A computational strategy for the modeling of elasto-plastic materials under impact loadings

Zhou, Yang-Jing; Feng, Zhi-Qiang; Rojas-Quintero, Juan Antonio; Ning, Po

doi:10.1016/j.finel.2018.01.003

Cited by 8 publications

(5 citation statements)

References 14 publications

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“…Yu et al (2010) proposed a modified plastic damage model in ABAQUS to design confined concrete under nonuniform confinement. Zhou et al (2018) suggested a numerical technique for modeling elastoplastic materials under impact loadings. The developed software finite element method (FEM) showed better performance than ANSYS on the very precise contact state and contact forces between impacting bodies.…”

Section: Literature Reviewmentioning

confidence: 99%

Performance Evaluation of UHPFRC Plates subjected to Low-velocity Impact Loading

Mishra¹,

Sharma²

2023

Preprint

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In the present study, an attempt has been made to study the behavior of ultra-high performance fiber reinforced concrete (UHPFRC) plate specimens under impact loading analytically using the ANSYS V20.R2 explicit dynamics software. In this regard, UHPFRC plate specimens with sizes 500 × 500 × 50 mm were modeled and analyzed using a 5.25 kg impactor with a 500 mm drop height. The typical results of analytical investigations have been analyzed and discussed to study the behavior of UHPFRC plate specimens in light of the stress-strain behavior, deformation-time behavior, acceleration-time behavior, energy absorption capacity, failure characteristics, etc. The analytical results are compared with the experimental results for 4-side and 2-side simply supported (SS). It has been observed that experimental and analytical values are in good agreement regarding stress, strain, deformation, acceleration, energy absorption capacity, and failure characteristics. However, the variation in analytical and experimental values was because several pieces of equipment and accessories were used in the experimental investigation. Additionally, it has also been noticed that adding fibers reduces UHPFRC plates' deflection and acceleration while increasing the energy absorption capacity and stress and strain values for fiber content corresponding to 8%. However, increasing the deformation capacity of the plates by adding large quantities of fibers in the case of low-velocity impact is not very beneficial. The addition of MSF in UHPFC enhances the stiffness as well as strength of the composites. As the number of supported sides increased, the deflection and acceleration values decreased significantly.

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Section: Literature Reviewmentioning

confidence: 99%

Performance Evaluation of UHPFRC Plates subjected to Low-velocity Impact Loading

Mishra¹,

Sharma²

2023

Preprint

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“…They are regarded as optimality conditions, and it has been shown that these equations define the adjoint states in the framework of PMP [26]. The left hand side of these equations involve: the second covariant time derivative of the covariant torque tensor components u i in the first term (see equation ( 2)); the Riemann-Christoffel curvature tensor in the second term; the second covariant derivative of potential V in the third term; and contravariant torque tensor components u l in the third term (see equation (5)). Definitions for these objects can be found in [25], [29] and have the following expressions:…”

Section: B Optimal Controlmentioning

confidence: 99%

“…The finite element method (FEM) has become a favored technique for solving engineering problems relating to the estimation of stress, strain or wear in elastic materials (see references [1]- [5] for some examples). Its origins can be linked to the works of Richard Courant back in 1943 [6].…”

Section: Introductionmentioning

confidence: 99%

Optimal Control of Robotic Systems Using Finite Elements for Time Integration of Covariant Control Equations

2021

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We used an optimal control method involving covariant control equations as optimality conditions, to command the actuators of robot manipulators. These form a coupled system of second order nonlinear ordinary differential equations when associated with the robot motion equations. By solving this system, the control action required to take the robot from an initial to a final state is optimized in a prescribed time. However, the target set of equations exhibited stiffness. Therefore, an adequate solution could only be found for short trajectory durations with readily available numerical methods. We examined a time discretization procedure based on cubic and quintic Hermite finite elements which exhibited superconvergence properties for interpolation. This motivated us to develop a time integration algorithm based on Hermite's technique, where motion and control equations were perturbed to solve the optimal control problem. The optimal motion of a robotic manipulator was simulated using this algorithm. Our method was compared with a commercial differential equations solver on the basis of specific indicators. It outperformed the commercial solver by effectively solving the stiff set of equations for longer trajectory durations, with the cubic elements performing better than the quintic ones in this sense. The convergence analysis of our method confirmed that the quintic elements are more precise at the cost of increased computational burden, but converge at a lower rate than expected. Controlled motion experiments on a robotic manipulator validated our methodology. Trajectories were smoothly tracked and results exposed further methodology improvements.

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“…Compared to the traditional approach, the bi-potential method couples the two variational inequalities of the unilateral contact and friction law into one single displacement based variational principle with one unique inequality. Introduced in the 1990s, the approach has been recently extended to problems involving hyperelatic or elastic-to-plastic contact [33][34][35] with interface wear [36,37]. In the area of adhesive contact modelling, the bi-potential theory has been recently applied to solve 2D interface adhesion between elastic materials [38].…”

Section: Introductionmentioning

confidence: 99%

A bi-potential contact formulation for recoverable adhesion between soft bodies based on the RCC interface model

Joli

et al. 2022

Computer Methods in Applied Mechanics and Engineering

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An extended, ready-to-implement 3D model for quasi-industrial problems of contact with friction and recoverable interface adhesion between soft material is formulated using the Raous-Cangémi-Cocou (RCC) interface model and a bi-potential based resolution method. According to the RCC description, the recoverable adhesive interface behaviour derives from a free surface energy and a surface dissipation pseudo-potential. The obtained interface law describes both the de-bonding process of adhesive links due to tangential and normal interface deformation, and reversely, the bonding process that takes place when two surfaces approach close enough. We then propose an associated formulation coupling 3D extended interface law and Blatz-Ko hyperelastic material, that enables modelling large deformations of foam type soft matters under conditions of contact and friction with recoverable adhesion. In the end, the subsequent local contact nonlinear equations are solved using a Newton-like algorithm within the bi-potential framework. Numerical examples are performed to demonstrate the capacity of the proposed approach.

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A computational strategy for the modeling of elasto-plastic materials under impact loadings

Cited by 8 publications

References 14 publications

Performance Evaluation of UHPFRC Plates subjected to Low-velocity Impact Loading

Performance Evaluation of UHPFRC Plates subjected to Low-velocity Impact Loading

Optimal Control of Robotic Systems Using Finite Elements for Time Integration of Covariant Control Equations

A bi-potential contact formulation for recoverable adhesion between soft bodies based on the RCC interface model

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