Asymptotic expansions for high-contrast linear elasticity
We study linear elasticity problems with high contrast in the coefficients using asymptotic limits recently introduced. We derive an asymptotic expansion to solve heterogeneous elasticity problems in terms of the contrast in the coefficients. We study the convergence of the expansion in the H1 norm.
| Main Authors: | Poveda, L., Huepo, S., Calo, Victor, Galvis, J. |
|---|---|
| Format: | Journal Article |
| Published: |
Elsevier
2016
|
| Online Access: | http://hdl.handle.net/20.500.11937/51555 |
Similar Items
Asymptotic expansions for high-contrast elliptic equations
by: Calo, Victor, et al.
Published: (2014)
by: Calo, Victor, et al.
Published: (2014)
A note on variational multiscale methods for high-contrast heterogeneous porous media flows with rough source terms
by: Calo, Victor, et al.
Published: (2011)
by: Calo, Victor, et al.
Published: (2011)
Application of asymptotic expansion homogenization for vascularized poroelastic brain tissue
by: Abbas, Shabudin, et al.
Published: (2018)
by: Abbas, Shabudin, et al.
Published: (2018)
Elastic and non-linear acoustic properties and thermal expansion of cerium metaphosphate glasses
by: Saunders, G.A., et al.
Published: (2001)
by: Saunders, G.A., et al.
Published: (2001)
Asymptotic Expansions of Solutions To The Helmholtz and Maxwell’s Equations Advancements in Ray Theory
by: Radjen, A. M. R.
Published: (2023)
by: Radjen, A. M. R.
Published: (2023)
Mode decomposition methods for flows in high-contrast porous media. A global approach
by: Ghommem, M., et al.
Published: (2014)
by: Ghommem, M., et al.
Published: (2014)
Asymptotic solutions of the Helmholtz equation: generalised Friedlander-Keller ray expansions of fractional order
by: Tew, R.H.
Published: (2020)
by: Tew, R.H.
Published: (2020)
Investigation of the capillary effects toward brain tissue poroelastic properties using asymptotic expansion homogenization
by: Abbas, Shabudin, et al.
Published: (2019)
by: Abbas, Shabudin, et al.
Published: (2019)
Mode decomposition methods for flows in high-contrast porous media. Global-local approach
by: Ghommem, M., et al.
Published: (2013)
by: Ghommem, M., et al.
Published: (2013)
ADAPTIVE VARYING-COEFFICIENT LINEAR MODELS FOR STOCHASTIC PROCESSES: ASYMPTOTIC THEORY
by: Lu, Zudi, et al.
Published: (2007)
by: Lu, Zudi, et al.
Published: (2007)
Exponential asymptotics: multi-level asymptotics of model problems
by: Say, Fatih
Published: (2016)
by: Say, Fatih
Published: (2016)
Measuring elastic contrast in tissue using OCT needle probes
by: Kennedy, K., et al.
Published: (2013)
by: Kennedy, K., et al.
Published: (2013)
Randomized oversampling for generalized multiscale finite element methods
by: Calo, Victor, et al.
Published: (2016)
by: Calo, Victor, et al.
Published: (2016)
Multiscale empirical interpolation for solving nonlinear PDEs
by: Calo, Victor, et al.
Published: (2014)
by: Calo, Victor, et al.
Published: (2014)
Asymptotically hyperbolic connections
by: Fine, Joel, et al.
Published: (2016)
by: Fine, Joel, et al.
Published: (2016)
Asymptotic stability of impulsive high-order Hopfield typeneural networks
by: Xu, B., et al.
Published: (2009)
by: Xu, B., et al.
Published: (2009)
Asymptotically safe Starobinsky inflation
by: Copeland, Edmund J., et al.
Published: (2015)
by: Copeland, Edmund J., et al.
Published: (2015)
Exponential asymptotics and homoclinic snaking
by: Dean, Andrew David
Published: (2012)
by: Dean, Andrew David
Published: (2012)
The asymptotics of an amplitude for the 4-simplex
by: Barrett, John W., et al.
Published: (1999)
by: Barrett, John W., et al.
Published: (1999)
Wavefronts and Rays As Characteristics and Asymptotics
by: Bóna, Andrej, et al.
Published: (2011)
by: Bóna, Andrej, et al.
Published: (2011)
Global-local nonlinear model reduction for flows in heterogeneous porous media
by: Alotaibi, M., et al.
Published: (2015)
by: Alotaibi, M., et al.
Published: (2015)
An optimal homotopy asymptotic method for finding solutions of non-linear fractional mathematical models / Okundalaye Oluwaseun Olumide
by: Okundalaye Oluwaseun , Olumide
Published: (2022)
by: Okundalaye Oluwaseun , Olumide
Published: (2022)
Effect of rice starch on the linear expansion of fish crackers (keropok)
by: Yu, Swee Yean
Published: (1993)
by: Yu, Swee Yean
Published: (1993)
Effect of steaming time on the linear expansion of fish crackers ('keropok')
by: Kyaw, Z.Y., et al.
Published: (1999)
by: Kyaw, Z.Y., et al.
Published: (1999)
EPRL/FK asymptotics and the flatness problem
by: Camoes de Oliveira, Jose Ricardo
Published: (2016)
by: Camoes de Oliveira, Jose Ricardo
Published: (2016)
Perturbation and asymptotic methods in mechanics and waves
by: Talbot, Frances Mary
Published: (1982)
by: Talbot, Frances Mary
Published: (1982)
Asymptotic distribution of sample covariance determinant
by: Djauhari, Maman A.
Published: (2009)
by: Djauhari, Maman A.
Published: (2009)
Solving singular perturbation with one boundary layer problem of second order ODE using the method of matched asymptotic expansion (MMAE) / Firdawati Mohamed and Masnira Ramli
by: Mohamed, Firdawati, et al.
Published: (2018)
by: Mohamed, Firdawati, et al.
Published: (2018)
The combined influence of substrate elasticity and surface-grafted molecules on the exvivo expansion of hematopoietic stem and progenitor cells
by: Kumar, Suresh, et al.
Published: (2013)
by: Kumar, Suresh, et al.
Published: (2013)
Asymptotics in the time-dependent Hawking and Unruh effects
by: Juárez Aubry, Benito A.
Published: (2016)
by: Juárez Aubry, Benito A.
Published: (2016)
Spatial smoothing, Nugget effect and infill asymptotics
by: Lu, Zudi, et al.
Published: (2008)
by: Lu, Zudi, et al.
Published: (2008)
The asymptotics of extreme returns in the Australian stock market
by: Jeyasreedharan, N., et al.
Published: (2009)
by: Jeyasreedharan, N., et al.
Published: (2009)
Quantum tomography: asymptotic theory and statistical methodology
by: Acharya, Anirudh
Published: (2018)
by: Acharya, Anirudh
Published: (2018)
On the asymptotical and practical stability of stochastic control systems
by: Abedi, Fakhreddin, et al.
Published: (2013)
by: Abedi, Fakhreddin, et al.
Published: (2013)
A locally conservative stress recovery technique for continuous Galerkin FEM in linear elasticity
by: Bush, L., et al.
Published: (2015)
by: Bush, L., et al.
Published: (2015)
An enhanced scaled boundary finite element method for linear elastic fracture
by: Egger, Adrian W., et al.
Published: (2017)
by: Egger, Adrian W., et al.
Published: (2017)
Improving embedded linear elasticity in deformable models using stiffness matrix
by: Md Ali, Nor Azura
Published: (2015)
by: Md Ali, Nor Azura
Published: (2015)
Development of non linear thermal expansion model for casted aluminium silicon carbide
by: Roni Sahroni, Taufik
Published: (2012)
by: Roni Sahroni, Taufik
Published: (2012)
Elastic properties of solids at high pressure
by: Vekilov, Y., et al.
Published: (2015)
by: Vekilov, Y., et al.
Published: (2015)
Finite indentation of highly curved elastic shells
by: Pearce, Simon P., et al.
Published: (2018)
by: Pearce, Simon P., et al.
Published: (2018)
Similar Items
-
Asymptotic expansions for high-contrast elliptic equations
by: Calo, Victor, et al.
Published: (2014) -
A note on variational multiscale methods for high-contrast heterogeneous porous media flows with rough source terms
by: Calo, Victor, et al.
Published: (2011) -
Application of asymptotic expansion homogenization for vascularized poroelastic brain tissue
by: Abbas, Shabudin, et al.
Published: (2018) -
Elastic and non-linear acoustic properties and thermal expansion of cerium metaphosphate glasses
by: Saunders, G.A., et al.
Published: (2001) -
Asymptotic Expansions of Solutions To The Helmholtz and Maxwell’s Equations Advancements in Ray Theory
by: Radjen, A. M. R.
Published: (2023)