Found 422 Documents (Results 1–100)
A variational derivation of stoney-like formulas for self-stressed bilayered plates. (English) Zbl 07920571
Boundary conditions and null Lagrangians in the calculus of variations and elasticity. (English) Zbl 07920546
From elastic shallow shells to beams with elastic hinges by \(\Gamma\)-convergence. (English) Zbl 07900951
Analysis of a combined filtered/phase-field approach to topology optimization in elasticity. (English) Zbl 1535.49015
Adjoint-based optimal control of contractile elastic bodies. Application to limbless locomotion on frictional substrates. (English) Zbl 1536.74020
Topology optimization of fluid-structure interaction problems with total stress equilibrium. (English) Zbl 1533.65215
Sharp-interface limit of a multi-phase spectral shape optimization problem for elastic structures. (English) Zbl 1532.35443
Reviewer: Alain Brillard (Riedisheim)
Determination of rigid inclusions immersed in an isotropic elastic body from boundary measurement. (English) Zbl 1527.35189
Controllability of the linear elasticity as a first-order system using a stabilized space-time mixed formulation. (English) Zbl 1512.93017
A singular limit of a family of variational evolutions for a brittle elastic bi-layer. (English) Zbl 1512.49003
The problem of the location of an inclusion in a two-dimensional elastic body with two thin rigid inclusions. (English. Russian original) Zbl 1525.74152
J. Math. Sci., New York 270, No. 4, 571-578 (2023); translation from Probl. Mat. Anal. 122, 61-67 (2023).
Reviewer: Antonio André Novotny (Petrópolis)
Overhang penalization in additive manufacturing via phase field structural topology optimization with anisotropic energies. (English) Zbl 1511.49002
The element-free Galerkin method for the variational-hemivariational inequality of the dynamic Signorini-Tresca contact problems with friction in elastic materials. (English) Zbl 1500.65068
A new method for estimating the bending stiffness curve of non-uniform Euler-Bernoulli beams using static deflection data. (English) Zbl 1505.74114
Application of asymptotic and numerical methods to determine stability boundaries of distributed systems in a flow. (English. Ukrainian original) Zbl 1505.65283
Cybern. Syst. Anal. 58, No. 2, 233-241 (2022); translation from Kibern. Sist. Anal. 58, No. 2, 86-95 (2022).
Two-scale topology optimization with heterogeneous mesostructures based on a local volume constraint. (English) Zbl 1524.49076
On Chien’s question to the Hu-Washizu three-field functional and variational principle. (English) Zbl 1496.35381
On the time-domain full waveform inversion for time-dissipative and dispersive poroelastic media. (English) Zbl 1504.35541
Dimension reduction through gamma convergence for general prestrained thin elastic sheets. (English) Zbl 1494.49003
Michell truss type theories as a \(\Gamma\)-limit of optimal design in linear elasticity. (English) Zbl 1492.49017
Linearization of elasticity models for incompressible materials. (English) Zbl 1498.49025
Reviewer: Faitori Omer Salem (Tripoli)
Gamma-convergence results for nematic elastomer bilayers: relaxation and actuation. (English) Zbl 1491.82021
Optimal control of thin elastic inclusion in an elastic body. (Russian. English summary) Zbl 1491.49038
A locking-free nonconforming FEM for optimal control problems governed by linear elasticity equations. (English) Zbl 1489.65160
Optimal fine-scale structures in compliance minimization for a uniaxial load in three space dimensions. (English) Zbl 1490.49031
A mixed variational principle in nonlinear elasticity using Cartan’s moving frames and implementation with finite element exterior calculus. (English) Zbl 1507.74072
On the quasiconvex hull for a three-well problem in two dimensional linear elasticity. (English) Zbl 1496.74028
On the improved interior regularity of a boundary value problem modelling the displacement of a linearly elastic elliptic membrane shell subject to an obstacle. (English) Zbl 1481.74516
The critical points of the elastic energy among curves pinned at endpoints. (English) Zbl 1481.74223
Shape and topology optimization involving the eigenvalues of an elastic structure: a multi-phase-field approach. (English) Zbl 1475.35217
A variational formulation for one-dimensional linear thermoviscoelasticity. (English) Zbl 1503.74024
Cavities identification in linear elasticity: energy-gap versus \(L^2\)-gap cost functionals. (English) Zbl 07484750
The topological ligament in shape optimization: a connection with thin tubular inhomogeneities. (English) Zbl 1482.35069
Sharp conditions for the linearization of finite elasticity. (English) Zbl 1486.49019
Reviewer: Fabrizio Davì (Ancona)
Derivation of a line-tension model for dislocations from a nonlinear three-dimensional energy: the case of quadratic growth. (English) Zbl 1473.49015
Reviewer: Claudia Simionescu-Badea (Wien)
A unified framework for high-order numerical discretizations of variational inequalities. (English) Zbl 1524.65783
Sparse optimal control of a phase field tumor model with mechanical effects. (English) Zbl 1461.49060
On a phase field model of Cahn-Hilliard type for tumour growth with mechanical effects. (English) Zbl 1456.35091
Reviewer: Joseph Shomberg (Providence)
Energy scaling laws for geometrically linear elasticity models for microstructures in shape memory alloys. (English) Zbl 1459.49004
Dynamical contact problems with regard to friction of couple-stress viscoelasticity for inhomogeneous anisotropic bodies. (English) Zbl 1455.35115
Dynamics of two linearly elastic bodies connected by a heavy thin soft viscoelastic layer. (English) Zbl 1447.49021
A note on the extreme points of the cone of quasiconvex quadratic forms with orthotropic symmetry. (English) Zbl 1440.74104
An asymptotic variational problem modeling a thin elastic sheet on a liquid, lifted at one end. (English) Zbl 1445.49008
Upscaling of screw dislocations with increasing tangential strain. (English) Zbl 1440.74098
Atti Accad. Naz. Lincei, Cl. Sci. Fis. Mat. Nat., IX. Ser., Rend. Lincei, Mat. Appl. 31, No. 2, 421-445 (2020).
Engineering notes on concepts of the finite element method for elliptic problems. (English) Zbl 1453.65417
Schröder, Jörg (ed.) et al., Novel finite element technologies for solids and structures. Papers based on the presentations at the CISM course, Udine, Italy, September 18–22, 2017. Cham: Springer. CISM Courses Lect. 597, 1-39 (2020).
Equilibrium configurations for epitaxially strained films and material voids in three-dimensional linear elasticity. (English) Zbl 1457.49010
Reviewer: Georgios Psaradakis (Mannheim)
Alternating direction method of multiplier for the unilateral contact problem with an automatic penalty parameter selection. (English) Zbl 1481.49031
Topological sensitivity analysis and Kohn-Vogelius formulation for detecting a rigid inclusion in an elastic body. (English) Zbl 1439.49077
Reviewer: Antoine Henrot (Vandœuvre-lès-Nancy)
Structural models based on 3D constitutive laws: variational structure and numerical solution. (English) Zbl 1439.74016
Linearized elasticity as Mosco limit of finite elasticity in the presence of cracks. (English) Zbl 1431.49013
Nucleation barriers for the cubic-to-tetragonal phase transformation in the absence of self-accommodation. (English) Zbl 07805131
On the existence of a global minimum in inverse parameters identification by self-optimizing inverse analysis method. (English) Zbl 1442.49002
Design of multi-layer materials using inverse homogenization and a level set method. (English) Zbl 1440.74274
Structural optimization under internal porosity constraints using topological derivatives. (English) Zbl 1440.74273
Application of the variational method of homogeneous solutions for the optimal control of the axisymmetric thermoelastic state of a cylinder. (English. Russian original) Zbl 1435.80002
J. Math. Sci., New York 243, No. 1, 128-144 (2019); translation from Mat. Metody Fiz.-Mekh. Polya 60, No. 2, 105-116 (2017).
A variational problem on the deformation energy of an elastic medium. (English) Zbl 1441.49025
Reviewer: Alain Brillard (Riedisheim)
Fast and accurate algorithm for cavities reconstruction in an elasticity problem. (English) Zbl 1434.35220
Virtual element method for an elliptic hemivariational inequality with applications to contact mechanics. (English) Zbl 1432.74202
Reviewer: Bülent Karasözen (Ankara)
Modified Lagrange functional for solving elastic problem with a crack in continuum mechanics. (English) Zbl 1427.74050
Hyperelastic Lie quadratics. (English) Zbl 1427.49028
A direct method based on the Chebyshev polynomials for a new class of nonlinear variable-order fractional 2D optimal control problems. (English) Zbl 1451.49044
Thin layer approximations in mechanical structures: the Dirichlet boundary condition case. (Approximations de couche mince dans les structures mécaniques : le cas de la condition aux limites de Dirichlet.) (English. French summary) Zbl 1423.35020
Reviewer: Kaïs Ammari (Monastir)
Shape sensitivity analysis for identification of voids under Navier’s boundary conditions in linear elasticity. (English) Zbl 1419.35250
A new variational approach to linearization of traction problems in elasticity. (English) Zbl 1420.49014
Shape sensitivity analysis for elastic structures with generalized impedance boundary conditions of the Wentzell type – application to compliance minimization. (English) Zbl 1428.35573
Reviewer: Dongbing Zha (Shanghai)
Crack growth control based on the topological derivative of the Rice’s integral. (English) Zbl 1412.74011
Optimal control of an elastic crane-trolley-load system – a case study for optimal control of coupled ODE-PDE systems. (English) Zbl 1486.49002
Strong vs. weak symmetry in stress-based mixed finite element methods for linear elasticity. (English) Zbl 1425.74475
Radu, Florin Adrian (ed.) et al., Numerical mathematics and advanced applications. ENUMATH 2017. Selected papers based on the presentations at the European conference, Bergen, Norway, September 25–29, 2017. Cham: Springer. Lect. Notes Comput. Sci. Eng. 126, 323-333 (2018).
Confinement of dislocations inside a crystal with a prescribed external strain. (English) Zbl 1417.74007
Numerical approach to a model for quasistatic damage with spatial \(BV\)-regularization. (English) Zbl 1407.49048
Rocca, Elisabetta (ed.) et al., Trends in applications of mathematics to mechanics. Proceedings of the INDAM symposium, STAMM, Rome, Italy, September 5–9, 2016. Cham: Springer. Springer INdAM Ser. 27, 179-203 (2018).
A posteriori modeling error estimates in the optimization of two-scale elastic composite materials. (English) Zbl 1456.65159
Boundary control of small solutions to fluid-structure interactions arising in coupling of elasticity with Navier-Stokes equation under mixed boundary conditions. (English) Zbl 1406.35229
Unilateral contact problems for homogeneous hemitropic elastic solids with a friction. (English) Zbl 1402.35125
Reviewer: Alain Brillard (Riedisheim)
Mathematical and numerical simulation of equilibrium of an elastic body reinforced by a thin elastic inclusion. (English. Russian original) Zbl 1471.74010
Comput. Math. Math. Phys. 58, No. 5, 761-774 (2018); translation from Zh. Vychisl. Mat. Mat. Fiz. 58, No. 5, 790-805 (2018).
Optimum experimental design by shape optimization of specimens in linear elasticity. (English) Zbl 1394.35579
Reviewer: Kurt Marti (München)
A model for dislocations in epitaxially strained elastic films. (English. French summary) Zbl 1387.49005
Reviewer: Elvira Mascolo (Firenze)
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