Recent advances in the method of forces: integrated force method of structural analysis

Patnaik, Surya N.; Coroneos, Rula M.; Hopkins, Dale A.

doi:10.1016/s0965-9978(97)00070-7

Cited by 14 publications

(10 citation statements)

References 25 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…The Dual Integrated Force Method (IFMD) was also proposed by Patnaik et al [14]. As IFMD is a dual form of IFM, both provide identical solutions for stresses and displacements.…”

Section: Introductionmentioning

confidence: 99%

Comparison between the stiffness method and the hybrid method applied to a circular ring

Insausti

Adarraga

Urruzola

et al. 2018

J Braz. Soc. Mech. Sci. Eng.

View full text Add to dashboard Cite

This study deals with the comparison of stresses and displacements of a circular ring obtained by two numerical formulations, namely the stiffness method and the hybrid method, applied to isoparametric quadrilateral elements. After explaining the formulation of the hybrid method in finite elements, an orthogonalization method proposed previously for hybrid elements is applied. Then, the computational cost per element of the stiffness method and of the hybrid method with and without orthogonalization has been evaluated for the first time. A circular ring loaded by two opposing forces is analyzed in order to compare the solution obtained by the hybrid method and the stiffness method with experimental and analytical results. The agreement between analytical and experimental results with those numerical is better in the case of the hybrid method than in the case of the stiffness method. It is observed that the element ratio needed to obtain a given relative error is one magnitude order greater in the stiffness method than in the case of the hybrid method.

show abstract

“…The Dual Integrated Force Method (IFMD) was also proposed by Patnaik et al [14]. As IFMD is a dual form of IFM, both provide identical solutions for stresses and displacements.…”

Section: Introductionmentioning

confidence: 99%

Comparison between the stiffness method and the hybrid method applied to a circular ring

Insausti

Adarraga

Urruzola

et al. 2018

J Braz. Soc. Mech. Sci. Eng.

View full text Add to dashboard Cite

show abstract

“…The IFMD was also developed by Patnaik from the same formulation than the IFM, being the structure of the governing equation similar to SM, that is, their primary unknowns being displacements. The IFM and IFMD have similar governing equations, equivalent formulations and provide identical solutions for stresses and displacements.…”

Section: Introductionmentioning

confidence: 99%

“…The IFMD was also developed by Patnaik [12] from the same formulation than the IFM, being the structure of the governing equation similar to SM, that is, their primary unknowns being 664 I. ADARRAGA ET AL. displacements.…”

Section: Introductionmentioning

confidence: 99%

The dual integrated force method applied to unidirectional composites

Adarraga

Cantera

Romera

et al. 2014

Numerical Meth Engineering

View full text Add to dashboard Cite

SUMMARYThis paper shows the use of the dual integrated force method (IFMD) in finite elements method and its application to composite materials. This method was developed by S.N. Patnaik in isotropic materials, considering not only the equilibrium equations but also the compatibility conditions. In the IFMD, the principal unknowns are the displacements, and the structure of governing equation is similar to the stiffness method. It is shown that the governing equation of the IFMD is the same than in the case of the hybrid method of Pian. The method is applied to two examples, a cantilever beam of orthotropic material loaded at the end and one off-axis tensile test in a unidirectional composite specimen. The results of this method have been compared with the ones obtained from the application of the stiffness method and with analytical results.

show abstract

“…Research is in progress to alleviate the deficiency in the theory of solid mechanics. Benefits from the use of the completed strain formulation are being shown in continuum elasticity, [1][2][3][4][5][6] in finite element analysis, [7][8][9][10][11][12][13][14][15][16][17][18][19][20][21][22][23][24][25] and in design optimization. [26][27][28][29][30][31][32][33][34][35][36] The theory of strengths of materials began with the cantilever experiment conducted by Galileo in 1632.…”

Section: Introductionmentioning

confidence: 99%