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A novel formulation of material nonlinear analysis in structural mechanics

Defence Technology（防务技术） 2021年第1期17卷 36-49页

作者： Himanshu Gaur Anupam Srivastav Institute of Structural Mechanics Bauhause Universitat WeimarMarienstrasse 15D-99423WeimarGermany Department of Civil Engineering Middle East CollegeMuscatOman

This article demonstrates a novel approach for material nonlinear *** analysis procedure eliminates tedious and lengthy step by step incremental and then iterative procedure adopted classically and gives direct results in the linear as well as in nonlinear range of the material *** of elastic moduli is ***,stress and strain functions are used as the material input in the analysis *** stress and strain functions are directly derived from the stress-strain behavior of the material by the method of curve *** way,the whole stress-strain diagram is utilized in the analysis which naturally exposes the response of structure when loading is in nonlinear range of the material *** is found that it is an excellent computational procedure adopted so far for material nonlinear analysis which gives very accurate results,easy to adopt and simple in *** method eliminates all types of linearity assumptions in basic derivations of equations and hence,eliminates all types of possibility of errors in the analysis procedure as *** it is required to know stress distribution in the structural body by proper modelling and structural idealization,the proposed analysis approach can be regarded as stress-based analysis *** problems such as uniaxial problem,beam bending,and torsion problems are *** is found that approach is very suitable for solving the problems of fracture *** release rate for plate with center crack and double cantilever beam specimen is also *** approach solves the fracture problem with relative ease in strength of material style *** all problems,results are compared with the classical displacement-based liner theory.

关键词： Computational methods Material nonlinear analysis Fracture mechanics energy release rate etc

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