Lei Bao^1,2, Christophe Schuman¹, Jean-sébastien Lecomte¹, Marie-Jeanne Philippe¹, Xiang Zhao², Liang Zuo², Claude Esling¹

CMC-Computers, Materials & Continua, Vol.15, No.2, pp. 113-128, 2010, DOI:10.3970/cmc.2010.015.113

Abstract The mechanisms of small plastic deformation of titanium (T40) during cold rolling and channel die compression by means of "interrupted in situ" EBSD orientation measurements were studied. These interrupted EBSD orientation measurements allow to determine the rotation flow field which leads to the development of the crystallographic texture during the plastic deformation. Results show that during rolling, tension twins and compression twins occur and various glide systems are activated, the number of grains being larger with twins than with slip traces. In channel die compression, only tension twins are observed in some grains, whereas slip More >

Thang Duy Vu, Ruediger Schmidt¹

The International Conference on Computational & Experimental Engineering and Sciences, Vol.13, No.2, pp. 35-42, 2009, DOI:10.3970/icces.2009.013.035

Abstract Two geometrically nonlinear finite plate elements incorporating piezoelectric layers are presented, based either on first- or third-order shear deformation theory. Numerical tests are performed for the sensor output voltage of a piezolaminated plate. More >

T. Tsutsui¹, H. Obiya¹, K. Ijima¹

The International Conference on Computational & Experimental Engineering and Sciences, Vol.10, No.2, pp. 71-76, 2009, DOI:10.3970/icces.2009.010.071

Abstract This study shows an algorithm, which solves the contact phenomenon without friction with large deformation for plane frame structures. Particularly, the study mentions about a technique for the case when contact node slide to the next-door element from edge of the contact element. The technique is to use the re-division and uniting of the element, in order to avoid the computational unstable territory around the edge of the contact element. Furthermore the authors consider about unstable territory of the contact point by some numerical examples. More >

Yongchang Cai^1,2, J.K. Paik³, Satya N. Atluri³

CMES-Computer Modeling in Engineering & Sciences, Vol.54, No.3, pp. 335-368, 2009, DOI:10.3970/cmes.2009.054.335

Abstract This paper presents a simple finite element method, based on assumed moments and rotations, for geometrically nonlinear large rotation analyses of space frames consisting of members of arbitrary cross-section. A von Karman type nonlinear theory of deformation is employed in the updated Lagrangian co-rotational reference frame of each beam element, to account for bending, stretching, and torsion of each element. The Reissner variational principle is used in the updated Lagrangian co-rotational reference frame, to derive an explicit expression for the (12x12)symmetrictangent stiffness matrix of the beam element in the co-rotational reference frame. The explicit expression… More >

Yongchang Cai^1,2, J.K. Paik³, Satya N. Atluri³

CMES-Computer Modeling in Engineering & Sciences, Vol.53, No.2, pp. 123-152, 2009, DOI:10.3970/cmes.2009.053.123

Abstract This paper presents a simple finite element method, based on simple mechanics and physical clarity, for geometrically nonlinear large rotation analyses of space frames consisting of members of arbitrary cross-section. A co-rotational reference frame, involving the axes of each finitely rotated beam finite-element, is used as the Updated Lagrangian reference frame for the respective element. A von Karman type nonlinear theory of deformation is employed in the co-rotational reference frame of each beam element, to account for bending, stretching, and torsion of each element. An assumed displacement approach is used to derive an explicit expression… More >

H.Nguyen-Van¹, N.Mai-Duy¹ and T.Tran-Cong¹

CMES-Computer Modeling in Engineering & Sciences, Vol.49, No.2, pp. 81-112, 2009, DOI:10.3970/cmes.2009.049.081

Abstract This paper reports the development of a simple and efficient 4-node flat shell element with six degrees of freedom per node for the analysis of arbitrary shell structures. The element is developed by incorporating a strain smoothing technique into a flat shell finite element approach. The membrane part is formulated by applying the smoothing operation on a quadrilateral membrane element using Allman-type interpolation functions with drilling DOFs. The plate-bending component is established by a combination of the smoothed curvature and the substitute shear strain fields. As a result, the bending and a part of membrane More >

Rui Wang¹, Jianxun Zhang¹, Hisashi Serizawa², Hidekazu Murakawa²

CMES-Computer Modeling in Engineering & Sciences, Vol.44, No.1, pp. 97-114, 2009, DOI:10.3970/cmes.2009.044.097

Abstract In this paper, the inherent deformation of fillet welded thin plate T-joints is studied. The prediction procedure of inherent deformation consists of three parts: part one, a three dimensional (3D) thermo-elastic-plastic analysis using an in house finite element (FE) code of interactive substructure method (ISM) is utilized to obtain the welding distortions; part two, corresponding experiments are carried out to verify the computational results of ISM; part three, using the verified computational results, the inverse analysis is utilized to evaluate the welding inherent deformation. Based on the results in this study, an inherent deformations database More >

L.M.J.S. Dinis¹, R.M. Natal Jorge², J. Belinha³

CMES-Computer Modeling in Engineering & Sciences, Vol.44, No.1, pp. 1-34, 2009, DOI:10.3970/cmes.2009.044.001

Abstract The Natural Neighbour Radial Point Interpolation Method (NNRPIM) is extended to the large deformation analysis of non-linear elastic structures. The nodal connectivity in the NNRPIM is enforced using the Natural Neighbour concept. After the Voronoï diagram construction of the unstructured nodal mesh, which discretize the problem domain, small cells are created, the "influence-cells". These cells are in fact influence-domains entirely nodal dependent. The Delaunay triangles are used to create a node-depending background mesh used in the numerical integration of the NNRPIM interpolation functions. The NNRPIM interpolation functions, used in the Galerkin weak form, are constructed… More >

Wen-Hwa Chen¹, Cheng-Te Chi, Ming-Hsiao Lee

CMES-Computer Modeling in Engineering & Sciences, Vol.40, No.2, pp. 175-200, 2009, DOI:10.3970/cmes.2009.040.175

Abstract Based on an incremental formulation of element-free Galerkin method (EFGM), a highly efficient three-dimensional EFGM analysis procedure is proposed to deal with the structure with extremely large deformation. By this procedure, a fixed and uniform background grid, part of which coincides with the background cells employed in the conventional EFGM for numerical integration, is devised. The background grid is connected by uniformly distributed fictitious nodes which do not move during loading process even if extremely large deformation occurs. A deformable analysis domain, which is discretized by moving boundary nodes and interior nodes, is established for… More >

Sergia Colli¹, Massimiliano Gei¹, Davide Bigoni^1,2

CMES-Computer Modeling in Engineering & Sciences, Vol.40, No.1, pp. 29-62, 2009, DOI:10.3970/cmes.2009.040.029

Abstract Incremental plane strain deformations superimposed upon a uniformly stressed and deformed nonlinear elastic (compressible) body are treated by developing {\it ad hoc} boundary integral equations that, discretized, lead to a novel boundary element technique. The approach is a generalization to compressible elasticity of results obtained by Brun, Capuani, and Bigoni (2003, Comput. Methods Appl. Mech. Engrg. 192, 2461-2479), and is based on a Green's function here obtained through the plane-wave expansion method. New expressions for Green's tractions are determined, where singular terms are solved in closed form, a feature permitting the development of a optimized More >