Optimization-based Mechanics Formulations

Optimization-Based Mechanics Formulations is a class of variational frameworks in solid and structural mechanics in which the governing equations of motion or equilibrium are derived as the solution to a constrained optimization problem involving energy functionals, thereby distinguishing it from classical formulations by embedding physical principles within an optimization-based structure.

Publications

2.7K

Citations

168

Authors

103

Institutions

Publications per year

2017–2026

Parents

Energy Methods In Mechanics

Publications

Convex Potentials with an Application to Mechanism Design

Vijay Krishna, Eliot Maenner · Econometrica · 2001 · 146 citations · Full text

Natural Sciences, Mathematics, Mechanical Engineering +12

Multi-objective optimization-inspired set theory-based regularization approach for force reconstruction with bounded uncertainties

Chen Yang, Qianqian Yu · Computer Methods in Applied Mechanics and Engineering · 2025 · 140 citations

Natural Sciences, Mathematics, Mechanical Engineering +16

Design of Distributed Compliant Mechanisms

Luzhong Yin, G. K. Ananthasuresh · Mechanics Based Design of Structures and Machines · 2003 · 138 citations

Engineering, Design, Mechanical Engineering +15

Global optimization by coupled local minimizers and its application to FE model updating

Anne Teughels, Guido De Roeck, Johan A. K. Suykens · Computers & Structures · 2003 · 100 citations

Engineering, Computational Engineering, Mathematics +14

Nonconvex optimization in mechanics: Algorithms, heuristics and engineering applications by the F.E.M.

Computers & Mathematics with Applications · 1998 · 85 citations

Engineering, Mechanical Engineering, Applied Mechanics +13

1–5 of 74

Authors

168

AM
A. M. Khludnev
Lavrentyev Institute of Hydrodynamics, Russia
2 publications · 45 citations
2
h-index
OS
O. S. Zakharova
Kazan Federal University, Russia
2 publications · 48 citations
2
h-index
FB
Franz‐Joseph Barthold
TU Dortmund University, Germany
2 publications · 59 citations
2
h-index
AK
Anders Klarbring
Linköping University, Sweden
2 publications · 58 citations
2
h-index
PP
Pedro Ponte Castañeda
University of Pennsylvania, United States
2 publications · 67 citations
2
h-index

1–5 of 168

Institutions

103

1–8 of 103

Venues

Computer Methods in Applied Mechanics and Engineering
9 publications · 488 citations
9
h-index
Structural and Multidisciplinary Optimization
8 publications · 239 citations
8
h-index
Proceedings of the Royal Society A Mathematical Physical and Engineering Sciences
3 publications · 98 citations
3
h-index
Journal of Optimization Theory and Applications
3 publications · 42 citations
3
h-index
Computers & Mathematics with Applications
2 publications · 109 citations
2
h-index

1–5