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Meshless physics-informed deep learning method for three-dimensional solid mechanics [article]

Diab W. Abueidda, Qiyue Lu, Seid Koric
2021 arXiv   pre-print
We have considered different types of materials: linear elasticity, hyperelasticity (neo-Hookean) with large deformation, and von Mises plasticity with isotropic and kinematic hardening.  ...  Deep learning and the collocation method are merged and used to solve partial differential equations describing structures' deformation.  ...  Acknowledgment The authors would like to thank the National Center for Supercomputing Applications (NCSA) Industry Program and the Center for Artificial Intelligence Innovation.  ... 
arXiv:2012.01547v2 fatcat:hcpfovszhfchjedvo3cg6vmjaa

Topology optimization of 2D structures with nonlinearities using deep learning [article]

Diab W. Abueidda, Seid Koric, Nahil A. Sobh
2020 arXiv   pre-print
We have considered the case of materials with a linear elastic response with and without stress constraint.  ...  The field of optimal design of linear elastic structures has seen many exciting successes that resulted in new architected materials and structural designs.  ...  Acknowledgments The authors would like to thank the National Center for Supercomputing Applications (NCSA) Industry Program for software and hardware support.  ... 
arXiv:2002.01896v4 fatcat:66egnxngrraf5grakwwcxivyde

A mixed formulation for physics-informed neural networks as a potential solver for engineering problems in heterogeneous domains: comparison with finite element method [article]

Shahed Rezaei, Ali Harandi, Ahmad Moeineddin, Bai-Xiang Xu, Stefanie Reese
2022 arXiv   pre-print
We focus on heterogeneous solids to show the capability of deep learning for predicting the solution in a complex environment under different boundary conditions.  ...  The mixed formulation-based PINNs and FE methods share some similarities.  ...  [30] applied PINNs to solid mechanics. The authors investigated linear elastic problems and extended the formulation for elasto-plastic behavior. See also [31] . Zhang et al.  ... 
arXiv:2206.13103v1 fatcat:4pmkseqxyvfopowtcnlac2rnqe

Calibrating constitutive models with full-field data via physics informed neural networks [article]

Craig M. Hamel and Kevin N. Long and Sharlotte L.B. Kramer
2022 arXiv   pre-print
A selection of canonical hyperelastic materials models suitable for different material classes is considered including the Neo-Hookean, Gent, and Blatz-Ko constitutive models as exemplars for general hyperelastic  ...  In this paper, we propose a physics-informed deep-learning framework for the discovery of constitutive model parameterizations given full-field displacement data and global force-displacement data.  ...  for the U.S.  ... 
arXiv:2203.16577v1 fatcat:sztesclaunfdfihp3cd2yjayca

Deep energy method in topology optimization applications [article]

Junyan He and Shashank Kushwaha and Charul Chadha and Seid Koric and Diab Abueidda and Iwona Jasiuk
2022 arXiv   pre-print
This framework solves the forward elasticity problem by the deep energy method (DEM).  ...  The method of moving asymptotes is used as the optimizer for updating density distribution.  ...  Acknowledgements The authors would like to thank the National Center for Supercomputing Applications (NCSA) for providing the computational resources on the Delta cluster.  ... 
arXiv:2207.03072v1 fatcat:6si3s4srivcwde5bed54wuppua

Physics informed neural networks for continuum micromechanics [article]

Alexander Henkes, Henning Wessels, Rolf Mahnken
2021 arXiv   pre-print
In this work we consider material non-linearities invoked by material inhomogeneities with sharp phase interfaces. This constitutes a challenging problem for a method relying on a global ansatz.  ...  Due to the global approximation, physics informed neural networks have difficulties in displaying localized effects and strong non-linear solutions by optimization.  ...  Acknowledgement We thank Ameya Jagtap for the fruitful discussion and insights into cPINNs and the Kunststofftechnik Paderborn (KTP) for providing the WPC µCT-scans.  ... 
arXiv:2110.07374v1 fatcat:mbqrelv3jzc67luqxacvcsy54u

Scientific Program

2014 Procedia IUTAM  
of porous materials for application to elasto-plastic indentation analysis SM08-051 Roland Traxl * , Roman Lackner, Austria Periodic structural solids and composites: mechanics and multifunctional  ...  Olascoaga * , George Haller, USA A new mechanism for deep mixing: internal waves emitted by the eddying circulation in the deep ocean FM16-002 Jin-Song von Storch * , Germany Effect of monthly climatic  ...  Thickness-shear vibrations of rectangular plates with free edges by the extended kantorovich method FS07-019 Ji  ... 
doi:10.1016/j.piutam.2014.01.011 fatcat:osy4egnuufdophopfpj75e24jm

Virtual, Digital and Hybrid Twins: A New Paradigm in Data-Based Engineering and Engineered Data

Francisco Chinesta, Elias Cueto, Emmanuelle Abisset-Chavanne, Jean Louis Duval, Fouad El Khaldi
2018 Archives of Computational Methods in Engineering  
Moreover, as discussed in the present paper, not only data serve to enrich physically-based models.  ...  However, data can offer much more than a simple state-of-the-art model calibration, and not only from its simple statistical analysis, but from the modeling and simulation viewpoints.  ...  Acknowledgements This project has received funding from the Spanish Ministry of Economy and Competitiveness through Grants number DPI2017-85139-C2-1-R and DPI2015-72365-EXP and by the Regional Government  ... 
doi:10.1007/s11831-018-9301-4 fatcat:lgxemrybevc4xiddqfdobysz2m

Soft Tissue Modeling for Surgery Simulation [chapter]

Hervé Delingette, Nicholas Ayache
2004 Handbook of Numerical Analysis  
Stéphane Cotin developped the precomputed linear elastic model of section 5 as well as a rst version of the Tensor-Mass model described in section 6.1.  ...  We also wish to thank Clément Forest and Jean-Christophe Lombardo for their numerous contributions on force-feedback rendering, collision detection as well as mesh data structure.  ...  Furthermore, we recall the main equations of isotropic and transversally anisotropic linear elasticity in continuum mechanics.  ... 
doi:10.1016/s1570-8659(03)12005-4 fatcat:ezfsuftbvzfcvgyshazjowhr3u

Conceptual design and multidisciplinary optimization of in-plane morphing wing structures

Daisaku Inoyama, Brian P. Sanders, James J. Joo, Douglas K. Lindner
2006 Smart Structures and Materials 2006: Modeling, Signal Processing, and Control  
Snap-through buckling is a step further in the direction of using non-linear mechanics for actuator design.  ...  The issue of non-linear structures that amplify the actuation provided from piezoelectric elements has been shown for aeronautical applications in [1]; in this work, the potential of non-linear mechanics  ...  time-frequency analysis method for the analysis of dispersive elastic waves Although conventional methods such as the short-time Fourier transform (STFT) and the continuous wavelet transform (CWT) have  ... 
doi:10.1117/12.658686 fatcat:rqnvt2atkjgnvpog5pivwjejzm

APM 2016. Book of Abstracts [article]

"Advanced Problems In Mechanics" (APM 2016), International Conference (44; 2016; St. Petersburg), Russian Academy Of Sciences. Institute For Problems In Mechanical Engineering, University, Peter The Great St. Petersburg Polytechnic
The authors kindly acknowledge funding from the project TAMER, Trans-Atlantic Micromechanics Evolving Research "Materials containing inhomogeneities of diverse physical properties, shapes and orientations  ...  FINITE ELEMENT TECHNIQUES FOR NON-LINEAR SOLIDS AND STRUCTURES" (Chair: U.  ...  deformation-destruction" for ductile solids and "elastic deformation-destruction" for brittle solids.  ... 
doi:10.18720/spbpu/2/k16-40 fatcat:yegzycnwbrco7dwsdnsjxvwbc4

APM 2017. Book of abstracts [article]

"Advanced Problems In Mechanics (APM 2017)", International Conference (45; 2017; St. Petersburg, Russia), Russian Academy Of Sciences. Institute For Problems In Mechanical Engineering, University, Peter The Great St. Petersburg Polytechnic
As the effective method to detect this entity's characteristics is to track the frequency shifts in microbeam's modes of vibrations, we investigate the analytical expressions for the shifts and mass-position  ...  The Runga-Kutta method has been used for numerical calculation of the problem.  ...  Skripnyak for fruitful discussions and valuable suggestions. This work was supported partially by the Grant from the President of Russian Federation and Grant from the Foundation of D.I.  ... 
doi:10.18720/spbpu/2/k17-23 fatcat:us6nhplc3rbhrgowwocdqa2wrq

A joint element for the nonlinear dynamic analysis of arch dams

Jörg-Martin Hohberg
As a country with high concrete dams in an Alpine region of considerable seismicity, Switzerland has taken much interest in advanced computational methods for dam analysis.  ...  The spatial action of the structure between Valley flanks and the presence of joints and discontinuities suggested a change in the concept of crack modelling as opposed to gravity dams, which was discussed  ...  The persistant interest and equal patience of the  ... 
doi:10.3929/ethz-a-000689594 fatcat:kcrshs63qffmxc3tq7zd3jjmhi

Fiber-Optics Based Pressure and Temperature Sensors for Harsh Environments

Jason Twedt, Rakesh Kapania, Joseph Schetz, Bryan Dickerson
2008 49th AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics, and Materials Conference 16th AIAA/ASME/AHS Adaptive Structures Conference 10t   unpublished
Diaphragm based designs, seem to provide easy fabrication methods and good sensi-tivity, however, for this design to be realized at high temperature operation, a robust bonding method must be chosen to  ...  In general, fiber-optics provide many advantages over electrical based sensors and are the ideal choice for high temperature regimes and distributed sensing.  ...  The element includes capabilities such as plasticity, hyperelasticity, creep, stress stiffening, large deflection, and large strain [28] .  ... 
doi:10.2514/6.2008-1834 fatcat:vwuxrt3fmjapbdnav62jcbdexm

Numerical simulation of the flow in model skeletal muscle ventricles

F. Iudicello, F.S. Henry, M.W. Collins, A. Shortland, J.C. Jarvis, R.A. Black, S. Salmons
Proceedings of Computers in Cardiology Conference  
In order to have realistic ventricular models, solid mechanics equations have to allow for large deformation, and non-linear elastic and visco-elastic material with orthotropic properties.  ...  The basic equations for the solution of the solid mechanics under the assumptions of interest -large deformation and strains, non-linear elastic behaviour and anisotropy of material -will be discussed  ...  Calculations for the flow in a semi-infinite pipe which is either expanding or contracting are first compared with the analytical solution due to Uchida and Aoki [4] .  ... 
doi:10.1109/cic.1993.378425 fatcat:evkssjzbtzgijlzytstp2iiorq
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