ISOPARAMETRIC GRADED FINITE ELEMENTS FOR NONHOMOGENEOUS ISOTROPIC AND ORTHOTROPIC MATERIALS

By Jeong-Ho Kim, Glaucio H. Paulino. 2002

446 citations recorded by the source corpus.

View Paper: https://www.semanticscholar.org/paper/47fd1550a7382a1c8f190364bb50698be7e1afa7

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Mechanics of Materials

Citations in the corpus

Thermo-elastic optimization of material distribution of functionally graded structures by an isogeometrical approach (2014, background): “For instance, Lü et al. (2006) presented a two-dimensional (2D) thermo-elasticity solution for functionally graded thick beams.”
T-stress, mixed-mode stress intensity factors, and crack initiation angles in functionally graded materials: a unified approach using the interaction integral method (2003, methodology): “The graded elements, which are based on the generalized isoparametric formulation (GIF) [11], are used in this work and, in general, they show superior performance to conventional homogeneous elements (constant element-wise material property) [54].”
Dynamic analysis of two-dimensional functionally graded thick hollow cylinder with finite length under impact loading (2009, methodology): “On the other hand, using a graded finite element in which the material property field is graded continuously through the elements, the accuracy can be improved without refining the mesh size [21,22].”
A modified Q4/Q4 element for topology optimization (2009, background): “These materials have been modeled by graded finite elements (Kim and Paulino 2002) in which the material properties are interpolated by means of the element shape functions.”
Honeycomb Wachspress finite elements for structural topology optimization (2009, methodology): “Based on the concept of graded elements (Kim and Paulino 2002; Silva et al. 2007), we use shape functions to obtain the density within each element and throughout the design domain:”
Local integro-differential equations with domain elements for the numerical solution of partial differential equations with variable coefficients (2005, background): “Special graded elements have been proposed by Kim and Paulino [ 5 ] to improve the conventional FEM for FGMs.”
Cohesive fracture model for functionally graded fiber reinforced concrete (2010, background): “Similarly, in the GIF, material properties (e.g. fracture energy of FRC, GFRC) at Gaussian integration points are also interpolated from nodal points (GFRCi) using the same shape functions, GFRC = ∑ nel i=1 NiGFRCi; ð7Þ where nel is the number of nodes in an element.”
A new approach to compute T-stress in functionally graded materials by means of the interaction integral method (2004, methodology): “Therefore one obtains Mlocal as Mlocal 1⁄4 ðM1Þlocal 1⁄4 ðM1Þglobal cos hþ ðM2Þglobal sin h: ð47Þ For the sake of generality, we determine derivatives of material properties using shape function derivatives of finite elements [23,62].”
Elastic-plastic analysis of two-dimensional functionally graded materials under thermal loading (2009, background): “Since Kokini and Case (1997) used a constant heat flux of 335 kW/m(2) to initiate surface edge crack in functionally graded thermal barrier coating.”
Boundary integral based graded element for elastic analysis of 2D functionally graded plates (2012, background): “Unlike the graded finite element (Kim and Paulino, 2002) and the conventional finite element (Ayhan, 2009) mentioned above, the material definition in the proposed graded element can retain its natural variation, without any approximation.”
Boundary knot method for heat conduction in nonlinear functionally graded material (2011, methodology): “However, the conventional FEM is inefficient for handling materials whose physical property varies continuously; BEM needs to treat the singular or hyper-singular integrals [17,18], which is mathematically complex and requires additional computing costs.”