Based on Kirchhoff's hypothesis and relevant variational principles, this work presents an assumed hybrid-displacement finite element model to solve the bending problems of thin cracked plates subjected to static and dynamic loadings. To provide a potential method of non-destructive testing in evaluating the integrity o~ structure, natural vibrations of the thin cracked plate are also studied. Since the integrand of the associated functional contains the second-order derivatives of the lateral displacement of the plate, the compatibility requirements for the lateral displacement and its normal slope at inter-element boundaries are enforced in an integral sense through the use of a Lagrangian multiplier technique. The proper singular behaviours for the bending stresses and strains are incorporated in the singular elements around the crack-tips. The static and dynamic symmetric and anti-symmetric bending stress intensity factors can be directly computed. To avoid underestimation of dynamic bending stress intensity factors, the important role of the singular elements is also demonstrated. Good correlations between the computed results and available solutions in the literature show the accuracy and efficiency of the present work. Some new solutions for the bending thin cracked plates are then drawn.
This study aims to develop rice bran-based skin care products with moisturizing, whitening and anti-wrinkle effects similar to Pitera (a natural by-product of sake lees fermentation) but without alcohol irritation for sensitive skin. To achieve this objective, bran from organic indica rice was fermented by lactic acid bacteria in a safe and pollution-free environment. In terms of anti-oxidation, the DPPH.free radical scavenging ability of 100.0 mg/mL bran fermentation solution was 71.4% of that of vitamin C of the same concentration; and its Fe 2+ chelating ability was 79.0% of that of EDTA of the same concentration. Moreover, the superoxide anion scavenging ability of 10.0 mg/mL bran fermentation solution was equivalent to 42.9% of that of BHT of similar concentration. With respect to inhibition of melanin synthesis, the bran fermentation solution's ability to inhibit the synthesis of dopachrome, the intermediate of melanin, was positively correlated to its concentration, i.e., the higher the concentration of the bran fermentation solution was, the better the inhibition ability was. The IC 50 of bran fermentation solution was 9.23 mg/mL while, for comparison, that of arbutin was 0.52 mg/mL. Furthermore, according to the cell survival assay, no obvious cytotoxic effect was found with the increase of the concentration of the bran fermentation solution. As for whitening evaluation, the whitening improvement rate was 9.29% in 20% dilution, 5.36% in 15% dilution, 3.69% in 10% dilution, 2.43% in 5% dilution, 0.35% in 1% dilution in a 30-day test. In the moisturizing evaluation, the moisturizing improvement rate was 44.31% in 20% dilution, 20.48% in 15% dilution, 7.68% in 10% dilution, 6.02% in 5% dilution and 2.02% in 1% dilution. Based on the experimental results, the alcohol-free rice bran fermentation solution not only did not cause irritation but also had antiaging, melanin synthesis inhibition, whitening and moisturizing effects. Therefore, it is advisable to add rice bran fermentation solution to cleaning mousse, shower gel, serum and essence to turn bran from compost of agricultural waste (cradle to grave) into a natural raw material (cradle to cradle) of the cosmetic industry, creating new value of rice bran.
(1) Background: Clitoria ternatea (butterfly pea), a plant species belonging to the Leguminosae (Fabaceae) family, is useful for medical treatments and has been used in folk medicines and to cure different diseases. The antioxidation ability of the total phenolic compounds of butterfly pea is useful for preserving flavor, and colour and for preventing vitamin destruction in processed foods. In this study, a butterfly pea flower fermentation solution was added to cosmetics as a whiting ingredient. (2) Methods: After the phenolics, flavonoids and ascorbic acid content of the butterfly pea flower extraction had been determined, lactic acid bacteria fermented the extraction. The whitening and moisturizing effect was assayed by SSC3 and NF333 analyzers. (3) Results: This study demonstrated that the butterfly pea flower fermentation solution has free radical scavenging ability, a reducing power in high concentrations, a moisturizing effect, and a whiting effect. (4) Conclusions: The results showed that the butterfly pea flower fermentation solution not only inhibits redness, itching, allergies, and irritation to the skin, but also has antioxidation properties and promotes moisture retention and whitening effects, and the results increase as the concentration increases. Therefore, butterfly bean flowers may be suitable as a raw material for natural beauty care products.
In this study, leftover roots of Sansing green onions grown without toxic chemicals in Sansing Township, Ilan County, Taiwan were used as a raw material of skincare products. The raw material was extracted from the green onion roots by ultrasound in a low-temperature, safe and pollution-free environment. We hope to develop cleansers and other facial care products made of this natural, environmentally friendly, safe and affordable raw material so that people with sensitive skin can also use these products. We also hope that this study can contribute to circular economy and achieve the goal of green innovation by recycling the leftover roots. In terms of anti-oxidation, the DPPH free radical scavenging ability of 2.5 mg/mL green onion root extract was equivalent to 98% of that of 1 mg/mL BHT; the Fe2+ chelating ability was equivalent to 87.0% of that of 0.02 mg/mL EDTA; the superoxide anions scavenging ability of 2.5 mg/mL green onion root extract was equivalent to 84.2% of that of 1 mg/mL BHT and 80.4% of that of 0.05 mg/mL vitamin C. With respect to melanin synthesis inhibition, the green onion root extract's ability to inhibit dopachrome, the intermediate product of melanin, was positively correlated to its concentration, i.e., the higher the concentration of the green onion root extract, the better the inhibition ability. The IC50 of green onion root extract was 1.83 mg/mL, while, for comparison, the IC50 of vitamin C was 0.62 mg/mL. Furthermore, according to the cell survival assay, no obvious cytotoxic effect was found with the increase in the concentration of the green onion root extract. The whitening effect improved after 30 days of test. The improvement rate was 5.6% for 2.5 mg/mL green onion root extract, 3.1% for 1.25 mg/mL extract, and 1.7% for 0.625 mg/mL extract. The moisture retention also improved after 30 days of test. The moisture retention improvement rate was 22.7% for 2.5 mg/mL green onion root extract, 21.6% for 1.25 mg/mL extract, and 15.4% for 0.625 mg/mL extract. Based on the experiments, the green onion root extract obtained from ultrasound not only did not cause skin allergy and irritation but also showed anti-aging, melanin synthesis inhibition, whitening and moisture retention effects. The results showed that the green onion root extract can improve the moisture retention and whitening effect of the mask.
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