Strain.hpp

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// Copyright © 2020-2024 Alexandre Coderre-Chabot
//
// This file is part of Physical Quantities (PhQ), a C++ library of physical quantities, physical
// models, and units of measure for scientific computing.
//
// Physical Quantities is hosted at:
//     https://github.com/acodcha/phq
//
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//     https://mit-license.org
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#ifndef PHQ_STRAIN_HPP
#define PHQ_STRAIN_HPP
 
#include <array>
#include <cstddef>
#include <functional>
#include <ostream>
 
#include "DimensionlessSymmetricDyad.hpp"
#include "ScalarStrain.hpp"
#include "SymmetricDyad.hpp"
 
namespace PhQ {
 
// Forward declaration for class PhQ::Strain.
template <typename NumericType>
class DisplacementGradient;
 
// Forward declaration for class PhQ::Strain.
template <typename NumericType>
class Time;
 
// Forward declaration for class PhQ::Strain.
template <typename NumericType>
class Frequency;
 
// Forward declaration for class PhQ::Strain.
template <typename NumericType>
class StrainRate;
 
// Forward declaration for class PhQ::Strain.
template <typename NumericType>
class TemperatureDifference;
 
// Forward declaration for class PhQ::Strain.
template <typename NumericType>
class VolumetricThermalExpansionCoefficient;
 
/// \brief Three-dimensional Euclidean strain symmetric dyadic tensor. Contains six components in
/// Cartesian coordinates: xx, xy = yx, xz = zx, yy, yz = zy, and zz. For the scalar components or
/// resultants of a strain tensor, see PhQ::ScalarStrain. For the time rate of change of strain, see
/// PhQ::StrainRate, PhQ::Time, and PhQ::Frequency.
template <typename NumericType = double>
class Strain : public DimensionlessSymmetricDyad<NumericType> {
public:
  /// \brief Default constructor. Constructs a strain tensor with an uninitialized value.
  Strain() = default;
 
  /// \brief Constructor. Constructs a strain tensor whose value has the given xx, xy, xz, yy, yz,
  /// and zz Cartesian components.
  constexpr Strain(const NumericType xx, const NumericType xy, const NumericType xz,
                   const NumericType yy, const NumericType yz, const NumericType zz)
    : DimensionlessSymmetricDyad<NumericType>(xx, xy, xz, yy, yz, zz) {}
 
  /// \brief Constructor. Constructs a strain tensor from a given array representing its value's xx,
  /// xy, xz, yy, yz, and zz Cartesian components.
  explicit constexpr Strain(const std::array<NumericType, 6>& xx_xy_xz_yy_yz_zz)
    : DimensionlessSymmetricDyad<NumericType>(xx_xy_xz_yy_yz_zz) {}
 
  /// \brief Constructor. Constructs a strain tensor with a given value.
  explicit constexpr Strain(const SymmetricDyad<NumericType>& value)
    : DimensionlessSymmetricDyad<NumericType>(value) {}
 
  /// \brief Constructor. Constructs a strain tensor from a given strain rate tensor and time using
  /// the definition of the strain rate tensor.
  constexpr Strain(const StrainRate<NumericType>& strain_rate, const Time<NumericType>& time);
 
  /// \brief Constructor. Constructs a strain tensor from a given strain rate tensor and frequency
  /// using the definition of the strain rate tensor.
  constexpr Strain(
      const StrainRate<NumericType>& strain_rate, const Frequency<NumericType>& frequency);
 
  /// \brief Constructor. Constructs a strain tensor from a given displacement gradient using the
  /// definition of the strain tensor.
  explicit constexpr Strain(const DisplacementGradient<NumericType>& displacement_gradient);
 
  /// \brief Constructor. Constructs a strain tensor from a given volumetric thermal expansion
  /// coefficient and temperature difference using the definition of the volumetric thermal
  /// expansion coefficient.
  constexpr Strain(const VolumetricThermalExpansionCoefficient<NumericType>&
                       volumetric_thermal_expansion_coefficient,
                   const TemperatureDifference<NumericType>& temperature_difference);
 
  /// \brief Destructor. Destroys this strain tensor.
  ~Strain() noexcept = default;
 
  /// \brief Copy constructor. Constructs a strain tensor by copying another one.
  constexpr Strain(const Strain<NumericType>& other) = default;
 
  /// \brief Copy constructor. Constructs a strain tensor by copying another one.
  template <typename OtherNumericType>
  explicit constexpr Strain(const Strain<OtherNumericType>& other)
    : Strain(static_cast<SymmetricDyad<NumericType>>(other.Value())) {}
 
  /// \brief Move constructor. Constructs a strain tensor by moving another one.
  constexpr Strain(Strain<NumericType>&& other) noexcept = default;
 
  /// \brief Copy assignment operator. Assigns this strain tensor by copying another one.
  constexpr Strain<NumericType>& operator=(const Strain<NumericType>& other) = default;
 
  /// \brief Copy assignment operator. Assigns this strain tensor by copying another one.
  template <typename OtherNumericType>
  constexpr Strain<NumericType>& operator=(const Strain<OtherNumericType>& other) {
    this->value = static_cast<SymmetricDyad<NumericType>>(other.Value());
    return *this;
  }
 
  /// \brief Move assignment operator. Assigns this strain tensor by moving another one.
  constexpr Strain<NumericType>& operator=(Strain<NumericType>&& other) noexcept = default;
 
  /// \brief Statically creates a strain tensor of zero.
  [[nodiscard]] static constexpr Strain<NumericType> Zero() {
    return Strain<NumericType>{SymmetricDyad<NumericType>::Zero()};
  }
 
  /// \brief Returns the xx Cartesian component of this strain tensor.
  [[nodiscard]] constexpr ScalarStrain<NumericType> xx() const noexcept {
    return ScalarStrain<NumericType>{this->value.xx()};
  }
 
  /// \brief Returns the xy = yx Cartesian component of this strain tensor.
  [[nodiscard]] constexpr ScalarStrain<NumericType> xy() const noexcept {
    return ScalarStrain<NumericType>{this->value.xy()};
  }
 
  /// \brief Returns the xz = zx Cartesian component of this strain tensor.
  [[nodiscard]] constexpr ScalarStrain<NumericType> xz() const noexcept {
    return ScalarStrain<NumericType>{this->value.xz()};
  }
 
  /// \brief Returns the yx = xy Cartesian component of this strain tensor.
  [[nodiscard]] constexpr ScalarStrain<NumericType> yx() const noexcept {
    return ScalarStrain<NumericType>{this->value.yx()};
  }
 
  /// \brief Returns the yy Cartesian component of this strain tensor.
  [[nodiscard]] constexpr ScalarStrain<NumericType> yy() const noexcept {
    return ScalarStrain<NumericType>{this->value.yy()};
  }
 
  /// \brief Returns the yz = zy Cartesian component of this strain tensor.
  [[nodiscard]] constexpr ScalarStrain<NumericType> yz() const noexcept {
    return ScalarStrain<NumericType>{this->value.yz()};
  }
 
  /// \brief Returns the zx = xz Cartesian component of this strain tensor.
  [[nodiscard]] constexpr ScalarStrain<NumericType> zx() const noexcept {
    return ScalarStrain<NumericType>{this->value.zx()};
  }
 
  /// \brief Returns the zy = yz Cartesian component of this strain tensor.
  [[nodiscard]] constexpr ScalarStrain<NumericType> zy() const noexcept {
    return ScalarStrain<NumericType>{this->value.zy()};
  }
 
  /// \brief Returns the zz Cartesian component of this strain tensor.
  [[nodiscard]] constexpr ScalarStrain<NumericType> zz() const noexcept {
    return ScalarStrain<NumericType>{this->value.zz()};
  }
 
  constexpr Strain<NumericType> operator+(const Strain<NumericType>& strain) const {
    return Strain<NumericType>{this->value + strain.value};
  }
 
  constexpr Strain<NumericType> operator-(const Strain<NumericType>& strain) const {
    return Strain<NumericType>{this->value - strain.value};
  }
 
  constexpr Strain<NumericType> operator*(const NumericType number) const {
    return Strain<NumericType>{this->value * number};
  }
 
  constexpr StrainRate<NumericType> operator*(const Frequency<NumericType>& frequency) const;
 
  constexpr Strain<NumericType> operator/(const NumericType number) const {
    return Strain<NumericType>{this->value / number};
  }
 
  constexpr StrainRate<NumericType> operator/(const Time<NumericType>& time) const;
 
  constexpr void operator+=(const Strain<NumericType>& strain) noexcept {
    this->value += strain.value;
  }
 
  constexpr void operator-=(const Strain<NumericType>& strain) noexcept {
    this->value -= strain.value;
  }
 
  constexpr void operator*=(const NumericType number) noexcept {
    this->value *= number;
  }
 
  constexpr void operator/=(const NumericType number) noexcept {
    this->value /= number;
  }
};
 
template <typename NumericType>
inline constexpr bool operator==(
    const Strain<NumericType>& left, const Strain<NumericType>& right) noexcept {
  return left.Value() == right.Value();
}
 
template <typename NumericType>
inline constexpr bool operator!=(
    const Strain<NumericType>& left, const Strain<NumericType>& right) noexcept {
  return left.Value() != right.Value();
}
 
template <typename NumericType>
inline constexpr bool operator<(
    const Strain<NumericType>& left, const Strain<NumericType>& right) noexcept {
  return left.Value() < right.Value();
}
 
template <typename NumericType>
inline constexpr bool operator>(
    const Strain<NumericType>& left, const Strain<NumericType>& right) noexcept {
  return left.Value() > right.Value();
}
 
template <typename NumericType>
inline constexpr bool operator<=(
    const Strain<NumericType>& left, const Strain<NumericType>& right) noexcept {
  return left.Value() <= right.Value();
}
 
template <typename NumericType>
inline constexpr bool operator>=(
    const Strain<NumericType>& left, const Strain<NumericType>& right) noexcept {
  return left.Value() >= right.Value();
}
 
template <typename NumericType>
inline std::ostream& operator<<(std::ostream& stream, const Strain<NumericType>& strain) {
  stream << strain.Print();
  return stream;
}
 
template <typename NumericType>
inline constexpr Strain<NumericType> operator*(
    const NumericType number, const Strain<NumericType>& strain) {
  return strain * number;
}
 
}  // namespace PhQ
 
namespace std {
 
template <typename NumericType>
struct hash<PhQ::Strain<NumericType>> {
  inline size_t operator()(const PhQ::Strain<NumericType>& strain) const {
    return hash<PhQ::SymmetricDyad<NumericType>>()(strain.Value());
  }
};
 
}  // namespace std
 
#endif  // PHQ_STRAIN_HPP