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  • 1.
    Cannmo, Patrik
    et al.
    Högskolan i Jönköping, Tekniska Högskolan, JTH, Maskinteknik. Högskolan i Jönköping, Tekniska Högskolan, JTH. Forskningsområde Simulering och optimering.
    Mähler, Lennart
    Runesson, Kenneth
    Modelling of interfacial viscoplastic slip coupled to damage in a polycrystalline microstructure1997Inngår i: Computational Mechanics, ISSN 0178-7675, E-ISSN 1432-0924, Vol. 20, nr 1-2, s. 12-19Artikkel i tidsskrift (Fagfellevurdert)
    Abstract [en]

    The mesomechanics behavior of a polycrystalline microstructure subjected to creep and constant strain rate loadings is investigated. The analysis is based on a Voronoi polygonization strategy for the generation of grains, that are bonded to each other via interfaces along the grain boundaries. A new constitutive model is proposed for the rate-dependent debonding along these interfaces, whereby damage is kinetically coupled to viscoplastic slip and dilatation. The paper may be viewed as generalizing the rate-independent model used in Cannmo et al. (1995).

  • 2.
    Hansbo, Peter
    et al.
    Högskolan i Jönköping, Tekniska Högskolan, JTH. Forskningsmiljö Produktutveckling - Simulering och optimering.
    Hermansson, Joakim
    Chalmers University of Technology.
    Nitsche's method for coupling non-matching meshes in fluid-structure vibration problems2003Inngår i: Computational Mechanics, ISSN 0178-7675, E-ISSN 1432-0924, Vol. 32, nr 1-2, s. 134-139Artikkel i tidsskrift (Fagfellevurdert)
    Abstract [en]

    Nitsche's method [11] is a classical method for imposing essential boundary conditions weakly. Unlike the penalty method, it is consistent with the original differential equation. The strong point of Nitsche's method is that it retains the convergence rate of the underlying finite element method, whereas the standard penalty method either requires a "very large" penalty parameter, destroying the condition number of the resulting matrix problem, or, in case the condition number is to be retained, is limited to first order energy-norm accuracy. In this paper, we give a formulation of Nitsche's method suitable for the problem of fluid-structure interaction. Numerical examples are given.

  • 3.
    Hansbo, Peter
    et al.
    Högskolan i Jönköping, Tekniska Högskolan, JTH, Produktutveckling. Högskolan i Jönköping, Tekniska Högskolan, JTH. Forskningsmiljö Produktutveckling - Simulering och optimering.
    Larson, Mats G.
    Umeå University.
    A posteriori error estimates for continuous/discontinuous Galerkin approximations of the Kirchhoff–Love buckling problem2015Inngår i: Computational Mechanics, ISSN 0178-7675, E-ISSN 1432-0924, Vol. 56, nr 5, s. 815-827Artikkel i tidsskrift (Fagfellevurdert)
    Abstract [en]

    Second order buckling theory involves a oneway coupled coupled problem where the stress tensor from a plane stress problem appears in an eigenvalue problem for the fourth order Kirchhoff plate. In this paper we present an a posteriori error estimate for the critical buckling load and mode corresponding to the smallest eigenvalue and associated eigenvector. A particular feature of the analysis is that we take the effect of approximate computation of the stress tensor and also provide an error indicator for the plane stress problem. The Kirchhoff plate is discretized using a continuous/discontinuous finite element method based on standard continuous piecewise polynomial finite element spaces. The same finite element spaces can be used to solve the plane stress problem.

  • 4.
    Hansbo, Peter
    et al.
    Högskolan i Jönköping, Tekniska Högskolan, JTH, Produktutveckling. Högskolan i Jönköping, Tekniska Högskolan, JTH. Forskningsmiljö Produktutveckling - Simulering och optimering.
    Larson, Mats G.
    Department of Mathematics and Mathematical Statistics, Umeå University, Umeå, Sweden.
    Continuous/discontinuous finite element modelling of Kirchhoff plate structures in R3 using tangential differential calculus2017Inngår i: Computational Mechanics, ISSN 0178-7675, E-ISSN 1432-0924, Vol. 60, nr 4, s. 693-702Artikkel i tidsskrift (Fagfellevurdert)
    Abstract [en]

    We employ surface differential calculus to derive models for Kirchhoff plates including in-plane membrane deformations. We also extend our formulation to structures of plates. For solving the resulting set of partial differential equations, we employ a finite element method based on elements that are continuous for the displacements and discontinuous for the rotations, using (Formula presented.)-elements for the discretisation of the plate as well as for the membrane deformations. Key to the formulation of the method is a convenient definition of jumps and averages of forms that are d-linear in terms of the element edge normals.

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  • 5.
    Hansbo, Peter
    et al.
    Högskolan i Jönköping, Tekniska Högskolan, JTH, Produktutveckling. Högskolan i Jönköping, Tekniska Högskolan, JTH. Forskningsmiljö Produktutveckling - Simulering och optimering.
    Larson, Mats G.
    Umeå University.
    Larsson, Fredrik
    Chalmers University of Technology.
    Tangential differential calculus and the finite element modeling of a large deformation elastic membrane problem2015Inngår i: Computational Mechanics, ISSN 0178-7675, E-ISSN 1432-0924, Vol. 56, nr 1, s. 87-95Artikkel i tidsskrift (Fagfellevurdert)
    Abstract [en]

    We develop a finite element method for a large deformation membrane elasticity problem on meshed curved surfaces using a tangential differential calculus approach that avoids the use of classical differential geometric methods. The method is also applied to form finding problems.

  • 6.
    Hansbo, Peter
    et al.
    Högskolan i Jönköping, Tekniska Högskolan, JTH, Maskinteknik. Högskolan i Jönköping, Tekniska Högskolan, JTH. Forskningsmiljö Produktutveckling - Simulering och optimering.
    Larson, Mats G.
    Umeå University.
    Larsson, Karl
    Umeå University.
    Variational formulation of curved beams in global coordinates2014Inngår i: Computational Mechanics, ISSN 0178-7675, E-ISSN 1432-0924, Vol. 53, nr 4, s. 611-623Artikkel i tidsskrift (Fagfellevurdert)
    Abstract [en]

    In this paper we derive a variational formulation for the static analysis of a linear curved beam natively expressed in global Cartesian coordinates. Using an implicit description of the beam midline during derivation we eliminate the need for local coordinates. The only geometrical information appearing in the final expressions for the governing equations is the tangential direction. As a consequence, zero or discontinuous curvature, for example at inflection points, pose no difficulty in this formulation. Kinematic assumptions encompassing both Timoshenko and Euler-Bernoulli beam theories are considered. With the exception of truly three-dimensional formulations, models for curved beams found in the literature are typically derived in the local Frenet frame. We implement finite element methods with global degrees of freedom and discuss curvature coupling effects and locking. Numerical comparisons with classical solutions for straight and curved cantilever beams under tip load are given, as well as numerical examples illustrating curvature coupling effects. 

  • 7.
    Hansbo, Peter
    et al.
    Högskolan i Jönköping, Tekniska Högskolan, JTH, Produktutveckling. Högskolan i Jönköping, Tekniska Högskolan, JTH. Forskningsmiljö Produktutveckling - Simulering och optimering.
    Larsson, Fredrik
    Department of Applied Mechanics, Chalmers University of Technology, Göteborg, Sweden.
    The nonconforming linear strain tetrahedron for a large deformation elasticity problem2016Inngår i: Computational Mechanics, ISSN 0178-7675, E-ISSN 1432-0924, Vol. 58, nr 6, s. 929-935Artikkel i tidsskrift (Fagfellevurdert)
    Abstract [en]

    In this paper we investigate the performance of the nonconforming linear strain tetrahedron element introduced by Hansbo (Comput Methods Appl Mech Eng 200(9–12):1311–1316, 2011; J Numer Methods Eng 91(10):1105–1114, 2012). This approximation uses midpoints of edges on tetrahedra in three dimensions with either point continuity or mean continuity along edges of the tetrahedra. Since it contains (rotated) bilinear terms it performs substantially better than the standard constant strain element in bending. It also allows for under-integration in the form of one point Gauss integration of volumetric terms in near incompressible situations. We combine under-integration of the volumetric terms with houglass stabilization for the isochoric terms.

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