Moment-curvature based elasto-plastic model for large deflection of micro-beams under combined loading

Patel, Bhakti N.; Pandit, D.; Srinivasan, Sivakumar M.

doi:10.1016/j.ijmecsci.2017.10.010

Cited by 7 publications

(2 citation statements)

References 22 publications

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“…The material starts to wrinkle under loads, which was modeled by adopting a non-linear moment–curvature relation. Patel et al [ 10 ] have performed a non-linear analysis of micro-beams. They were structural elements of micro-electro-mechanical systems (MEMS) and nano-electro-mechanical systems (NEMS).…”

Section: Introductionmentioning

confidence: 99%

“…The discussed studies were mainly related to two issues: non-linear analyses of construction elements (mainly reinforced concrete) and non-linear models of hyper-elastic constitutive materials and their utilization. In some cases, the cyclic load of the system that usually generates a hysteretic response is taken under consideration ([ 6 , 10 , 11 , 21 , 30 , 31 ]). The studies feature a common theme that is creating models of constitutive materials or elements—using algebraic or differential mathematical relations describing the stress–strain or moment–curvature relation.…”

Section: Introductionmentioning

confidence: 99%

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Matrix Description of Non-Linear Properties of Materials or Structural Components—Idea and Application Examples

Janiak¹

2021

Materials

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Numerical methods are widely used in structural analysis problems. In the cases of the most complex and practical problems, they are often the only way to obtain solutions, as analytical methods prove ineffective. The motivation for this paper was the desire to extend the scope of numerical methods to cover the problems of creating constitutive models of structural materials. The aim of this research was to develop a matrix or numerical discrete constitutive model of materials. It presents the general assumptions of the developed method for modeling the physical properties of materials. The matrix model is only useful with an appropriate numerical algorithm. Such an algorithm was created and described in this paper. Based on its findings, computer software was developed to perform numerical simulations. Presented calculation examples confirmed the effectiveness of the developed method to create constitutive matrix models of various typical materials, such as steel, but also, e.g., hyper-elastic materials. It also presents the usefulness of constitutive matrix models for simulations of simple stress states and analyses of structural elements such as reinforced concrete. All presented examples involved the physical nonlinearity of the materials. It is proved that the developed matrix constitutive model of materials is efficient and quite versatile. In complex analyses of structures made of nonlinear materials, it can be used as an effective alternative to classical constitutive or analytical models based on elementary mathematical functions.

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Section: Introductionmentioning

confidence: 99%