This article is a summary of six lectures given by the author at webinar, “Advanced Theories for Deformation, Damage and Failure in Materials” organized International Centre Mechanical Sciences, Udine, Italy, May 3–7, 2021. The topics dealt with mechanisms damage failure, continuum synergistic mechanics, failure theories anisotropic homogenized solids, physical modeling composites containing ma...

The fatigue behavior of a cellular composite with an epoxy matrix and glass foam granules is analyzed and modeled by means of continuum damage mechanics. The investigated cellular composite is a particular type of composite foam, and is very similar to syntactic foams. In contrast to conventional syntactic foams constituted by hollow spherical particles (balloons), cellular glass, mineral, or m...

1. Basic Results in Continuum Mechanics 1.1. Kinematics 1.2. Stress Tensors and Balance of Momenta 1.3. Energy Balance Principle and Entropy Inequality 1.4. Fundamental Principles of Constitutive Models 2. Elastic and Hyperelastic Materials 2.1. Isotropic Hyperelastic Materials 2.2. Constitutive Models for Fiber-Reinforced Hyperelastic Materials 2.3. Examples of Numerical Applications 3. Elasto...

Currently, FRP composite tubes are drawing increasing attention in many industrial applications, due to their excellent mechanical and lightweight properties, with reduced energy consumption enhanced sustainability. This study investigates the failure mechanisms crashworthiness performance of glass carbon fibre reinforced polymer (GFRP CFRP) under low velocity transverse impact. Finite element ...

In this paper, a combination method has been developed by coupling Multi-Objective Genetic Algorithms (MOGA) and Finite Element Method (FEM). This method has been applied for determination of the optimal stacking sequence of laminated composite plate against buckling. The most important parameters in optimization of a laminated composite plate such as, angle, thickness, number, and material of ...

This chapter summarizes the results of a feasibility study exploring the development of a stochastic Dynamic Data-Driven Application System (DDDAS) for prediction and monitoring of material damage in composite materials common to many types of contemporary high-performance military aircraft. The methodology involves (1) acquiring data from mechanical experiments conducted on a composite materia...

Similar to the very vast prior literature on analyzing laminated composite structures, “higher-order” and “layer-wise higher-order” plate and shell theories for functionally-graded (FG) materials and structures are also widely popularized in the literature of the past two decades. However, such higher-order theories involve (1) postulating very complex assumptions for plate/shell kinematics in ...

Finite Element Method(FEM), which is based upon continuum mechanics and the physics of materials, is one of the most widely used deformation method in digital biomedical area. Unlike other light-weighted deformation models (Mass-Spring, Free Form, Chainmail, BEM, etc)using in other areas, FEM gets the most accurate deforming results in the cost of large scale of computation. In this paper, we p...

Damage parameters for crack initiation in Single Lap Joint (SLJ) are determined by combining continuum damage mechanics, Finite Element Analysis (FEA) and fatigue experimental data. Even tough SLJ has a simple configuration; the stresses in the adhesive region are quite complex and exhibit a multi-axial state. Such a condition leads to the need to introduce a general value of triaxiality functi...

This paper presents the thermal vibration analysis of double-layer graphene sheet embedded in polymer elastic medium, using the plate theory and nonlocal continuum mechanics for small scale effects. The graphene is modeled based on continuum plate theory and the axial stress caused by the thermal effects is also considered. Nonlocal governing equations of motion for this double-layer graphene s...