Nonlinear finite element

D.J. Benson, An Efficient, Accurate, Simple ALE Method for Nonlinear Finite Element Programs, Comput. Methods Appl. Mech. 79 (1989). 

The above problems of fabrication and performance present a challenging task of identification of the governing material mechanisms. Use of nonlinear finite element analysis enables close simulation of actual thermal and mechanical loading conditions when combined with measurable geometrical and material parameters. As we continue to investigate real phenomena, we need to incorporate non-linearities in behavior into carefully refined models in order to achieve useful descriptions of structural responses. 

The basic scheme for the numerical solution is the same as that used for the 1 -D model, except that in this case the solid temperature field used to solve the DAE system for each monolith channel must be calculated from the three-dimensional solid-phase energy balance equation. The three-dimensional energy balance equation can be solved by a nonlinear finite element solver (such as ABAQUS) for the solid-phase temperature field while a nonlinear finite difference solver for the DAE system calculates the gas-phase temperature and... 

H. Matthies and G. Strang, Int. J. Numer. Methods Engin., 14,1613 (1979). The Solution of Nonlinear Finite Element Equations. 

Belytschko T, Liu WK, Moran B. Nonlinear Finite Elements for Continua and Structures. Chichester Wiley, 2000. 

NONLINEAR FINITE ELEMENT ANALYSIS OF CONVECTIVE HEAT TRANSFER STEADY... 

Nonlinear Finite Element Analysis of Convective Heat Transfer Steady Thermal Stresses... 

NONLINEAR FINITE ELEMENT ANALYSIS OF CONVECTIVE HEAT TRANSFER STEADY THERMAL STRESSES IN A Zr02/FGM/Ti-6AI-4V COMPOSITE EFBF PLATE WITH TEMPERATURE-DEPENDENT MATERIAL PROPERTIES... 

Sound knowledge of the joint behavior is required for a successful design of bonded joints. To characterize the bonded joint, the loading in the joint and the mechanical properties of the substrates and of the adhesives must be properly defined. The behavior of the bonded joint is investigated by finite element (FE) analysis methods. While for the design of large structures a cost-efficient modeling method is necessary, the nonlinear finite element methods with a hyperelastic material model are required for the detailed joint analysis. Our experience of joint analysis is presented below, and compared with test results for mass transportation applications. 

NFE nonlinear finite element NRA nuclear reaction analysis... 

This paper applied the nonlinear finite element method (Automatic dynamic incremental nonlinear... 

In theory, finite element strength reduction factor method can be expressed as in the finite element static steady-state calculation, if the system is unstable, finite element calculations will not converge. Based on this principle, in the nonlinear finite element slope stability analysis, we obtain formula (1), using equation (1) to adjust the surface of the structure strength (cohesion c and friction angle reduction factor CO, so that the system reaches a critical failure state... 

The use of this modulus based on the maximum stress in the part should provide a conservative estimate of the time and temperature dependent deflection of the part. When the isochronous stress-strain curve is highly nonlinear or the part geometry is complex, finite-element structural analysis techniques can be used. Then, the complete nonlinear, isochronous stress-strain curve can be used in a nonlinear finite-element analysis or a linear effective modulus can be used in a linear analysis. 

The evaluation of the seismic response of a slope may be performed by different analysis methods in relationship with the level of complexity of the problem. The simplest approach is the pseudo-static method, and at the other extreme is complete nonlinear finite element modelling (FEM). 

Nowak, M. D., and Cherry, A. C. (1995), Nonlinear finite element modeling of the distal carpal arch, 1995 Advances in Bioengineering, pp. 321-322. 

T. Belytschko, E. K. Liu and B. Moran, Nonlinear Finite Element for Continua and Structures, John Wiley Sons, West Sussex, England, 2000. 

Ueno K, Liu YK (1987) A three dimensional nonlinear finite element model of lumbar intervertebral joint in torsion. Journal of Biomechanical Engineering 109 200-209... 

Owen DRJ, Hinton E (1986) Finite element in plasticity. Pineridge Press Limited, Swansea Supaviriyakit T, Pimanmas A, Wamitchai P (2008) Nonlinear finite element analysis of non-seismically detailed interior RC beam-column connection under reversed cyclic load. ScienceAsia 34 049-058... 

While a full scale experiment to investigate the seismic behavior of a real structure together with SSPW is hard to conduct, an analytical study with a well verified computational RC and soil model (Maekawa et al. 2003) can serve as an alternative to capture the overall efficiency of SSPW. In this study, the authors use a full three dimensional nonlinear finite element analysis of soil-structure-pore water systems. The applicability of the system was verified by shaking table experiments of top-heavy piles embedded in a liquefiable model foundation (Maki et al. 2004, 2005, Mohammed and Maekawa 2012 Mohammed et al. 2012a). Using this analytical platform, the effects of SSPW as a seismic countermeasure for the rafted pile foundation is discussed with regard to the base shear induced in the RC multistorey superstructure and its overall stability. Both cases of drained and undrained soils are considered in the analysis to clarify the potential effect of soil liquefaction. 

The estimated ultimate load of pile foundation is an important project and involves a number of challenges from the geotechnical and structural safety viewpoint. The strength reduction method of pile foundation and estimation criterion of ultimate load is studied based on nonlinear finite element and cusp catastrophe theory. The finite element limit analysis of pile is performed using the single reduction factor and two reduction factors of strength reduction method and the criterion of the cusp catastrophe curve method, and has been shown to be a reliable and objective method for estimating the ultimate load of pile. 

MARC-CDC, Nonlinear Finite Element Analysis Program, User Information Manual. Control Data Corporation, Minneapolis, Minnesota, 1976. 

Utku, S., Melosh, R., Islam, M. Salama, M. 1982. On nonlinear finite element analysis in single- multi- and parallel processors. Computers Structures, 15(l) 39—47. 

Matsco, M. M. Nonlinear Finite Element Analysis in Plastic Design. SPE ANTEC, pp. 651-54, May 1989. 

Keywords Self-cleaning mechanism, contact angle, static wetting, nonlinear finite element analysis, droplet membranes. 

The same analytical procedures are adopted as stated in the text and the nonlinear finite-element analysis given in the text under various loading conditions the boiler cavities are examined. Plates AIB.4 and AIB.5 summarized the results in the forms of stress-trajectories. These boiler holes or cavities have been discussed already in the text. 

Dynamics Nonlinear Finite Elements and Finite Temperature. 

Andruel, R.H., Dillard, D.A. and Holzer, S.M., Two- and three-dimensional geometrical nonlinear finite elements for analysis of adhesive joints. Int. J. Adhes. Adhes., 21, 17-34 (2001). 

In a more recent paper. Ho and Drzal [94] used a three-phase nonlinear finite-element analysis to investigate the stress transfer phenomenon in the singlefiber fragmentation test. The effect of fiber properties, interphase properties and thickness on the stress distribution in the vicinity of the fiber break was evaluated. Also, the stress fields for various fiber-matrix interface debonding conditions and the effect of frictional stress transfer were investigated. In this model, the fiber was assumed to be a linear elastic transversely isotropic material, the interphase as an elastic material and the matrix as a nonlinear material. It was found that... 

Fig. 23. Normalized maximum interfacial shear stress obtained from a nonlinear finite element analysis (NLFEM), empirical (ITS) equations, shear-lag and modified shear-lag equations as a function of fiber volume fraction [110].

---