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      • SCIESCOPUS

        A compressible finite element model for hyperelastic members under different modes of deformation

        Manna, M.C.,Sheikh, A.H.,Bhattacharyya, R. Techno-Press 2006 Structural Engineering and Mechanics, An Int'l Jou Vol.24 No.2

        The performance of a three dimensional non-linear finite element model for hyperelastic material considering the effect of compressibility is studied by analyzing rubber blocks under different modes of deformation. It includes simple tension, pure shear, simple shear, pure bending and a mixed mode combining compression, shear and bending. The compressibility of the hyperelastic material is represented in the strain energy function. The nonlinear formulation is based on updated Lagrangian (UL) technique. The displacement model is implemented with a twenty node brick element having u, ${\nu}$ and w as the degrees of freedom at each node. The results obtained by the present numerical model are compared with the analytical solutions available for the basic modes of deformation where the agreement between the results is found to be satisfactory. In this context some new results are generated for future references since the number of available results on the present problem is not sufficient enough.

      • SCIESCOPUS

        Nonlinear dynamic response and its control of rubber components with piezoelectric patches/layers using finite element method

        Manna, M.C.,Bhattacharyya, R.,Sheikh, A.H. Techno-Press 2010 Smart Structures and Systems, An International Jou Vol.6 No.8

        Idea of using piezoelectric materials with flexible structures made of rubber-like materials is quite novel. In this study a non-linear finite element model based on updated Lagrangian (UL) approach has been developed for dynamic response and its control of rubber-elastic material with surface-bonded PVDF patches/layers. A compressible stain energy density function has been used for the modeling of the rubber component. The results obtained are compared with available analytical solutions and other published results in some cases. Some results are reported as new results which will be useful for future references since the number of published results is not sufficient.

      • KCI등재후보

        Static analysis of rubber components with piezoelectric patches using nonlinear finite element

        M. C. Manna,A. H. Sheikh,R. Bhattacharyya 국제구조공학회 2009 Smart Structures and Systems, An International Jou Vol.5 No.1

        In order to reduce vibration or to control shape of structures made of metal or composites, piezoelectric materials have been extensively used since their discovery in 1880’s. A recent trend is also seen to apply piezoelectric materials to flexible structures made of rubber-like materials. In this paper a non-linear finite element model using updated Lagrangian (UL) approach has been developed for static analysis of rubber-elastic material with surface-bonded piezoelectric patches. A compressible stain energy function has been used for modeling the rubber as hyperelastic material. For formulation of the nonlinear finite element model a twenty-node brick element is used. Four degrees of freedom u, v and w and electrical potential ϕ per node are considered as the field variables. PVDF (polyvinylidene fluoride) patches are applied as sensors/actuators or sensors and actuators. The present model has been applied to bimorph PVDF cantilever beam to validate the formulation. It is then applied to study the smart rubber components under different boundary and loading conditions. The results predicted by the present formulation are compared with the analytical solutions as well as the available published results. Some results are given as new ones as no published solutions available in the literatures to the best of the authors’ knowledge.

      • KCI등재SCOPUS

        Originals : Effect of Integrated Use of Organic and Fertilizer N on Soil Microbial Biomass Dynamics , Turnover and Activity of Enzymes under Legume - cereal System in a Swell - shrink ( Typic Haplustert ) Soil

        (M . C . Manna),(A . Swarup) 한국환경농학회 2000 한국환경농학회지 Vol.19 No.5

        Quantifying the changes of soil microbial biomass and activity of enzymes are important to understand the dynamics of active soil C and N pools. The dynamics of soil microbial biomass C and N and the activity of enzymes over entire growth period of soybean-(Glycine max (L) Merr.)-wheat (Triticum aestivum L.) sequence on a Typic Haplustert as influenced by organic manure and inorganic fertilizer N were investigated in a field experiment. The application of farmyard manure at 4 to 16 Mg·ha^(-1)y^(-1)r^(-1) along with fertilizer nitrogen at 50 or 180 ㎏·ha^(-1) increased the mean soil microbial biomass from 1.12 to 2.05 fold over unmanured soils under soybean-wheat system. Irrespective of organic and chemical fertilizer N application, the soil microbial biomass was maximum during the first two months at active growing stage of the crops and subsequently declined with crop maturity. The mean annual microbial activity was significantly increased when manure and chemical fertilizer at 8 Mg·ha^(-1) and 50/180 N ㎏·ha^(-1), respectively were applied. The C turnover rate decreased by 47 to 72 % when the level of farmyard manure was increased from 4 to 8 and 16 Mg·ha^(-1). There were significant correlations between biomass C, available N, dehydrogenase, phosphatase and yield of the crops.

      • SCIESCOPUS

        Static analysis of rubber components with piezoelectric patches using nonlinear finite element

        Manna, M.C.,Sheikh, A.H.,Bhattacharyya, R. Techno-Press 2009 Smart Structures and Systems, An International Jou Vol.5 No.1

        In order to reduce vibration or to control shape of structures made of metal or composites, piezoelectric materials have been extensively used since their discovery in 1880's. A recent trend is also seen to apply piezoelectric materials to flexible structures made of rubber-like materials. In this paper a non-linear finite element model using updated Lagrangian (UL) approach has been developed for static analysis of rubber-elastic material with surface-bonded piezoelectric patches. A compressible stain energy function has been used for modeling the rubber as hyperelastic material. For formulation of the nonlinear finite element model a twenty-node brick element is used. Four degrees of freedom u, v and w and electrical potential ${\varphi}$ per node are considered as the field variables. PVDF (polyvinylidene fluoride) patches are applied as sensors/actuators or sensors and actuators. The present model has been applied to bimorph PVDF cantilever beam to validate the formulation. It is then applied to study the smart rubber components under different boundary and loading conditions. The results predicted by the present formulation are compared with the analytical solutions as well as the available published results. Some results are given as new ones as no published solutions available in the literatures to the best of the authors' knowledge.

      • KCI등재후보

        Nonlinear dynamic response and its control of rubber components with piezoelectric patches/layers using finite element method

        M.C. Manna,R. Bhattacharyya,A.H. Sheikh 국제구조공학회 2010 Smart Structures and Systems, An International Jou Vol.6 No.8

        Idea of using piezoelectric materials with flexible structures made of rubber-like materials is quite novel. In this study a non-linear finite element model based on updated Lagrangian (UL) approach has been developed for dynamic response and its control of rubber-elastic material with surface-bonded PVDF patches/layers. A compressible stain energy density function has been used for the modeling of the rubber component. The results obtained are compared with available analytical solutions and other published results in some cases. Some results are reported as new results which will be useful for future references since the number of published results is not sufficient.

      • KCI등재후보

        A high precision shear deformable element for free vibration of thick/thin composite trapezoidal plates

        S. Haldar,M. C. Manna 국제구조공학회 2003 Steel and Composite Structures, An International J Vol.3 No.3

        A high precision shear deformable triangular element has been proposed for free vibration analysis of composite trapezoidal plates. The element has twelve nodes at the three sides and four nodes inside the element. Initially the element has fifty-five degrees of freedom, which has been reduced to forty-eight by eliminating the degrees of freedom of the internal nodes through static condensation. Plates having different side ratios (b/a), boundary conditions, thickness ratios (h/a=0.01, 0.1 and 0.2), number of layers and fibre angle orientations have been analyzed by the proposed shear locking free element. Trapezoidal laminate with concentrated mass at the centre has also been analyzed. An efficient mass lumping scheme has been recommended, where the effect of rotary inertia has been included. For validation of the present element and formulation few results of isotropic trapezoidal plate and square composite laminate have been compared with those obtained from open literatures. The numerical results for composite trapezoidal laminate have been given as new results.

      • KCI등재
      • SCIESCOPUS

        A high precision shear flexible element for bending analysis of thick/thin triangular plate

        Haldar, S.,Das, P.,Manna, M.C. Techno-Press 2004 Structural Engineering and Mechanics, An Int'l Jou Vol.18 No.1

        A high precision shear deformable triangular element has been proposed for bending analysis of triangular plate. The element has twelve nodes at the three sides and four nodes inside the element. Initially the element has thirty-five degrees of freedom, which has been reduced to thirty by eliminating the degrees of freedom of the internal nodes through static condensation. Plates having different boundary conditions, side ratios (b/a) and thickness ratios (h/a = 0.001, 0.1 and 0.2) have been analyzed using the proposed shear locking free element. Concentrated and uniformly distributed transverse loads have been used for the analysis. The formulation is made based on first order shear deformation theory. For validation of the present element and formulation few results of thin triangular plate have been compared with the analytical solutions. Results for thick plate have been presented as new results.

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