Adhesion #140
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| alamo.program = mechanics | ||
| alamo.program.mechanics.model = finite.adhesion | ||
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| plot_file = output | ||
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| # this is not a time integration, so do | ||
| # exactly one timestep and then quit | ||
| timestep = 0.01 | ||
| stop_time = 2.0 | ||
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| # amr parameters | ||
| amr.plot_int = 1 | ||
| amr.max_level = 6 | ||
| amr.n_cell = 32 32 32 | ||
| amr.blocking_factor = 8 | ||
| amr.regrid_int = 1 | ||
| amr.grid_eff = 1.0 | ||
| amr.cell.all = 1 | ||
| amr.thermo.plot_int = 1 | ||
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| # geometry | ||
| geometry.prob_lo = -8 -8 -8 | ||
| geometry.prob_hi = 8 8 8 | ||
| geometry.is_periodic = 0 0 0 | ||
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| #ic.type = ellipse | ||
| #ic.ellipse.a = 1.0 0.75 0.5 # ellipse radii | ||
| #ic.ellipse.x0 = 0 0 0 # location of ellipse center | ||
| #ic.ellipse.eps = 0.1 # diffuse boundary | ||
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| ic.type = expression | ||
| ic.expression.constant.eps = 0.3 | ||
| ic.expression.constant.R = 4.0 | ||
| ic.expression.region0 = " (max( erf((x^2 + y^2 - R)/eps),0.0))^2" | ||
| ic.expression.region1 = " (max(-erf((x^2 + y^2 - R)/eps),0.0))^2" | ||
| ic.expression.region2 = "1.0 - (max( erf((x^2 + y^2 - R)/eps),0.0))^2 - (max(-erf((x^2 + y^2 - R)/eps),0.0))^2" | ||
| #ic.expression.region2 = "0.0" | ||
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| # elastic moduli | ||
| nmodels = 2 | ||
| model1.mu = 2.0 | ||
| model1.kappa = 3.0 | ||
| model2.mu = 10.0 | ||
| model2.kappa = 30.0 | ||
| model3.mu = 2.0 | ||
| model3.kappa = 3.0 | ||
| model1.d = 0.0 | ||
| model2.d = 0.0 | ||
| model3.d = 0.0 | ||
| model1.zeta = 0.0 | ||
| model2.zeta = 0.0 | ||
| model3.zeta = 1.0 | ||
| model1.L = 0.0 | ||
| model2.L = 0.0 | ||
| model3.L = 0.2 | ||
| #model3.mu = 210 | ||
| #model3.kappa = 0.3 | ||
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| solver.verbose = 3 | ||
| solver.nriters = 10 | ||
| #solver.max_iter = 20 | ||
| solver.fixed_iter = 100 | ||
| #elasticop.small = 0.1 | ||
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| print_model = 1 | ||
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| bc.type = tensiontest | ||
| bc.tensiontest.type = uniaxial_stress | ||
| bc.tensiontest.disp=(0,1,2:0,8,0) |
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| // This models a finite-strain, solid with adhesion behavior governed by | ||
| // a combination of elastic energy and an adhesion decay term. | ||
| // | ||
| // The energy and derivatives are: | ||
| // | ||
| // .. math:: | ||
| // :nowrap: | ||
| // | ||
| // \begin{gather} | ||
| // W = d \left[ \frac{\mu}{2J^{2/3}}(F^T F : I - 3) + \frac{\kappa}{2}(J - 1)^2 \right] + \frac{\zeta}{J^n} \\ | ||
| // DW = \text{(first Piola-Kirchhoff stress)} \\ | ||
| // DDW = \text{(tangent stiffness tensor)} | ||
| // \end{gather} | ||
| // | ||
| // where: | ||
| // - :math:`d` The coefficient of degradable part, | ||
| // - :math:`\mu` is the shear modulus, | ||
| // - :math:`\kappa` is the bulk modulus, | ||
| // - :math:`\zeta` is the adhesion decay coefficient or the coefficient of non-degradable part, | ||
| // - :math:`n` is the decay exponent, | ||
| // - :math:`F` is the deformation gradient, | ||
| // - :math:`J = \det(F)` is the volume ratio, | ||
| // - :math:`F^T F : I = \text{trace}(F^T F)` is used to capture isochoric deformation. | ||
| // | ||
| // Notes: | ||
| // | ||
| // Adhesion energy model W(F): | ||
| // Consists of two parts: | ||
| // 1. Degradable (elastic shear + volumetric terms) | ||
| // 2. Non-degradable (adhesion term decaying with volume expansion) | ||
| // This model is rate-independent, reversible, and purely elastic. | ||
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Member
There was a problem hiding this comment. Please add documentation at the top of this file to outline the method. See |
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| #ifndef MODEL_SOLID_FINITE_ADHESION_H_ | ||
| #define MODEL_SOLID_FINITE_ADHESION_H_ | ||
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| #include "IO/ParmParse.H" | ||
| #include "Model/Solid/Finite/NeoHookean.H" | ||
| #include "Model/Solid/Solid.H" | ||
| #include "Set/Set.H" | ||
| #include <array> // For std::array to represent fourth-order tensors | ||
| #include <cmath> // For std::pow and std::abs | ||
| #include <eigen3/Eigen/Dense> // For Eigen::Matrix3d | ||
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| namespace Model | ||
| { | ||
| namespace Solid | ||
| { | ||
| namespace Finite | ||
| { | ||
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| class Adhesion : public NeoHookean | ||
| { | ||
| public: | ||
| static constexpr KinematicVariable kinvar = KinematicVariable::F; | ||
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| Adhesion() {} | ||
| Adhesion(Solid<Set::Sym::Major> base) : NeoHookean(base) {} | ||
| virtual ~Adhesion() {} | ||
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| // Material parameters (declared in order) | ||
| Set::Scalar d = NAN; ///< Adhesion strength (degradable part coefficient) | ||
| Set::Scalar zeta = NAN; ///< Adhesion decay parameter (non-degradable part) | ||
| Set::Scalar n = NAN; ///< Decay exponent | ||
| Set::Scalar L = NAN; ///< Mobility | ||
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| // Return a zero-parameter adhesion model. | ||
| static Adhesion | ||
| Zero() | ||
| { | ||
| Adhesion adhesion; | ||
| adhesion.d = 0.0; ///< Adhesion strength (degradable part coefficient) | ||
| adhesion.zeta = 0.0; ///< Adhesion decay parameter (non-degradable part) | ||
| adhesion.n = 0.0; ///< Decay exponent | ||
| adhesion.L = 0.0; | ||
| adhesion.mu = 0.0; | ||
| adhesion.kappa = 0.0; | ||
| return adhesion; | ||
| } | ||
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| // Return a random-parameter adhesion model. | ||
| static Adhesion | ||
| Random() | ||
| { | ||
| Adhesion adhesion; | ||
| adhesion.d = Util::Random() ; // Util::Random(); ///< Adhesion strength (degradable part coefficient) | ||
| adhesion.zeta = Util::Random(); ///< Adhesion decay parameter (non-degradable part) | ||
| adhesion.n = Util::Random(); ///< Decay exponent | ||
| adhesion.mu = Util::Random(); | ||
| adhesion.kappa = Util::Random();// Util::Random(); | ||
| adhesion.L = Util::Random(); | ||
| return adhesion; | ||
| } | ||
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| // Parse function: Reads material parameters from the input file. | ||
| // Here, we assume the input file provides: mu, kappa, d, zeta, and n. | ||
| static void | ||
| Parse(Adhesion &value, IO::ParmParse &pp) | ||
| { | ||
| pp.queryclass<NeoHookean>(value); | ||
| // Initial value for damage | ||
| pp_query_default("d", value.d, 0.0); | ||
| // Adhesion decay parameter (non-degradable part) | ||
| pp_query_default("zeta", value.zeta, 0.0); | ||
| // Decay exponent | ||
| pp_query_default("n", value.n, 1.0); | ||
| // Mobility | ||
| pp_query_default("L", value.L, 0.0); | ||
| } | ||
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| // Strain energy function: | ||
| // W = d * [ 0.5*mu*(trace(F^T F)-3)/J^(2/3) + 0.5*kappa*(J-1)^2 ] + zeta/J^n | ||
| Set::Scalar | ||
| W(const Set::Matrix &F) const override | ||
| { | ||
| Set::Scalar w_nh = (1.0 - d) * NeoHookean::W(F); | ||
| Set::Scalar J = F.determinant(); | ||
| Set::Scalar w_compress = zeta * std::pow(J, -n); | ||
| return w_nh + w_compress; | ||
| } | ||
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| // First Piola-Kirchhoff stress (derivative of W) | ||
| Set::Matrix | ||
| DW(const Set::Matrix &F) const override | ||
| { | ||
| Set::Matrix dw_nh = (1.0 - d) * NeoHookean::DW(F); | ||
| Set::Scalar J = F.determinant(); | ||
| Set::Matrix FinvT = F.inverse().transpose(); | ||
| Set::Matrix dw_compress = zeta * (-n * std::pow(J, -n) * FinvT); | ||
| return dw_nh + dw_compress; | ||
| } | ||
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| // Tangent stiffness tensor (second derivative of W) | ||
| Set::Matrix4<AMREX_SPACEDIM, Set::Sym::Major> | ||
| DDW(const Set::Matrix &F) const override | ||
| { | ||
| Set::Matrix4<AMREX_SPACEDIM, Set::Sym::Major> ddw_nh = | ||
| (1.0 - d) * NeoHookean::DDW(F); | ||
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| Set::Scalar J = F.determinant(); | ||
| Set::Matrix FinvT = F.inverse().transpose(); | ||
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| Set::Matrix4<AMREX_SPACEDIM, Set::Sym::Major> ddw_compress; | ||
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| for (int i = 0; i < AMREX_SPACEDIM; i++) | ||
| { | ||
| for (int j = 0; j < AMREX_SPACEDIM; j++) | ||
| { | ||
| for (int k = 0; k < AMREX_SPACEDIM; k++) | ||
| { | ||
| for (int l = 0; l < AMREX_SPACEDIM; l++) | ||
| { | ||
| // Adhesion-related term (zeta) | ||
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| // dFinvT(i,j) / dF(k,l) | ||
| // = dFinv(j,i) / dF(k,l) | ||
| // = -dFinvT(k,j) * dFinvT(iL) | ||
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| Set::Scalar t3 = n * n * std::pow(J, -n) * FinvT(i, j) * FinvT(k, l) | ||
| + n * std::pow(J, -n) * FinvT(k, j) * FinvT(i, l); | ||
| ddw_compress(i, j, k, l) = zeta * t3; | ||
| } | ||
| } | ||
| } | ||
| } | ||
| return ddw_nh + ddw_compress; | ||
| } | ||
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| // Print material parameters | ||
| virtual void | ||
| Print(std::ostream &out) const override | ||
| { | ||
| out << "d = " << d << ", mu = " << mu << ", kappa = " << kappa | ||
| << ", zeta = " << zeta << ", n = " << n; | ||
| } | ||
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| virtual void Advance(Set::Scalar dt, Set::Matrix strain, | ||
| Set::Matrix P, Set::Scalar /*time*/) override | ||
| { | ||
| // Util::Message(INFO,dt); | ||
| // Util::Message(INFO,L); | ||
| // Util::Message(INFO,(P.transpose()*P).trace()); | ||
| Set::Scalar dd = std::max(0.0,(P.transpose()*P).trace() * (0.8 - d)); | ||
| // Util::Message(INFO,dd); | ||
| d += dd * L * dt; | ||
| } | ||
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| #define OP_CLASS Adhesion | ||
| #define OP_VARS X(d) X(mu) X(kappa) X(zeta) X(n) X(L) | ||
| #include "Model/Solid/InClassOperators.H" | ||
| }; | ||
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| #include "Model/Solid/ExtClassOperators.H" | ||
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| } // namespace Finite | ||
| } // namespace Solid | ||
| } // namespace Model | ||
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| template<> | ||
| ALAMO_SINGLE_DEFINITION | ||
| int Set::Field<Model::Solid::Finite::Adhesion>::NComp() const | ||
| { | ||
| return 4; | ||
| } | ||
| template<> | ||
| ALAMO_SINGLE_DEFINITION | ||
| std::string Set::Field<Model::Solid::Finite::Adhesion>::Name(int i) const | ||
| { | ||
| if (i == 0) return name + "_mu"; | ||
| if (i == 1) return name + "_kapp"; | ||
| if (i == 2) return name + "_d"; | ||
| if (i == 3) return name + "_L"; | ||
| return name; | ||
| } | ||
| template<> | ||
| ALAMO_SINGLE_DEFINITION | ||
| void Set::Field<Model::Solid::Finite::Adhesion>::Copy(int a_lev, amrex::MultiFab& a_dst, int a_dstcomp, int a_nghost) const | ||
| { | ||
| for (amrex::MFIter mfi(a_dst, amrex::TilingIfNotGPU()); mfi.isValid(); ++mfi) | ||
| { | ||
| const amrex::Box& bx = mfi.growntilebox(amrex::IntVect(a_nghost)); | ||
| if (bx.ok()) | ||
| { | ||
| amrex::Array4<const Model::Solid::Finite::Adhesion> const& src = ((*this)[a_lev])->array(mfi); | ||
| amrex::Array4<Set::Scalar> const& dst = a_dst.array(mfi); | ||
| for (int n = 0; n < AMREX_SPACEDIM * AMREX_SPACEDIM; n++) | ||
| { | ||
| amrex::ParallelFor(bx, [=] AMREX_GPU_DEVICE(int i, int j, int k) { | ||
| dst(i, j, k, a_dstcomp + 0) = src(i, j, k).mu; | ||
| dst(i, j, k, a_dstcomp + 1) = src(i, j, k).kappa; | ||
| dst(i, j, k, a_dstcomp + 2) = src(i, j, k).d; | ||
| dst(i, j, k, a_dstcomp + 3) = src(i, j, k).L; | ||
| }); | ||
| } | ||
| } | ||
| } | ||
| } | ||
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| #endif // MODEL_SOLID_FINITE_ADHESION_H_ | ||
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The formatting in this file is noncompliant with the style outlined in
.clang-format.