Results 241 to 250 of about 44,657,267 (321)
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DCEM: A deep complementary energy method for linear elasticity
International Journal for Numerical Methods in Engineering, 2023In recent years, the rapid advancement of deep learning has significantly impacted various fields, particularly in solving partial differential equations (PDEs) in the realm of solid mechanics, benefiting greatly from the remarkable approximation ...
Yizheng Wang +3 more
semanticscholar +1 more source
A deep energy method for finite deformation hyperelasticity
, 2020We present a deep energy method for finite deformation hyperelasticitiy using deep neural networks (DNNs). The method avoids entirely a discretization such as FEM. Instead, the potential energy as a loss function of the system is directly minimized.
Vien Minh Nguyen-Thanh +2 more
semanticscholar +1 more source
2009
The basic equations of linear elasticity are derived in chapter 1 and are conveniently divided into three groups: the equilibrium equations, the strain-displacement relationships, and the constitutive laws, as illustrated in fig. 9.33. In chapter 9, two virtual work principles are derived.
Bauchau, Olivier, Craig, JI
openaire +3 more sources
The basic equations of linear elasticity are derived in chapter 1 and are conveniently divided into three groups: the equilibrium equations, the strain-displacement relationships, and the constitutive laws, as illustrated in fig. 9.33. In chapter 9, two virtual work principles are derived.
Bauchau, Olivier, Craig, JI
openaire +3 more sources
2022
There are two approaches to engineering mechanics: (i) Newtonian mechanics and (ii) energy methods. Both approaches lead to the same results; however, in some cases, energy methods can give a more direct solution. Earlier chapters focused on Newtonian mechanics. Newtonian mechanics requires the use of force and acceleration vectors.
K. Bhaskar, T. K. Varadan
+4 more sources
There are two approaches to engineering mechanics: (i) Newtonian mechanics and (ii) energy methods. Both approaches lead to the same results; however, in some cases, energy methods can give a more direct solution. Earlier chapters focused on Newtonian mechanics. Newtonian mechanics requires the use of force and acceleration vectors.
K. Bhaskar, T. K. Varadan
+4 more sources
Seismic fragility evaluation of a diagrid structure based on energy method
, 2020Diagrid structural systems have been brought into attention among architectures and engineers during recent years due to high structural efficiency and aesthetic potentials.
M. Moradi, Moein Abdolmohammadi
semanticscholar +1 more source
Energy Management in Integrated Energy System Using Energy–Carbon Integrated Pricing Method
IEEE Transactions on Sustainable Energy, 2023The interdependence of different energy forms and flexible energy interaction among multiagents in an integrated energy system (IES) are significant for reducing carbon emissions.
Junjie Hu, Nian Liu
exaly +2 more sources
Study on coupled modes panel flutter stability using an energy method
, 2020In this paper, an energy method is presented to study the coupled modes type panel flutter stability. The aeroelastic system continuous motion equation is built by adopting the first order piston theory aerodynamic loading.
Xiaochen Wang +6 more
semanticscholar +1 more source
Simplified evaluation of pipe strains crossing a normal fault through the dissipated energy method
Engineering structures, 2018A dissipated energy method is proposed in this paper to calculate the maximum and minimum pipe strains crossing a normal fault perpendicularly. Two plastic hinges are assumed to form on either side of the fault plane.
P. Ni, N Time
semanticscholar +1 more source