Peridynamics for Fully Coupled Thermomechanical Analysis of Fiber Reinforced Laminates

Abstract

The utilization of composite materials in aerospace industry is consistently increasing. One area which requires attention is the modeling of mechanical and/or thermal shock loading on composite structures. Such a phenomenon can be expressed within a fully coupled framework where both the mechanical and thermal fields may have an effect on each other. Furthermore, if damage initiation and propagation predictive capability is also required, the complexity of the analysis increases significantly. Performing such an analysis by using traditional techniques is challenging if not impossible. However, a new continuum mechanics formulation, peridynamics, can overcome such difficulties due to its natural suitability for failure modeling in an intrinsic manner. The peridynamics is a nonlocal continuum theory which allows governing field equations to be applicable at discontinuities. This applicability at discontinuities is achieved by replacing the spatial derivatives, which lose meaning at discontinuities, with integrals that are valid regardless of the existence of a discontinuity. Furthermore, its multi-physics capability makes it a unique approach for fully coupled analysis of different fields.This study presents a fully coupled peridynamic thermomechanical analysis of fiber-reinforced composites.

Peridynamic Analysis of Marine Composites under Shock Loads by Considering Thermomechanical Coupling Effects

“…PD thermal model was developed in [32] and extended into composite lamina by Oterkus and Madenci [33] as…”

“…where k 1 and k 2 represent the thermal conductivities for fibre and transverse directions in a ply. PD thermal modulus β depends on the PD material bond constant [32,33,35]. β f and β m are associated with in-plane fibre bonds and in-plane matrix bonds which can be expressed as…”

“…Then, they generalized the model to include the coupling effects on both deformation and temperature [32]. Furthermore, the model is developed for composite lamina by considering its directional dependency properties [33]. Based on previous work, the fully coupled thermomechanical laminate model formulated by PD is developed in this paper, including heat conduction and coupling effects in the thickness direction of the composite laminate.…”

Ordinary state-based peridynamic modelling for fully coupled thermoelastic problems

“…In regard to the thermomechanics, fully coupled bond-based PD theory was formulated by Oterkus et al [43], Oterkus [44], Madenci and Oterkus [45]. Further, they successfully applied their model to predict crack propagation [46,47]. However, the bond-based PD model is limited to have a fixed Poisson's ratio, i.e.…”

Implementation of peridynamic beam and plate formulations in finite element framework

“…Since its introduction in 2000, PD theory has been applied to many different material systems [12,18,27] and extended to other fields for heat transfer analysis, diffusion, etc. [10,16,28,29]. Queiruga and Moridis [32] performed numerical experiments on the convergence properties of state-based peridynamic laws and influence functions in two-dimensional problems.…”