Ultra-High Strength Concrete (UHPC) has been widely used in construction with many advantages such as high compressive and tensile strength, high durability, and waterproofing. This paper developed an Isogeometric analysis (IGA) for static steel UHPC composite slab analysis. High-order shear strains using refined plate theory are considered when constructing equations describing plate behavior using the Isogeometric method. Various numerical examples have been performed and compared with analytical methods from previous studies as well as with the finite element method, showing the high accuracy of the proposed method in this study. The influence of plate parameters, such as the thickness of steel and concrete layers, on displacement, was investigated in detail.

This study presents an integrated mathematical criterion for predicting the compressive strength of ultra-high-performance concrete (UHPC). As the demand for advanced concrete materials increases, understanding the factors influencing their mechanical properties becomes critical. The proposed model synthesizes various parameters, including material composition, curing conditions, and environmental factors, to develop a robust predictive framework. Through extensive experimental validation, the model demonstrates high accuracy in estimating compressive strength, thereby providing a valuable tool for engineers and researchers in optimizing UHPC formulations. This research contributes to the advancement of sustainable construction practices by facilitating the design of high-performance concrete structures with enhanced durability and strength.

This study investigated the free vibration behavior of functionally graded plates using iso-geometric finite element analysis(IGA). The effective material properties were estimated through the rule of mixtures, accounting for composition changes governed by a power law. To achieve this, an efficient computational framework based on IGA was developed, utilizing NURBS (Non-uniform Rational B-Spline) basis functions for structural discretization. The analysis focused on assessing the impact of geometry and material gradation parameters on the natural frequencies of square plates under various boundary conditions. Several numerical examples were presented to demonstrate the effectiveness of the proposed approach, and the results were validated by comparing them with other published models. The study covered both isotropic and functionally graded materials, specifically Al/Al2O3 and Al/ZrO2, to examine the variations in their natural frequency responses. The findings revealed a significant influence of boundary conditions on the frequency response of Al/Al2O3. The research thus provided important insights into the vibrational characteristics of different materials, considering various gradation schemes, geometrical modifications, and boundary conditions, offering valuable guidance for material selection in specific applications.

The study examines the behaviour of waves propagating through a homogeneous, isotropic thermoelastic medium under modified micropolar Green-Lindsay (MMG-L) model along with hyperbolic two-temperature (HTT) parameter.The governing Eqs. are formulated and explained after reducing to two dimension and a dimensionless form. Amplitude ratios are obtained for various waves namely Longitudinal waves (LD-wave), Transverse wave (T-wave), Coupled Displacement-I wave (CD-I wave) and Coupled Displacement-II wave (CD-II wave), for the considered model. This article distinctively explores the influence of the HTT parameter on wave propagation within the modified Green-Lindsay (MG-L)model. Amplitude ratios are presented graphically to depict the influence of HTT parameter along with different models of thermoelasticity namely the MG-L and Green-Lindsay (G-L) model. Also, the graphically presented results shows the potential applications in geophysics, seismology and earthquake engineering providing valuable insights into wave interaction dynamics within micro-structured materials. Some special cases are also deduced from the present investigation.