Evaluation of geometrically nonlinear and elastoplastic behavior of functionally graded plates under mechanical loading–unloading

Arslan, Kemal; Güneş, Recep; Apalak, M. Kemal; Reddy, J. N.

doi:10.1080/15376494.2020.1829760

Cited by 4 publications

(3 citation statements)

References 52 publications

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“…This approach is very easy to use and greatly simplifies the optimization step (because only a few parameters need to be optimized). Very similar equations were used by Arslan et al [64].…”

Section: Explicit Function-based Modelsmentioning

confidence: 99%

“…Research pertaining to the optimization of FGMs is comprised almost entirely of single-objective studies [40,[57][58][59][60][61][62][63]. However, the design of practical FGM structures often require [64] the maximization or minimization of multiple, often conflicting, objectives. The first study considering multi-objective optimization of FGMs was performed by Huang et al [65].…”

Section: -2009mentioning

confidence: 99%

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Optimal Design of Functionally Graded Parts

Nayak

Armani

2022

Metals

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Several additive manufacturing processes are capable of fabricating three-dimensional parts with complex distribution of material composition to achieve desired local properties and functions. This unique advantage could be exploited by developing and implementing methodologies capable of optimizing the distribution of material composition for one-, two-, and three-dimensional parts. This paper is the first effort to review the research works on developing these methods. The underlying components (i.e., building blocks) in all of these methods include the homogenization approach, material representation technique, finite element analysis approach, and the choice of optimization algorithm. The overall performance of each method mainly depends on these components and how they work together. For instance, if a simple one-dimensional analytical equation is used to represent the material composition distribution, the finite element analysis and optimization would be straightforward, but it does not have the versatility of a method which uses an advanced representation technique. In this paper, evolution of these methods is followed; noteworthy homogenization approaches, representation techniques, finite element analysis approaches, and optimization algorithms used/developed in these studies are described; and most powerful design methods are identified, explained, and compared against each other. Also, manufacturing techniques, capable of producing functionally graded materials with complex material distribution, are reviewed; and future research directions are discussed.

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“…This approach is very easy to use and greatly simplifies the optimization step (because only a few parameters need to be optimized). Very similar equations were used by Arslan et al [64].…”

Section: Explicit Function-based Modelsmentioning

confidence: 99%

Section: -2009mentioning

confidence: 99%

Optimal Design of Functionally Graded Parts

Nayak

Armani

2022

Metals

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“…Unloading is also important in the elastic–plastic contact problem. The unloading law is commonly used to estimate energy loss [ 8 , 9 ], solve the coefficient of restitution [ 10 , 11 ] and measure material mechanical parameters [ 12 , 13 , 14 ]. An unloading model can quickly solve the contact response of force and displacement during the unloading process and calculate the residual deformation after unloading.…”

Section: Introductionmentioning

confidence: 99%

Unloading Model of Elastic–Plastic Half-Space Contacted by an Elastic Spherical Indenter

Xie,

Guo,

Ding

et al. 2024

Materials

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A new unloading contact model of an elastic–perfectly plastic half-space indented by an elastic spherical indenter is presented analytically. The recovered deformation of the elastic indenter and the indented half-space has been found to be dependent on the elastic modulus ratio after fully unloading. The recovered deformation of the indented half-space can be calculated based on the deformation of the purely elastic indenter. The unloading process is assumed to be entirely elastic, and then the relationship of contact force and indentation can be determined based on the solved recovered deformation and conforms to Hertzian-type. The model can accurately predict the residual indentation and residual curvature radius after fully unloading. Numerical simulations are performed to demonstrate the assumptions and the unloading model. The proposed unloading model can cover a wide range of indentations and material properties and is compared with existing unloading models. The cyclic behavior including loading and unloading can be predicted by combining the proposed unloading law with the existing contact loading model. The combined model can be employed for low-velocity impact and nanoindentation tests and the comparison results are in good agreement.

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