Elasto-plastic behaviour of cantilever beams containing varied stress concentration cut out features

Meguid, S. A.

doi:10.1007/s10999-021-09541-1

Cited by 2 publications

(2 citation statements)

References 12 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…As a first example, a 3D cantilever beam with a rectangular cut out feature 63 is considered. Often, cut out features or openings are introduced into machine components due to specific design requirements.…”

Section: Resultsmentioning

confidence: 99%

Development of GPU‐based matrix‐free strategies for large‐scale elastoplasticity analysis using conjugate gradient solver

Kiran,

Sharma,

Gautam

2024

Numerical Meth Engineering

View full text Add to dashboard Cite

In recent years, matrix‐free conjugate gradient (CG) solvers with graphics processing unit (GPU) acceleration have been effectively used to reduce the execution timings of finite element method (FEM)‐based engineering simulations. However, there is not much in the literature that discusses the application of matrix‐free CG solvers for elastoplasticity. The primary challenge is the presence of both elastic and plastic states, which introduce branching issues in the parallel computation of sparse matrix‐vector multiplication (SpMV). The current work proposes an efficient split kernel strategy for elastoplasticity that segregates elements in elastic and plastic zones and allows the application of standard GPU‐based matrix‐free SpMV strategies in the literature to elastoplastic simulation. The proposed strategy avoids branching issues, facilitates coalesced memory access, allows efficient usage of on‐chip memory, and uses minimum storage to realize large‐scale simulation on a GPU with limited memory. We also propose matrix‐free SpMV strategies for GPU implementation based on an element‐by‐element technique that makes efficient use of memory hierarchy available in a GPU. The computational efficiency of the proposed strategies is demonstrated over three large‐scale benchmark examples from elastoplasticity, and the performance results are compared with GPU optimized node‐based and degrees of freedom (DOF)‐based matrix‐free strategies. The results show that the splitting of computation is most suitable for low plasticity problems, where most of the matrix‐free strategies show significant speedups with respect to single kernel strategy for elastoplasticity. The proposed element‐by‐element strategy using node‐wise thread allocation is found to have the best performance, achieving up to 7.16 and 3.35 speedup over node‐based and DOF‐based strategy, respectively. For problems with higher amounts of plasticity, the proposed strategies perform slightly better and achieve modest speedups due to advantages in the initial stages of Newton iterations. In terms of wall‐clock timings, the proposed matrix‐free solver is found to be up to 2 faster than GPU optimized assembly‐based elastoplasticity solver.

show abstract

Section: Resultsmentioning

confidence: 99%

Development of GPU‐based matrix‐free strategies for large‐scale elastoplasticity analysis using conjugate gradient solver

Kiran,

Sharma,

Gautam

2024

Numerical Meth Engineering

View full text Add to dashboard Cite

show abstract

“…Meguid [12] investigated the elastic-plastic stress density of cantilever elements with different geometries under certain load. Rastgoo & Amirian [13] carried out stress analysis for different cross-section ratios of a fixed beam under parabolic loading using the Airy Stress Function.…”

Section: Introductionmentioning

confidence: 99%

Elastic-Plastic Stress Analysis of Steel Fiber Reinforced Composite Plates Under Axial Load

Yılmaz

2022

EJRnD

View full text Add to dashboard Cite

Composite materials, obtained by combining two or more materials; It is defined as a new type of material with high strength, high rigidity and lightness. Composite plates are structural elements that are used in machines and structures under different loads, consist of at least two types of materials and can be produced in various constructions. In this study, elastic-plastic stress analysis of polymer matrix continuous fiber reinforced composite plate under axial load was solved with Airy Stress Function proposed as a 5th order non-uniform polynomial to solve the elasticity problem. Polyethylene matrix composite reinforced with steel fibers was taken as the plate material and the material was accepted as ideal elastic-plastic. Tsai-Hill Yield Criterion was used for the plastic solution. According to the results of the analysis, as the fiber angle increased in the composite plate, the plastic stress limit decreased, the increase in the fiber angle decreased the plastic stress limit, and the decrease in the plastic stress limit caused the residual stresses to increase.

show abstract

Elasto-plastic behaviour of cantilever beams containing varied stress concentration cut out features

Cited by 2 publications

References 12 publications

Development of GPU‐based matrix‐free strategies for large‐scale elastoplasticity analysis using conjugate gradient solver

Development of GPU‐based matrix‐free strategies for large‐scale elastoplasticity analysis using conjugate gradient solver

Elastic-Plastic Stress Analysis of Steel Fiber Reinforced Composite Plates Under Axial Load

Contact Info

Product

Resources

About