Computational Methods for Elastoplasticity: An Overview of Conventional and Less-Conventional Approaches

G Scalet, F Auricchio - Archives of Computational Methods in Engineering, 2018 - Springer
The need of accurately reproducing the behaviour of elastoplastic materials in
computational environments for the solution of engineering problems motivates the …

Unified smoothing functions for absolute value equation associated with second-order cone

CT Nguyen, B Saheya, YL Chang, JS Chen - Applied Numerical …, 2019 - Elsevier
In this paper, we explore a unified way to construct smoothing functions for solving the
absolute value equation associated with second-order cone (SOCAVE). Numerical …

A nonmonotone smoothing Newton algorithm for weighted complementarity problem

J Tang, H Zhang - Journal of Optimization Theory and Applications, 2021 - Springer
The weighted complementarity problem (denoted by WCP) significantly extends the general
complementarity problem and can be used for modeling a larger class of problems from …

[HTML][HTML] Phase field fracture in elastoplastic solids: a stress-state, strain-rate, and orientation dependent model in explicit dynamics and its applications to additively …

C Li, J Liu, L Dong, C Wu, G Steven, Q Li… - Journal of the Mechanics …, 2025 - Elsevier
Phase field models have gained increasing popularity in analysing fracture behaviour of
materials. However, few studies have been explored to simulate dynamic ductile fracture to …

A smoothing Newton method for absolute value equation associated with second-order cone

XH Miao, JT Yang, B Saheya, JS Chen - Applied Numerical Mathematics, 2017 - Elsevier
In this paper, we consider the smoothing Newton method for solving a type of absolute value
equations associated with second order cone (SOCAVE for short), which is a generalization …

An accelerated smoothing Newton method with cubic convergence for weighted complementarity problems

J Tang, J Zhou, H Zhang - Journal of Optimization Theory and Applications, 2023 - Springer
Smoothing Newton methods, which usually inherit local quadratic convergence rate, have
been successfully applied to solve various mathematical programming problems. In this …

[PDF][PDF] Levenberg-Marquardt method for absolute value equation associated with second-order cone

XH Miao, K Yao, CY Yang, JS Chen - Numer. Algebra Control …, 2022 - math.ntnu.edu.tw
In this paper, we suggest the Levenberg-Marquardt method with Armijo line search for
solving absolute value equations associated with the second-order cone (SOCAVE for …

[BOOK][B] SOC functions

JS Chen, JS Chen - 2019 - Springer
During the past two decades, there have been active research for second-order cone
programs (SOCPs) and second-order cone complementarity problems (SOCCPs). Various …

An inexact semismooth Newton SAA-based algorithm for stochastic nonsmooth SOC complementarity problems with application to a stochastic power flow …

PB Chen, GH Lin, ZP Yang - Journal of Computational and Applied …, 2025 - Elsevier
In this paper, we study a stochastic nonsmooth second-order cone complementarity problem
(SNS-SOCCP), in which the mathematical expectations are involved and the function is …

Discovery of new complementarity functions for NCP and SOCCP

PF Ma, JS Chen, CH Huang, CH Ko - Computational and Applied …, 2018 - Springer
It is well known that complementarity functions play an important role in dealing with
complementarity problems. In this paper, we propose a few new classes of complementarity …