Directory: | ./ |
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File: | HyperelasticityLaws/Ogden.cpp |
Date: | 2024-04-14 07:32:34 |
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Lines: | 47 | 47 | 100.0% |
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1 | // ______ ______ _ _ _____ ______ | ||
2 | // | ____| ____| | (_)/ ____| | ____| | ||
3 | // | |__ | |__ | | _| (___ ___| |__ | ||
4 | // | __| | __| | | | |\___ \ / __| __| | ||
5 | // | | | |____| |____| |____) | (__| |____ | ||
6 | // |_| |______|______|_|_____/ \___|______| | ||
7 | // Finite Elements for Life Sciences and Engineering | ||
8 | // | ||
9 | // License: LGL2.1 License | ||
10 | // FELiScE default license: LICENSE in root folder | ||
11 | // | ||
12 | // Main authors: Vicente Mataix Ferrandiz | ||
13 | // | ||
14 | |||
15 | // System includes | ||
16 | #include <string> | ||
17 | #include <cmath> | ||
18 | #include <limits> | ||
19 | |||
20 | // External includes | ||
21 | |||
22 | // Project includes | ||
23 | #include "Core/felisceTools.hpp" | ||
24 | #include "Core/felisceParam.hpp" | ||
25 | #include "HyperelasticityLaws/Ogden.hpp" | ||
26 | |||
27 | namespace felisce | ||
28 | { | ||
29 | |||
30 | 574 | Ogden::Ogden() | |
31 | : BaseClassType(), | ||
32 | 574 | m_C1(1.e20), // silly value on purpose | |
33 | 574 | m_C2(1.e20), | |
34 | 574 | m_a(1.e20) | |
35 | { | ||
36 | 574 | } | |
37 | |||
38 | /***********************************************************************************/ | ||
39 | /***********************************************************************************/ | ||
40 | |||
41 | 10 | void Ogden::InitParameters() | |
42 | { | ||
43 | // Call base class | ||
44 | 10 | BaseClassType::InitParameters(); | |
45 | |||
46 | 10 | const auto& r_ogden = FelisceParam::instance().Ogden; | |
47 | 10 | m_C1 = r_ogden.C1; | |
48 | 10 | m_C2 = r_ogden.C2; | |
49 | 10 | m_a = r_ogden.a; | |
50 | 10 | } | |
51 | |||
52 | /***********************************************************************************/ | ||
53 | /***********************************************************************************/ | ||
54 | |||
55 | 3 | double Ogden::W() const | |
56 | { | ||
57 | 3 | BaseClassType::W(); | |
58 | |||
59 | 3 | const double I1 = HyperElasticLaw::m_invariants[0]; | |
60 | 3 | const double I2 = HyperElasticLaw::m_invariants[1]; | |
61 | 3 | const double I3 = HyperElasticLaw::m_invariants[2]; | |
62 | |||
63 | // Law: | ||
64 | // W = C1*(I1-3)+C2*(I2-3)+a*(I3-1)-(C1+2*C2+a)*Log[I3] | ||
65 | |||
66 | 3 | return m_C1 * (I1 - 3.0) + m_C2 * (I2 - 3.0) + m_a * (I3 - 1.0) - (m_C1 + 2.0 * m_C2 + m_a) * std::log(I3); | |
67 | } | ||
68 | |||
69 | /***********************************************************************************/ | ||
70 | /***********************************************************************************/ | ||
71 | |||
72 | 2 | double Ogden::FirstDerivativeWFirstInvariant() const | |
73 | { | ||
74 | 2 | BaseClassType::FirstDerivativeWFirstInvariant(); | |
75 | 2 | return m_C1; | |
76 | } | ||
77 | |||
78 | /***********************************************************************************/ | ||
79 | /***********************************************************************************/ | ||
80 | |||
81 | 2 | double Ogden::FirstDerivativeWSecondInvariant() const | |
82 | { | ||
83 | 2 | BaseClassType::FirstDerivativeWSecondInvariant(); | |
84 | 2 | return m_C2; | |
85 | } | ||
86 | |||
87 | /***********************************************************************************/ | ||
88 | /***********************************************************************************/ | ||
89 | |||
90 | 2 | double Ogden::FirstDerivativeWThirdInvariant() const | |
91 | { | ||
92 | 2 | BaseClassType::FirstDerivativeWThirdInvariant(); | |
93 | |||
94 | 2 | const double I3 = HyperElasticLaw::m_invariants[2]; | |
95 |
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2 | FEL_ASSERT("I3 should be strictly positive! (and more precisely somewhere in the vicinity of 1.)" && std::abs(I3) > std::numeric_limits<double>::epsilon()); |
96 | |||
97 | 2 | return m_a - (m_C1 + 2.0 * m_C2 + m_a)/I3; | |
98 | } | ||
99 | |||
100 | /***********************************************************************************/ | ||
101 | /***********************************************************************************/ | ||
102 | |||
103 | 2 | double Ogden::SecondDerivativeWFirstInvariant() const | |
104 | { | ||
105 | 2 | return 0.0; | |
106 | } | ||
107 | |||
108 | /***********************************************************************************/ | ||
109 | /***********************************************************************************/ | ||
110 | |||
111 | 2 | double Ogden::SecondDerivativeWSecondInvariant() const | |
112 | { | ||
113 | 2 | return 0.0; | |
114 | } | ||
115 | |||
116 | /***********************************************************************************/ | ||
117 | /***********************************************************************************/ | ||
118 | |||
119 | 2 | double Ogden::SecondDerivativeWThirdInvariant() const | |
120 | { | ||
121 | 2 | BaseClassType::SecondDerivativeWThirdInvariant(); | |
122 | |||
123 | 2 | const double I3 = HyperElasticLaw::m_invariants[2]; | |
124 | |||
125 |
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2 | FEL_ASSERT("I3 should be strictly positive!" && std::abs(I3) > std::numeric_limits<double>::epsilon()); |
126 | |||
127 | 2 | return (m_C1 + 2.0 * m_C2 + m_a)/std::pow(I3, 2); | |
128 | } | ||
129 | |||
130 | /***********************************************************************************/ | ||
131 | /***********************************************************************************/ | ||
132 | |||
133 | 2 | double Ogden::SecondDerivativeWFirstAndSecondInvariant() const | |
134 | { | ||
135 | 2 | BaseClassType::SecondDerivativeWFirstAndSecondInvariant(); | |
136 | |||
137 | 2 | return 0.0; | |
138 | } | ||
139 | |||
140 | /***********************************************************************************/ | ||
141 | /***********************************************************************************/ | ||
142 | |||
143 | 2 | double Ogden::SecondDerivativeWFirstAndThirdInvariant() const | |
144 | { | ||
145 | 2 | BaseClassType::SecondDerivativeWFirstAndThirdInvariant(); | |
146 | |||
147 | 2 | return 0.0; | |
148 | } | ||
149 | |||
150 | /***********************************************************************************/ | ||
151 | /***********************************************************************************/ | ||
152 | |||
153 | 2 | double Ogden::SecondDerivativeWSecondAndThirdInvariant() const | |
154 | { | ||
155 | 2 | BaseClassType::SecondDerivativeWSecondAndThirdInvariant(); | |
156 | |||
157 | 2 | return 0.0; | |
158 | } | ||
159 | |||
160 | } // namespace felisce | ||
161 |