The Hot Optimal Transportation Meshfree (HOTM) method for materials under extreme dynamic thermomechanical conditions

Wang, Hao; Liao, Huming; Fan, Zongyue; Jiang, Fan; Stainier, Laurent; Li, Xiaobai; Li, Bo

doi:10.1016/j.cma.2020.112958

Cited by 17 publications

(10 citation statements)

References 61 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…For the sake of completeness, the construction of the HOTM method for materials in extreme thermomechanical coupling conditions proposed by Wang et al 43 is briefly introduced in this section. The HOTM method is an incremental Lagrangian method.…”

Section: Methodsmentioning

confidence: 99%

“…However, instead of changing the constitutive relation itself, in this model, critical is the determination of the C 0 continuous temperature functions of the material constants, such as K ( T ),

μ (T)

ν (T)

, and a ( T ), in different phases to guarantee the smooth transition of the stress during phase change. Consequently, as the temperature rises beyond the melting temperature, the material model automatically converts to the standard Newtonian viscous flow since the shear modulus

μ (T)

and plastic deformation vanishes, 43 and

\begin{align} bold-italicσ = p false(J, T false) bold-italicI + 2 ν false(T false) {bold-italicd}^{dev} . \end{align}

…”

Section: Methodsmentioning

confidence: 99%

“…Current powder‐scale simulations of PBF AM processes based on the Eulerian methods suffer from some inherent drawbacks to model free surface and material interfaces, history‐dependent material responses, multibody dynamic contact and fracture. Recently, Wang et al 43 proposed the hot optimal transportation meshfree (HOTM) method for the high‐fidelity prediction of materials dynamic behavior under extreme thermomechanical coupling conditions. The HOTM method is formulated in the incremental updated Lagrangian framework and combines the optimal transportation meshfree (OTM) method 44 with the variational thermomechanical constitutive updates 45,46 .…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

A Lagrangian meshfree mesoscale simulation of powder bed fusion additive manufacturing of metals

Fan

Wang

Huang

et al. 2020

Numerical Meth Engineering

Self Cite

View full text Add to dashboard Cite

We present a powder-scale computational framework to predict the microstructure evolution of metals in powder bed fusion additive manufacturing (PBF AM) processes based on the hot optimal transportation meshfree (HOTM) method. The powder bed is modeled as discrete and deformable three-dimensional bodies by integrating statistic information from experiments, including particle size and shape, and powder packing density. Tractions in Lagrangian framework are developed to model the recoil pressure and surface tension. The laser beam is applied to surfaces of particles and substrate dynamically as a heat flux with user-specified beam size, power, scanning speed, and path. The linear momentum and energy conservation equations are formulated in the Lagrangian configuration and solved simultaneously in a monolithic way by the HOTM method to predict the deformation, temperature, contact mechanisms, and fluid-structure interactions in the powder bed. The numerical results are validated against single track experiments. Various powder bed configurations, laser powers, and speed are investigated to understand the influence of dynamic contact and inelastic material behavior on the deformation, heat transfer, and phase transition of the powder bed. The formation of defects in the microstructure of 3D printed metals, including pores, partially, and unmelted particles, is predicted by the proposed computational scheme.

show abstract

Section: Methodsmentioning

confidence: 99%

μ (T)

ν (T)

μ (T)

and plastic deformation vanishes, 43 and

\begin{align} bold-italicσ = p false(J, T false) bold-italicI + 2 ν false(T false) {bold-italicd}^{dev} . \end{align}

…”

Section: Methodsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

A Lagrangian meshfree mesoscale simulation of powder bed fusion additive manufacturing of metals

Fan

Wang

Huang

et al. 2020

Numerical Meth Engineering

Self Cite

View full text Add to dashboard Cite

show abstract

“…Simulations have included ductile fracture [49] and friction drilling [43,54]. Based on variational thermomechanical constitutive updates and the optimal transportation meshfree (OTM) method [34], the hot OTM method (HOTM) [53] has been developed for modeling external heating and cooling behavior. The HOTM method has mostly been applied to laser cladding technology [23].…”

Section: Introductionmentioning

confidence: 99%

Nodally integrated thermomechanical RKPM: Part II—generalized thermoelasticity and hyperbolic finite-strain thermoplasticity

Hillman

Lin

2021

Comput Mech

View full text Add to dashboard Cite

In this two-part paper, a stable and efficient nodally-integrated reproducing kernel particle method (RKPM) approach for solving the governing equations of generalized thermomechanical theories is developed. Part I investigated quadrature in the weak form using classical thermoelasticity as a model problem, and a stabilized and corrected nodal integration was proposed. In this sequel, these methods are developed for generalized thermoelasticity and generalized finite-strain plasticity theories of the hyperbolic type, which are more amenable to explicit time integration than the classical theories. Generalized thermomechanical models yield finite propagation of temperature, with a so-called second sound speed. Since this speed is not well characterized for common engineering materials and environments, equating the elastic wave speed with the second sound speed is investigated to obtain results close to classical thermoelasticity, which also yields a uniform critical time step. Implementation of the proposed nodally integrated RKPM for explicit analysis of finite-strain thermoplasticity is also described in detail. Several benchmark problems are solved to demonstrate the effectiveness of the proposed approach for thermomechanical analysis.

show abstract

“…More recently, Navas and coworkers have further explored the use of the OTM for coupled formulations [114,116,117,120]. The latest upgrade of this technique is the Hot Optimal Transportation Meshfree (HOTM) method proposed by Wang et al [156]. It combines the OTM and the variational thermomechanical constitutive updates in order to handle the dynamic response of materials under extreme thermomechanical conditions, possibly involving extremely large deformation, phase transition and multiphase mixing.…”

Section: Optimal Transportation Meshfree (Otm)mentioning

confidence: 99%

The Local Maximum-Entropy Material Point Method

Pérez¹

View full text Add to dashboard Cite

En este trabajo se propone el uso de una metodología B-free (o sin componentes) para la resolución de problemas de elastodinámica no lineal en grandes deformaciones mediante el LME-MPM. Esta metodología permite eliminar la brecha existente entre la formulación continua del problema y su versión discretizada. Asimismo, en este trabajo se introduce el uso de una formulación incremental del algoritmo Newmark-β para el LME-MPM. En aras de la exhaustividad, al final de este documento se analiza la evaluación del marco propuesto en el régimen de grandes deformaciones.

show abstract

The Hot Optimal Transportation Meshfree (HOTM) method for materials under extreme dynamic thermomechanical conditions

Cited by 17 publications

References 61 publications

A Lagrangian meshfree mesoscale simulation of powder bed fusion additive manufacturing of metals

A Lagrangian meshfree mesoscale simulation of powder bed fusion additive manufacturing of metals

Nodally integrated thermomechanical RKPM: Part II—generalized thermoelasticity and hyperbolic finite-strain thermoplasticity

The Local Maximum-Entropy Material Point Method

Contact Info

Product

Resources

About