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Unified elastoplastic finite difference and its application

Applied Mathematics and Mechanics(English Edition) 2013年第4期34卷 457-474页

作者：马宗源廖红建党发宁 School of Civil Engineering and Architecture Xi'an University of Technology Department of Civil Engineering Xi'an Jiaotong University

Two elastoplastic constitutive models based on the unified strength the- ory （UST） are established and implemented in an explicit finite difference code, fast Lagrangian analysis of continua （FLAC/FLAC3D）, which includes an associated/non- associated flow rule, strain-hardening/softening, and solutions of singularities. Those two constitutive models are appropriate for metallic and strength-different （SD） materials, respectively. Two verification examples are used to compare the computation results and test data using the two-dimensional finite difference code FLAC and the finite element code ANSYS, and the two constitutive models proposed in this paper are verified. Two application examples, the large deformation of a prismatic bar and the strain-softening be- havior of soft rock under a complex stress state, are analyzed using the three-dimensional code FLAC3D. The two new elastoplastic constitutive models proposed in this paper can be used in bearing capacity evaluation or stability analysis of structures built of metallic or SD materials. The effect of the intermediate principal stress on metallic or SD mate- rial structures under complex stress states, including large deformation, three-dimensional and non-association problems, can be analyzed easily using the two constitutive models proposed in this paper.

关键词： elastoplastic constitutive model unified strength theory explicit finite difference effect of intermediate principal stress

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Unsteady Electromagnetic Free Convection Micropolar Fluid Flow through a Porous Medium along a Vertical Porous Plate

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Open Journal of Applied Sciences 2020年第11期10卷 701-718页

作者： Mohammad Rafiqul Islam Sonia Nasrin Md. Mahmud Alam Department of Mathematics Bangabandhu Sheikh Mujibur Rahman Science and Technology University Gopalganj Bangladesh Department of Mathematics Jagannath University Dhaka Bangladesh Mathematics Discipline Khulna University Khulna Bangladesh

Unsteady electromagnetic free convection flows of two-dimensional micropolar fluid through in a porous medium parallel to a vertical porous plate have been investigated numerically. Similarity analysis has been used to transform the governing equations into its non-dimensional form by using the explicit finite difference method to obtain numerical solutions. Estimated results have been gained for various values of Prandtl number, Grashof number, material parameters, micropolar parameter, electric conductivity, electric permeability, thermal relaxation time and the permeability of the porous medium. The effects of pertinent parameters on the velocity, electric induction, magnetic induction, microrotation and temperature distributions have been investigated briefly and illustrated graphically.

关键词： Micropolar Fluid Free Convection Porous Medium explicit finite difference

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