The Experts below are selected from a list of 8022 Experts worldwide ranked by ideXlab platform
Håkan Hallberg - One of the best experts on this subject based on the ideXlab platform.
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Diagonally implicit Runge–Kutta (DIRK) integration applied to finite strain crystal plasticity modeling
Computational Mechanics, 2018Co-Authors: Sally Issa, Mathias Wallin, Matti Ristinmaa, Håkan HallbergAbstract:Diagonally implicit Runge–Kutta methods (DIRK) are evaluated and compared to standard solution procedures for finite strain crystal plasticity boundary value problems. The structure of the DIRK implementation is similar to that of a conventional implicit backward Euler scheme. It is shown that only very small modifications are required in order to transform the numerical scheme from one into the other. This similarity permits efficient adaption of the integration procedure to a particular problem. To enforce plastic incompressibility, different projection techniques are evaluated. Rate dependent crystal plasticity, using a single crystal is simulated under various load cases as well as a larger polycrystalline sample. It is shown that the two-stage DIRK scheme combined with a step size control and a time continuous projection technique for the update of the plastic deformation gradient is in general more accurate than the implicit backward Euler and an update based on Exponential Mapping.
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Diagonally implicit Runge–Kutta (DIRK) integration applied to finite strain crystal plasticity modeling
Computational Mechanics, 2018Co-Authors: Sally Issa, Mathias Wallin, Matti Ristinmaa, Håkan HallbergAbstract:Diagonally implicit Runge–Kutta methods (DIRK) are evaluated and compared to standard solution procedures for finite strain crystal plasticity boundary value problems. The structure of the DIRK implementation is similar to that of a conventional implicit backward Euler scheme. It is shown that only very small modifications are required in order to transform the numerical scheme from one into the other. This similarity permits efficient adaption of the integration procedure to a particular problem. To enforce plastic incompressibility, different projection techniques are evaluated. Rate dependent crystal plasticity, using a single crystal is simulated under various load cases as well as a larger polycrystalline sample. It is shown that the two-stage DIRK scheme combined with a step size control and a time continuous projection technique for the update of the plastic deformation gradient is in general more accurate than the implicit backward Euler and an update based on Exponential Mapping.
M Ortiz - One of the best experts on this subject based on the ideXlab platform.
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the special linear update an application of differential manifold theory to the update of isochoric plasticity flow rules
International Journal for Numerical Methods in Engineering, 2014Co-Authors: Daniel E. Hurtado, Laurent Stainier, M OrtizAbstract:The evolution of plastic deformations in metals, governed by incompressible flow rules, has been traditionally solved using the Exponential Mapping. However, the accurate calculation of the Exponential Mapping and its tangents may result in computationally demanding schemes in some cases, while common low-order approximations may lead to poor behavior of the constitutive update because of violation of the incompressibility condition. Here, we introduce the special-linear (SL) update for isochoric plasticity, a flow-rule integration scheme based on differential manifolds concepts. The proposed update exactly enforces the plastic incompressibility condition while being first-order accurate and consistent with the flow rule, thus bearing all the desirable properties of the now standard Exponential Mapping update. In contrast to the Exponential-Mapping update, we demonstrate that the SL update can drastically reduce the computing time, reaching one order of magnitude speed-ups in the calculation of the update tangents. We demonstrate the applicability of the update by way of simulation of single-crystal plasticity uniaxial loading tests. We anticipate that the SL update will open the way to efficient constitutive updates for the solution of complex multiscale material models, thus making it a very promising tool for large-scale simulations.
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The special‐linear update: An application of differential manifold theory to the update of isochoric plasticity flow rules
International Journal for Numerical Methods in Engineering, 2013Co-Authors: Daniel E. Hurtado, Laurent Stainier, M OrtizAbstract:The evolution of plastic deformations in metals, governed by incompressible flow rules, has been traditionally solved using the Exponential Mapping. However, the accurate calculation of the Exponential Mapping and its tangents may result in computationally demanding schemes in some cases, while common low-order approximations may lead to poor behavior of the constitutive update because of violation of the incompressibility condition. Here, we introduce the special-linear (SL) update for isochoric plasticity, a flow-rule integration scheme based on differential manifolds concepts. The proposed update exactly enforces the plastic incompressibility condition while being first-order accurate and consistent with the flow rule, thus bearing all the desirable properties of the now standard Exponential Mapping update. In contrast to the Exponential-Mapping update, we demonstrate that the SL update can drastically reduce the computing time, reaching one order of magnitude speed-ups in the calculation of the update tangents. We demonstrate the applicability of the update by way of simulation of single-crystal plasticity uniaxial loading tests. We anticipate that the SL update will open the way to efficient constitutive updates for the solution of complex multiscale material models, thus making it a very promising tool for large-scale simulations.
Sally Issa - One of the best experts on this subject based on the ideXlab platform.
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Diagonally implicit Runge–Kutta (DIRK) integration applied to finite strain crystal plasticity modeling
Computational Mechanics, 2018Co-Authors: Sally Issa, Mathias Wallin, Matti Ristinmaa, Håkan HallbergAbstract:Diagonally implicit Runge–Kutta methods (DIRK) are evaluated and compared to standard solution procedures for finite strain crystal plasticity boundary value problems. The structure of the DIRK implementation is similar to that of a conventional implicit backward Euler scheme. It is shown that only very small modifications are required in order to transform the numerical scheme from one into the other. This similarity permits efficient adaption of the integration procedure to a particular problem. To enforce plastic incompressibility, different projection techniques are evaluated. Rate dependent crystal plasticity, using a single crystal is simulated under various load cases as well as a larger polycrystalline sample. It is shown that the two-stage DIRK scheme combined with a step size control and a time continuous projection technique for the update of the plastic deformation gradient is in general more accurate than the implicit backward Euler and an update based on Exponential Mapping.
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Diagonally implicit Runge–Kutta (DIRK) integration applied to finite strain crystal plasticity modeling
Computational Mechanics, 2018Co-Authors: Sally Issa, Mathias Wallin, Matti Ristinmaa, Håkan HallbergAbstract:Diagonally implicit Runge–Kutta methods (DIRK) are evaluated and compared to standard solution procedures for finite strain crystal plasticity boundary value problems. The structure of the DIRK implementation is similar to that of a conventional implicit backward Euler scheme. It is shown that only very small modifications are required in order to transform the numerical scheme from one into the other. This similarity permits efficient adaption of the integration procedure to a particular problem. To enforce plastic incompressibility, different projection techniques are evaluated. Rate dependent crystal plasticity, using a single crystal is simulated under various load cases as well as a larger polycrystalline sample. It is shown that the two-stage DIRK scheme combined with a step size control and a time continuous projection technique for the update of the plastic deformation gradient is in general more accurate than the implicit backward Euler and an update based on Exponential Mapping.
Daniel E. Hurtado - One of the best experts on this subject based on the ideXlab platform.
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the special linear update an application of differential manifold theory to the update of isochoric plasticity flow rules
International Journal for Numerical Methods in Engineering, 2014Co-Authors: Daniel E. Hurtado, Laurent Stainier, M OrtizAbstract:The evolution of plastic deformations in metals, governed by incompressible flow rules, has been traditionally solved using the Exponential Mapping. However, the accurate calculation of the Exponential Mapping and its tangents may result in computationally demanding schemes in some cases, while common low-order approximations may lead to poor behavior of the constitutive update because of violation of the incompressibility condition. Here, we introduce the special-linear (SL) update for isochoric plasticity, a flow-rule integration scheme based on differential manifolds concepts. The proposed update exactly enforces the plastic incompressibility condition while being first-order accurate and consistent with the flow rule, thus bearing all the desirable properties of the now standard Exponential Mapping update. In contrast to the Exponential-Mapping update, we demonstrate that the SL update can drastically reduce the computing time, reaching one order of magnitude speed-ups in the calculation of the update tangents. We demonstrate the applicability of the update by way of simulation of single-crystal plasticity uniaxial loading tests. We anticipate that the SL update will open the way to efficient constitutive updates for the solution of complex multiscale material models, thus making it a very promising tool for large-scale simulations.
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The special‐linear update: An application of differential manifold theory to the update of isochoric plasticity flow rules
International Journal for Numerical Methods in Engineering, 2013Co-Authors: Daniel E. Hurtado, Laurent Stainier, M OrtizAbstract:The evolution of plastic deformations in metals, governed by incompressible flow rules, has been traditionally solved using the Exponential Mapping. However, the accurate calculation of the Exponential Mapping and its tangents may result in computationally demanding schemes in some cases, while common low-order approximations may lead to poor behavior of the constitutive update because of violation of the incompressibility condition. Here, we introduce the special-linear (SL) update for isochoric plasticity, a flow-rule integration scheme based on differential manifolds concepts. The proposed update exactly enforces the plastic incompressibility condition while being first-order accurate and consistent with the flow rule, thus bearing all the desirable properties of the now standard Exponential Mapping update. In contrast to the Exponential-Mapping update, we demonstrate that the SL update can drastically reduce the computing time, reaching one order of magnitude speed-ups in the calculation of the update tangents. We demonstrate the applicability of the update by way of simulation of single-crystal plasticity uniaxial loading tests. We anticipate that the SL update will open the way to efficient constitutive updates for the solution of complex multiscale material models, thus making it a very promising tool for large-scale simulations.
Mathias Wallin - One of the best experts on this subject based on the ideXlab platform.
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Diagonally implicit Runge–Kutta (DIRK) integration applied to finite strain crystal plasticity modeling
Computational Mechanics, 2018Co-Authors: Sally Issa, Mathias Wallin, Matti Ristinmaa, Håkan HallbergAbstract:Diagonally implicit Runge–Kutta methods (DIRK) are evaluated and compared to standard solution procedures for finite strain crystal plasticity boundary value problems. The structure of the DIRK implementation is similar to that of a conventional implicit backward Euler scheme. It is shown that only very small modifications are required in order to transform the numerical scheme from one into the other. This similarity permits efficient adaption of the integration procedure to a particular problem. To enforce plastic incompressibility, different projection techniques are evaluated. Rate dependent crystal plasticity, using a single crystal is simulated under various load cases as well as a larger polycrystalline sample. It is shown that the two-stage DIRK scheme combined with a step size control and a time continuous projection technique for the update of the plastic deformation gradient is in general more accurate than the implicit backward Euler and an update based on Exponential Mapping.
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Diagonally implicit Runge–Kutta (DIRK) integration applied to finite strain crystal plasticity modeling
Computational Mechanics, 2018Co-Authors: Sally Issa, Mathias Wallin, Matti Ristinmaa, Håkan HallbergAbstract:Diagonally implicit Runge–Kutta methods (DIRK) are evaluated and compared to standard solution procedures for finite strain crystal plasticity boundary value problems. The structure of the DIRK implementation is similar to that of a conventional implicit backward Euler scheme. It is shown that only very small modifications are required in order to transform the numerical scheme from one into the other. This similarity permits efficient adaption of the integration procedure to a particular problem. To enforce plastic incompressibility, different projection techniques are evaluated. Rate dependent crystal plasticity, using a single crystal is simulated under various load cases as well as a larger polycrystalline sample. It is shown that the two-stage DIRK scheme combined with a step size control and a time continuous projection technique for the update of the plastic deformation gradient is in general more accurate than the implicit backward Euler and an update based on Exponential Mapping.
