On the experimental validation of Ludwick law to predict critical buckling load of nonlinear elastic columns

Jiao-Wang, Liu; Larriba, Carlos; Santiuste, Carlos

doi:10.1016/j.compstruct.2022.116237

Cited by 3 publications

(7 citation statements)

References 27 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Between the nonlinear elastic theories, modified Ludwick constitutive law is proved effective in characterizing the tensile response of flax fiber-reinforced biopolymer composite [ 13 ]. This law is also an enhanced version of the original Ludwick law by remedying the defect of the stress slope going to zero or infinity when the deformation (ε) approaches 0 of the original Ludwick formulation, see Figure 1 .…”

Section: Methodsmentioning

confidence: 99%

“…Using Equation (1), the modified Ludwick Law, and according to the statement of Saetiew and Chucheepsakul [ 29 ] that for small values of strains, most elastic material with nonlinear behavior can be approximated to linear elastic materials, the analytical approximation of the critical buckling load, Equation (6), was developed for a pinned–pinned nonlinear elastic column, assuming small deformations.

where L is the column length and E , n and ε 0 are the parameters of the modified Ludwick law [ 13 ].…”

Section: Methodsmentioning

confidence: 99%

“…The fully biodegradable composite plates were manufactured by compression molding. Pressure was applied by a universal testing machine and temperature by two thermo-heating plates [ 13 ]. First, the flax fabrics and the PLA pellets were previously dried in the oven at 65 °C for half an hour to remove humidity.…”

Section: Methodsmentioning

confidence: 99%

“…The modified Ludwick law [ 12 ] was developed to predict the mechanical behavior of the flax fiber-reinforced polymer composite in nonlinear buckling problems. Moreover, it was experimentally validated for the first time to effectively predict the buckling behavior of the nonlinear elastic column [ 13 ].…”

Section: Introductionmentioning

confidence: 99%

“…These problems are intensified in the case of natural materials because their properties are much more variable and depend on other factors such as state of conservation, harvest conditions and growing region. The modified Ludwick constitutive model was experimentally validated in predicting the critical buckling load of nonlinear elastic columns in previous work [ 13 ]. As a result, the analytical and numerical estimations of the critical buckling load of rectangular green composite columns predicted accurately the experimental results.…”

Section: Introductionmentioning

confidence: 99%

See 4 more Smart Citations

Prediction of Critical Buckling Load on Open Cross-Section Columns of Flax/PLA Green Composites

et al. 2022

Self Cite

View full text Add to dashboard Cite

The present work aims to analyze the buckling behavior of nonlinear elastic columns with different open cross-sections and slenderness ratios to verify the limits of the modified Ludwick law to predict the critical buckling load. The results of the analytical formulation based on the modified Ludwick law are compared with a FEM numerical model using the Marlow hyperelastic behavior and experimental results conducted on flax/PLA specimens with three different open cross-sections. The comparative results show that the numerical predictions agree with the experimental results in all the cases. The FEM model can exactly reproduce the buckling behavior of the C-section columns. However, the prediction errors for the C90 and C180 columns are higher than for the C60 columns. Moreover, the theoretical estimations indicate that the C90 cross-section column is the limit of application of the modified Ludwick law to predict the critical buckling load of nonlinear elastic columns with open cross-sections, and the C180 column is out of the prediction limits. Generally, the numerical and theoretical models underestimated the scattering effects of the predictions because more experimental variables were not considered by the models.

show abstract

Section: Methodsmentioning

confidence: 99%

where L is the column length and E , n and ε 0 are the parameters of the modified Ludwick law [ 13 ].…”

Section: Methodsmentioning

confidence: 99%

Section: Methodsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

Prediction of Critical Buckling Load on Open Cross-Section Columns of Flax/PLA Green Composites

et al. 2022

Self Cite

View full text Add to dashboard Cite

show abstract

Enhanced biodegradability and mechanical properties in green composites: a Taguchi approach

Pawar,

Malagi,

Jadhav

et al. 2024

Discov Appl Sci

View full text Add to dashboard Cite

Degradation of Mechanical Properties of Flax/PLA Composites in Hygrothermal Aging Conditions

Wang,

Abenojar,

Martínez

et al. 2024

Polymers

Self Cite

View full text Add to dashboard Cite

The main advantage of green composites is their biodegradability, but this biodegradability can also be considered a drawback if the degradation appears during the service life of the component. Therefore, the study of the mechanical behavior of green composites after hygrothermal aging tests is necessary to analyze their degradation process. This study aims to comprehensively analyze the hygrothermal aging behavior and aging mechanism of flax-fiber-reinforced polylactic acid (PLA) biocomposites. The fully biodegradable composites are manufactured by compression molding. In addition, the influence of atmospheric-pressure plasma treatment on the mechanical properties of the biocomposite is studied. Specimens are exposed to water vapor and 40 °C environmental conditions in a stove for up to 42 days. Several specimens of each type are taken out at regular intervals and tested to examine the water absorption, mechanical properties, and thermal characterization. The results show that the stiffness was significantly reduced after 24 h due to matrix degradation, while the strength was reduced only after three weeks.

show abstract

On the experimental validation of Ludwick law to predict critical buckling load of nonlinear elastic columns

Cited by 3 publications

References 27 publications

Prediction of Critical Buckling Load on Open Cross-Section Columns of Flax/PLA Green Composites

Prediction of Critical Buckling Load on Open Cross-Section Columns of Flax/PLA Green Composites

Enhanced biodegradability and mechanical properties in green composites: a Taguchi approach

Degradation of Mechanical Properties of Flax/PLA Composites in Hygrothermal Aging Conditions

Contact Info

Product

Resources

About