests:
Nonlinear Elasticity, Nonlinear Dynamics and Stochasticity, Nonlinear Optics, Nonlinear Programming, Nonlinear dynamics, and 27 more
La tendencia actual hacia la miniaturización en la industria microelectrónica ha promulgado el desarrollo de teorías orientadas a explicar el comportamiento de materiales usados en pequeña escala. En el caso particular de los metales,... more
La tendencia actual hacia la miniaturización en la industria microelectrónica ha promulgado el desarrollo de teorías orientadas a explicar el comportamiento de materiales usados en pequeña escala. En el caso particular de los metales, recientemente se ha usado una clase de teorías no clásicas de la mecánica de los medios continuos con el fin de explicar una amplia gama de observaciones a escala micrométrica. Sin embargo el uso práctico de las teorías propuestas permanece limitado debido a dificultades a la hora de su implementación numérica. En primer lugar, cuando éstas van a ser implementadas en formulaciones por elementos finitos basadas en desplazamientos se genera la necesidad de altos órdenes de continuidad en las funciones de interpolación con el fin de mantener las propiedades de convergencia en el algoritmo. Estas limitaciones generan fuertes restricciones en las geometrías de los elementos disponibles. De otro lado, los modelos inelásticos disponibles para aplicaciones a pequeña escala han sido formulados como teorías de deformación (total) limitando su aplicabilidad a problemas bajo condiciones proporcionales de carga. En el presente artículo se hacen dos contribuciones para el caso de un continuo de Cosserat con tensiones de par. Primero se describe un esquema numérico basado en una estrategia de funciones de penalización combinadas con integración reducida para abordar apropiadamente el problema de los términos de orden superior presentes en la teoría de los Cosserat. Este esquema da como resultado un nuevo elemento finito que puede ser directamente acoplado a programas de distribución comercial que acepten subrutinas de usuario. En segundo lugar se propone una teoría de flujo de plasticidad incorporando efectos de tamaño superando algunos de los obstáculos de las teorías por deformación. El modelo constitutivo resultante y su correspondiente esquema de integración en el tiempo son acoplados al nuevo elemento formulado e implementados en subrutinas de usuario de ABAQUS. La validez de la estrategia es demostrada mediante simulaciones del ensayo de microflexión en láminas de níquel reportados en la literatura.

PACS: 81.40.Lm, 81.40.Jj, 46

MSC: 82B21, 65N30
"Se presenta el análisis no lineal dinámico en tres direcciones de 6 edificiosde concreto reforzado de 5, 12 y 20 pisos, diseñados con la NSR-10 yla zonificación de respuesta sísmica de Bogotá del año 2010. Estos 6 edificios,con planta... more
"Se presenta el análisis no lineal dinámico en tres direcciones de 6 edificiosde concreto reforzado de 5, 12 y 20 pisos, diseñados con la NSR-10 yla zonificación de respuesta sísmica de Bogotá del año 2010. Estos 6 edificios,con planta típica idéntica, fueron sometidos a 78 señales sísmicas del sismo deQuetame (año 2008) registradas por 26 estaciones de la red de acelerógrafosde Bogotá (RAB). Para el diseño de los edificios se utilizaron los espectros derespuesta de aceleración absoluta para las zonas: «Piedemonte-B» y «Lacustre-500» de la microzonificación sísmica de Bogotá. Posteriormente, se calcularonlas rótulas plásticas para cada elemento estructural de los 6 edificios, y en elcaso de las columnas, también sus diagramas de interacción. Luego, las edificacion estridimensionales fueron sometidas simultáneamente a los registros contra el tiempo norte-sur, este-oeste y vertical. Para cada edificio sometidoa las señales de cada estación, se obtuvieron las demandas de deriva, los desplazamientosde la cubierta, el cortante en la base y los niveles de daño segúnestimadores internacionalmente aceptados. Finalmente, se generaron mapasde demandas de deriva y aceleración por edificio en la ciudad de Bogotá D.C.Los resultados sugieren que los edificios diseñados con la amenaza sísmica dela nueva microzonificación de Bogotá y con las estipulaciones de la NSR-10,presentarán daños excesivos asociados a estados límites como son los de «seguridadde vidas» para un sismo de baja magnitud como fue el de Quetame,que equivalió a solo una fracción de aquel que corresponde al comportamientoreal bajo el escenario de diseño"
Research Interests:
In the present research, nano hydroxyapatite (HA) powder doped with magnesia (MgO) was studied. The dopant was added to pure HA powder and ball milling was done for 1 hour. Green samples, in the form of discs and rectangular bars, were... more
In the present research, nano hydroxyapatite (HA) powder doped with magnesia (MgO) was studied. The dopant was added to pure HA powder and ball milling was done for 1 hour. Green samples, in the form of discs and rectangular bars, were prepared and consolidated in air at temperatures ranging from 1000°C to 1300°C. The sintered samples were characterized to determine the phase stability, relative density, hardness, fracture toughness and Young's modulus. The phase analysis revealed that the HA phase was not disrupted regardless of dopant additions and sintering temperature. It has been revealed that all HA samples achieved > 98% relative density when sintered between 1100°C-1300°C. However, the addition of 0.5 wt% MgO when sintered at 1100°C was found to be most beneficial in aiding sintering with samples exhibiting the highest Young's modulus of 122.15 GPa and fracture toughness of 1.64 MPam 1/2 as compared to 116.57 GPa and 1.18 MPam 1/2 for the undoped HA.

http://link.springer.com/chapter/10.1007/978-3-642-21729-6_23 
We discuss the well-posedness of a new nonlinear model for nematic elastomers. The main novelty in our work is that the Frank energy penalizes spatial variations of the nematic director in the deformed, rather than in the reference... more
We discuss the well-posedness of a new nonlinear model for nematic elastomers.
The main novelty in our work is that the Frank energy penalizes
spatial variations of the nematic director in the deformed, rather than
in the reference configuration, as it is natural in the case of large deformations.
Over the years new coating design and technology for structures have received much attention mainly due to the demand for longer life span and durability. Conventional coating general consists of few homogeneous layers being deposited on... more
Over the years new coating design and technology for structures have received much attention mainly due to the demand for longer life span and durability. Conventional coating general consists of few homogeneous layers being deposited on the parent material or substrate. These layers are very vulnerable to cracking followed by de-bonding due to mismatch thermo-mechanical property. To avoid such coating failures, functionally graded material (FGM) is proposed in the coating design. Hence, this study analyzes FGM plates subjected to transverse load with clamped edges. Three configurations were considered. The first involves a two-layer plate in which a homogeneous coating layer was coated on a homogeneous substrate. The second involves a two layer system with the first layer as a FGM coating followed by the homogeneous substrate and the final configuration was a three layer system. The top and bottom layers are homogenous coating and substrates respectively, and the interlayer is composed of FGM. The Young's modulus of FGM plates is assumed to vary in the thickness direction based on the sigmoid functions and the Poisson's ratio remain constant throughout the FGM plate. The analysis was carried out in the context of two-dimensional elasticity theory and the method of superposition was used to find a series solution. The deflections, strains, and stresses were evaluated and the differences between the elastic behaviors of all three design configurations were investigated.

http://ac.els-cdn.com/S1359836812005975/1-s2.0-S1359836812005975-main.pdf?_tid=bdc4d316-e777-11e2-bed9-00000aab0f02&acdnat=1373251404_aef28c551293c961249fa40e35625a42 
Research Interests:
This paper deals with necessary conditions and sufficient conditions for a weak local minimum of the energy of a hyperelastic body. We consider anisotropic bodies of arbitrary shape, subject to prescribed displacements on a given portion... more
This paper deals with necessary conditions and sufficient conditions for a weak local minimum of the energy of a hyperelastic body. We consider anisotropic bodies of arbitrary shape, subject to prescribed displacements on a given portion of the boundary. As an example, we consider the uniaxial stretching of a cylinder, in the two cases of compressible and incompressible material. In both cases we find that there is a continuous path across the natural state, made of local energy minimizers. For the Blatz-Ko compressible material and for the Mooney-Rivlin incompressible material, explicit estimates of the minimizing path are given and compared with those available in the literature.
Research Interests:
Race 5 of Pyrenophora tritici-repentis, causal agent of tan spot, induces two distinct symptoms, necrosis and chlorosis in susceptible tetraploid and hexaploid wheat, respectively. This study was conducted under controlled environmental... more
Race 5 of Pyrenophora tritici-repentis, causal agent of tan spot, induces two distinct symptoms, necrosis and chlorosis in susceptible tetraploid and hexaploid wheat, respectively. This study was conducted under controlled environmental conditions to determine the inheritance of resistance to P. tritici-repentis, race 5, in a tetraploid wheat population and to map the resistance genes. Additionally, the relationship between the resistance genes effective against necrosis inducing races 3 and 5 in tetraploid wheat was determined. A population of 98 recombinant-inbred lines (RIL) was developed from a cross between the resistant genotype Triticum turgidum # 283 (PI352519) and the susceptible durum cultivar Coulter. This RIL population was screened individually with race 3 and race 5 and molecular mapping of the resistance gene(s) in this population was conducted. Additionally, the F2 and F4:5 generations of this population were screened with race 5 to determine the genetic control of resistance. Plants were inoculated at the two-leaf stage and disease reaction was assessed based on 1 to 5 lesion-type rating scale eight days after inoculation. Segregation analysis of the F2 generation and of the F4:5 and F6:7 families indicated that a single recessive gene controlled resistance to necrosis induced by race 5. Analysis of the mapping data of the T. turgidum # 283/Coulter RIL population indicate that a major gene, designated tsn5, controlling resistance to race 5 is located on the long arm of chromosome 3B. The tsn5 gene is 8.3 cM proximal to the gene tsn2 that controls resistance to necrosis induced by race 3.
► ABSTRACT: • A kind of "Elastic Composite, Reinforced Lightweight Concrete (ECRLC)" with the mentioned specifics is a type of "Resilient Composite Systems (RCS)" in which, contrary to the basic geometrical assumption of flexure... more
► ABSTRACT:

• A kind of "Elastic Composite, Reinforced Lightweight Concrete (ECRLC)" with the mentioned specifics is a type of "Resilient Composite Systems (RCS)" in which, contrary to the basic geometrical assumption of flexure theory in Solid Mechanics, "the strain changes in the beam height during bending" is typically "Non-linear".

• Through employing this integrated structure, with significant high strain capability and modulus of resilience in bending, we could constructively achieve high bearing capacities in beams with secure fracture pattern, in less weight.

• Due to the system particulars and its behavior in bending, the usual calculation of the equilibrium steel amount to attain the low-steel bending sections with secure fracture pattern in the beams and its related limitations do not become propounded. Thereby, the strategic deadlock of high possibility of brittle fracture pattern in the bending elements made of the usual reinforced lightweight concretes, especially about the low-thickness bending elements as slabs, is being unlocked.

• This simple, applied technology and the related components and systems can have several applications in "the Road and Building Industries" too.

• Regarding the "strategic importance of the Lightweight & Integrated Construction in practical increase of the resistance and safety against earthquake" and considering the appropriate behavior of this resilient structure against the dynamic loads, shakes, impacts and shocks and capability of making some lightweight and insulating, non-brittle, reinforced sandwich panels and pieces, this system and its components could be also useful in "seismic areas".

• This system could be also employed in constructing the vibration and impact absorber bearing pieces and slabs, which can be used in "the Railroad & Subway Structures" too.

• Here, the "RCS" and particularly, "ECRLC" as a type of RCS have been concisely presented. [Meanwhile, in the related pictures & figures, an instance of the said new structure and its components and the results of some performed experiments (as the "in-bending" & in-compressive loadings of the slabs including this structure, similar to ASTM E 72 Standard) have been pointed.] 


► FULL TEXT:

- http://www.scribd.com/doc/11530978/Elastic-Composite-Reinforced-Lightweight-Concrete-ECRLC-as-a-type-of-Resilient-Composite-Systems-RCS-Revision2012EnglishAlsoPublishedAtijitce ;

-https://ia601207.us.archive.org/34/items/IJITCE/vol2no801.pdf [Also archived at: http://www.webcitation.org/6B2pFPpBh ] ;

- https://sites.google.com/site/NEWSTRUCTURE1 ;

- ...


► CONTENTS:

* ABSTRACT

I. INTRODUCTION

II. WHAT ARE THE RESILENT COMPOSITE SYSTEMS
  - A. General Review
  - B. Components
      • - 1) Mesh or Lattice
      • - 2) Fibers or Strands
      • - 3) "Matrix" with the Suitable Hollow "Pores (Voids)" and/or "Lightweight Aggregates" in its Context
  - C. More Explanations about the RCS
  - D. Why are These Systems Called as "Composite"?
  - E. The General Structural Particulars and Functional Criteria as the Necessary Specifications of the Compound Materials Generally Called as "Resilient Composite Systems"
      • - 1) General Structural Criteria:
      • - 2) Functional Criteria (Required Specifications)

III. "ELASTIC COMPSITE REINFORCED LGHTWEIGHT CONCRETE (ECRLC)" AS A TYPE OF THE RESILIENT COMPOSITE SYSTEMS (RCS)
  - An Instance of the Lightweight Concrete that Could be Used in Making the ECRLC

IV. REVIEW OF SOME EXPERIMENTS, AND MORE DESCRIPTION about ECRLC

V. SUPPLEMENTARY ELEMENTS

VI. APPLICATIONS

VII. FINAL REVIEW

* ACKNOWLEDGEMENTS

* REFERENCES


● KEY WORDS: Strength of materials (solid mechanics), Civil (construction), Materials, Earthquake (resistance and safety), Resilient concrete (flexible concrete, bendable concrete, elastic concrete), Composite concrete, Lightweight concrete, Reinforced concrete, Fibered concrete, Lightweight and integrated construction, Rail (railroad, railway), Subway, Road, Bridge, Resilience, Energy absorption, Fracture pattern, Non-linear, Strain changes, Beam, Ductility, Toughness, Insulating (insulation), Thin, Slab, Roof, Ceiling, Wall (partition), Building, Tower, Plan of mixture, Insulating reinforced lightweight pieces, 3d, Sandwich panel, Dry mix, Plaster, Foam, Expanded polystyrene (EPS), Polypropylene, Pozzolan, Porous matrix (Pored matrix), Mesh (lattice), Cement, RCS, ECRLC


► FULL TEXT:

- http://www.scribd.com/doc/11530978/Elastic-Composite-Reinforced-Lightweight-Concrete-ECRLC-as-a-type-of-Resilient-Composite-Systems-RCS-Revision2012EnglishAlsoPublishedAtijitce

- http://ia800305.us.archive.org/34/items/IJITCE/vol2no801.pdf [Also archived at: http://www.webcitation.org/6B2pFPpBh ] ;

- https://sites.google.com/site/NEWSTRUCTURE1 ;

- ...
In this paper, we present the general governing equations of electrodynamics and continuum mechanics that need to be considered while mathematically modelling the behaviour of electromagnetic acoustic transducers (EMATs). We consider the... more
In this paper, we present the general governing equations of electrodynamics and continuum mechanics that need to be considered while mathematically modelling the behaviour of electromagnetic acoustic transducers (EMATs). We consider the existence of finite deformations for soft materials and the possibility of electric currents, temperature gradients, and internal heat generation due to dissipation. Starting with Maxwell's equations of electromagnetism and balance laws of nonlinear elasticity, we present the governing equations and boundary conditions in incremental form in order to solve wave propagation problems of boundary value type.
Research Interests:
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