Fully coupled thermo-mechanical cohesive zone model with thermal softening: Application to nanocomposites

Variational multiscale method for fully coupled thermomechanical interface contact and debonding problems

“…To account for the heat transfer at the contact interface C C , the heat flux q cont is expressed as q cont ¼ h cont sht, where h cont ¼ 1 Rcont is the thermal contact conductance at the contact interface, and R cont is the thermal resistance (Khoei and Bahmani, 2018). The thermal contact conductance h cont can be affected by different parameters, including contact pressure, material properties (Khoei and Bahmani, 2018), connective bond, and gas filling the gap (Shu and Stanciulescu, 2020). Section 4 provides two different interface constitutive models where a detailed description of h cont can be found.…”

“…Fully coupled thermomechanical problems with interfaces have attracted considerable interest for various engineering applications. For instance, the heat transfer across the interface of two contacting bodies plays an important role in metal forming processes (Khoei et al, 2006), structure crashworthiness (Rieger and Wriggers, 2004), powder compaction (Truster and Masud, 2016), frictional contact problems between bone and tissue in biomechanics (Shi et al, 2019), and interfacial debonding failure of carbon nanotube composites (Shu and Stanciulescu, 2020). Studies show that the interphase between the constituents, where the transition of the material properties is rapid, is often the site of crack initiation (Truster and Masud, 2013) and dominates the failure mechanism owing to the rapid change in temperature.…”

“…Therefore, it is essential to have a computational method that possesses the computational robustness, efficiency, and physical accuracy (Armero and Simo, Different strategies have been developed to model the interaction between thermal and mechanical fields and solve coupled thermomechanical contact/sliding and contact/debonding problems. The extended finite element method (XFEM) (Dolbow and Mo, 2001;Khoei et al, 2006;Rivas et al, 2019;Tian et al, 2019) combined with the cohesive zone method (Shu and Stanciulescu, 2020;Sukumar et al, 2000) is commonly used to model crack discontinuity and propagation in solid mechanics. Although the XFEM method does not require conforming the mesh to the discontinuities (Hansbo and Larson, 2002) because the discontinuity is represented independently with the mesh (Rivas et al, 2019), it is suitable for problems with inner cracks in a uniform domain with no interface (Belytschko and Black, 1999;Khoei et al, 2006).…”

A damage criterion based on energy balance for isotropic cohesive zone model

“…Others, probably more numerous, proposed forms of differential (kinetic) equations. Although it is impossible to mention all the works related to how damage kinetics were constructed, some references spanning the last twenty years include (Ortiz and Pandolfi 1999;Roe and Siegmund 2003;Evangelista et al 2013;Serpieri et al 2015;Kuna and Roth 2015), and more recently (Shu and Stanciulescu 2020). Here again, when the evolution law is not derived from a dissipation potential, it is necessary to check that the irreversible evolution of the system is in accordance with the second principle of thermodynamics, often formulated via the Clausius-Duhem inequality.…”

Formation of Fe-Ni Nanoparticle Strands in Macroscopic Polymer Composites: Experiment and Simulation

“…The finite element method (FEM) is a widely used numerical technique for solving engineering and physics problems involving behaviors that can be described by differential equations. These differential equations can also describe a variety of physical phenomena of nanosystems, ranging from electrical [ 53 , 54 , 55 ] and mechanical systems [ 56 , 57 , 58 , 59 ] to thermo [ 60 , 61 , 62 ] and rheological [ 63 , 64 , 65 ] problems. Various simulation studies for strand formation exist, e.g., Monte Carlo [ 66 , 67 ], Brownian dynamic [ 68 ], or molecular dynamic simulation [ 69 ].…”